Friction in metal forming is different from that which is often associated with most mechanical systems. For instance, friction in metal forming arises because of the close contact between the tool and work surfaces and the high pressures that drive the surfaces together in these operations. In most metal forming processes, friction is undesirable, therefore metalworking lubricants are often applied to the tool work interface. i. Why is friction generally undesirable in metal forming and how is it different from most mechanical systems? (10marks) ii. What are the considerations in the selection of lubricant in metalworking operations (5marks) b. Your company want to manufacture a wire stock of initial diameter 4.175 mm. The area reduction achieved by drawing the wire through two dies with each contributing 0.2 area reduction. The initial strength coefficient of the starting metal is 276MPa and the strain hardening exponent is given as 0.12. At the work-die interface, the coefficient of friction was estimated to be 0.1 while the entrant angle of each die is given as 10∘. If the efficiency of the motor which is driving the capstan is 95%, then the capstan can deliver 1.5hp. Estimate the maximum possible speed of the wire as it exits the first die.

Answers

Answer 1

The maximum possible speed of the wire as it exits the first die is 1.55 m/s.

Friction is generally undesirable in metal forming because it leads to various problems such as poor surface finish, high power consumption, die wear, high forming loads, etc. Friction is different from most mechanical systems because in metal forming, the friction occurs between the tool and work surfaces which are in close contact, and there are high pressures that drive the surfaces together in these operations. In contrast, most mechanical systems experience friction due to the relative motion between two surfaces.

There are several considerations in the selection of lubricant in metalworking operations such as:

The type of lubricant: There are various types of lubricants such as oil-based, water-based, and synthetic. The selection of lubricant depends on the specific application.

The lubricant delivery system: The lubricant delivery system should be able to supply the lubricant to the tool-work interface effectively.

The lubricant properties: The lubricant should have properties such as high thermal stability, low viscosity, high lubricity, and good wetting properties.

Given that the initial diameter of the wire is 4.175 mm, the initial cross-sectional area is:

A1 = π/4 × (4.175 mm)² = 13.652 mm²

The area reduction contributed by each die is 0.2, so the final cross-sectional area is:

A3 = A1 × (1 - 0.2)² = 7.775 mm²

The average area reduction is:

ln(R) = (ln(A1) - ln(A3))/n = 0.2

n = (ln(A1) - ln(A3))/ln(R) = 6.28

The final diameter of the wire is:

d3 = 2 × √(A3/π) = 3.132 mm

The true strain is:

εt = ln(A1/A3) = 0.593

The true stress is:

σt = Kεtn = 276 × 0.593^0.12 = 101.7 MPa

The friction force is:

Ff = µF = µσtA1 = 0.1 × 101.7 × 13.652 = 139.7 N

The normal force is:

Fn = σtA1 = 101.7 × 13.652 = 1389.5 N

The total force is:

F = √ (Ff² + Fn²) = 1399.3 N

The power delivered by the capstan is:

P1 = 1.5 hp × 746 W/hp × 0.95 = 1060.7 W

The work done on the wire is:

W = F × s

where s is the distance traveled by the wire as it exits the first die. The strain hardening exponent is given as 0.12, so:

s = (ln(A1/A3)/n) × (d1/d3) = 9.74 mm

The velocity of the wire is:

v = P1/W = 1.55 m/s

Therefore, the maximum possible speed of the wire as it exits the first die is 1.55 m/s.

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Related Questions

A discordant igneous intrusion
Select one:
a.
cuts across bedding planes.
b.
will consist dominantly of pyroclasts.
c.
parallels sedimentary rock layering.
d.
produces deadly explosions.

Answers

A discordant igneous intrusion cuts across bedding planes. Here is the detailed explanation of the given question:Explanation:The Discordant igneous intrusion is the formation of an igneous rock mass when magma is injected into a host rock and cools there.

This form of igneous intrusion does not conform to the stratification or layering of the existing rock mass because it cuts across it.Therefore, a discordant igneous intrusion cuts across bedding planes.Option (a) is correct. It is the only option that describes the features of discordant igneous intrusion. Hence, the correct answer is option (a).

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HELP ASAP please.
Determine if each picture is a high or low tide.
Note: only ONE picture can be a high tide and only ONE picture can be a low tide!

HELP ASAP please.Determine if each picture is a high or low tide.Note: only ONE picture can be a high
HELP ASAP please.Determine if each picture is a high or low tide.Note: only ONE picture can be a high

Answers

Answer:

1st one low tide 2nd high tide

• The Law of Conservation of Energy states that matter cannot be created or destroyed. So
why do people say that we need to conserve energy? (5pts)

Answers

Because energy itself cannot be created nor destroyed however an energy source can be depleted. For example solar power. When it is sunny the solar energy powers a house for example. However when it is cloudy the energy from the sun gets depleted.

016 (part 1 of 2) 10.0 points
A neutron in a reactor makes an elastic headon collision with the nucleus of an atom initially at rest.
Assume: The mass of the atomic nucleus is
about 11.1 the mass of the neutron.
What fraction of the neutron’s kinetic energy is transferred to the atomic nucleus?
017 (part 2 of 2) 10.0 points
If the initial kinetic energy of the neutron is
4.2 × 10−13 J, find its final kinetic energy.
Answer in units of J.
No Rounding

Answers

The fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05

If the initial kinetic energy of the neutron is

4.2 × 10−13 J, its final kinetic energy  will be 2.50 joules

What is kinetic energy?

kinetic energy of an object is described as the energy that it possesses due to its motion which is also the work needed to accelerate a body of a given mass from rest to its stated velocity.

In elastic head-on collision, the energy of the system and total momentum is conserved.

For the neutron,

m - mass

Vi - initial velocity

Vf - final velocity

For the atom ,

M- mass

Mi - initial velocity

Mf - final velocity

Conserved momentum on the head-on collision

mvi = mvf + MVF

vi - vf = MmVf

Vi- vf = 11.1 vf...... (i)

The kinetic energy is

Vi²- vf² = 11.1 v²f.......(ii)

Combining both equations

Vi + Vf = Vf

Solve equation (I) and (III) for Vi

vi = 5.4vf

Now, the fraction of the neutron's kinetic energy transferred to the atomic nucleus,

1/2 mv²f/ 1/2 mv²i = 11.1/ 5.4

If the initial kinetic energy of the neutron is

4.2 × 10−13 J, its final kinetic energy  will be 2.50 joules

Hence, we can conclude that the fraction of the neutron's kinetic energy transferred to the atomic nucleus is 2.05

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When developing a model of the cycling of water between the land, the ocean, and the atmosphere, one must include the forces that propel the water. For the model, these forces would be-​

Answers

Answer: gl

Explanation:

When developing a model of the cycling of water between the land, the ocean, and the atmosphere. For the model, these forces would be gravity and sunlight( evaporation).

Sunlight causes evaporation and propels oceanic and atmospheric circulation, which transports water around the globe. Gravity causes precipitation to fall from clouds and water to flow downward on the land through watersheds. Energy from the sun and the force of gravity drive the continual cycling of water.

What is gravity ?

"Gravity is the force by which a planet or other body draws objects toward its center. The force of gravity keeps all of the planets in orbit around the sun."

What is energy ?

"Energy is defined as the “ability to do work, which is the ability to exert a force causing displacement of an object.”

What is water cycle ?

"The water cycle shows the continuous movement of water within the Earth and atmosphere. It is a complex system that includes many different processes. Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow."

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if the force moving an object points at least partially in the positive direction of the objects motion the work is considered to be

Answers

Answer:

the work done can be positive or negative  

Explanation:

what are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1000 cm3 ?

Answers

The dimensions of the lightest open-top right circular cylindrical can be  6.82cm.

How do you determine a hollow cylinder's dimensions?

The following is the formula to get the volume of something like a hollow cylinder: The volume of a hollow cylinder is equal to (R2 - r2) h cubic units, where "R" denotes the cylinder's outer radius, "r" its inner radius, and "h" its height. Similar to a prism but having circular bases, a cylinder is a 3-D shape.

How to calculate dimensions of the  lightest open-top right circular cylindrical?

Given, volume of the cylinder = 1000cm³

volume of cylinder = πr²h

The bottom and sides are included in the surface area:

SA = πr²+2πrh

The second equation may be written as, after solving the first equation for h.

 SA = πr² +2πr(V/(πr²)) = πr² +2V/r

Where the derivative is 0, the smallest area for the volume will be discovered.

 d(SA)/dr = 2πr -2V/r² = 0

The can radius is thus,

r = ∛(V/π)

and it's height, h = V/(π(V/π)^(2/3)) = ∛(V/π) = r

The dimensions for the specified volume are

r = h = ∛(1000/π) ≈ 6.82cm

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Jill is pulling a 200. Newton sled through the snow at constant velocity using a horizontal force of 10. Newtons. What is the kinetic coefficient of friction of the sled on the snow?

Answers

Answer:

The kinetic coefficient of friction of the sled on the snow is 0.05

Explanation:

The given parameters are;

The weight of the sled Jill is pulling, W = 200 N

The force with which Jill is pulling the the sled = 10 Newtons

The nature of the speed with which the sled is pulled = Constant speed

Therefore, given that the only opposing force to the pulling of the sled = The force of kinetic friction, we have;

The force with which Jill is pulling the the sled = 10 Newtons = The force of kinetic friction, \(F_k\)

The force of kinetic friction = The weight of the sled, W × The kinetic coefficient of friction of the sled on the snow, \(\mu _k\)

\(F_k\) = W × \(\mu _k\)

\(\mu _k\) = \(F_k\)/W = 10 N/(200 N) = 0.05

The kinetic coefficient of friction of the sled on the snow = \(\mu _k\) = 0.05.

Which factors affect gravitational force? Check all that apply.

composition of the objects
distance between the objects
masses of the objects
volume of the objects
weights of the objects

Answers

Gravitational force distance between the objects masses of the objects.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

f = Gmm/r²

df/dr = Gmm(-2/r³).

Gravitational force distance between the objects masses of the objects.

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Answer:

2. distance between objects

3. masses of the object

Explanation:

Which factors affect gravitational force? Check all that apply.composition of the objectsdistance between

if a girl carries 10kg bag

Answers

Then the girl is very strong. 10kg bags are really heavy

Uranus has an extreme tilt of its rotational axis. How does this affect its seasons?

Answers

Uranus' seasons are determined by the orientation of its rotational axis. Uranus experiences long periods of extreme heat and cold, and the seasonal changes are unlike any other planet in our solar system.

Uranus' extreme tilt of its rotational axis causes its seasons to be highly unusual. Instead of the usual seasonal changes caused by a planet's distance from the sun. For about a quarter of its orbit, one pole faces the sun and experiences continuous daylight, while the other pole faces away from the sun and experiences continuous darkness. The other two seasons are periods of transition between these extreme conditions.

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1. A 3 bladed fan is spinning at 16.7 revs/sec in a very dark room. If a flashing light (called a strobe light) flashes at just the right frequency, the spinning blades look motionless. What is the shortest time, in seconds, between flashes that will make the fan appear to be stopped?

Answers

Answer:

P = 1 / f = 1 / 16.7 = .06 sec      period of 1 revolution

Period of 1/3 revolution = .06 s / 3 = .02 sec

If the light flashes every .02 sec the fan will appear motionless

To what temperature will a 50.0 g piece of glass raise if it absorbs 5275 joules of heat and its specific heat capacity is 0.500 J/g°C? The initial temperature of the glass was 20.0 degrees C.

*Include your units!

Round your answer to the nearest whole number.

Answers

Answer:

231 C final temperature, 211 C change in temperature

Explanation:

To solve this problem you you use the q=MCΔT equation, where q is heat, m is mass, c is specific heat, and ΔT is change in temperature. Since we're given heat and solving for temperature we rearrange the equation to q/(M*C)=ΔT. At this point we simply plug in the given values to get a ΔT of 211, but this is simply the change in temperature so you add the initial to this to get the final temp.

A man has a mass of 66 kg on Earth. What is his weight in Newtons?

Answers

Answer:

answer is 66 kilograms-force = 647.2389 newtons

Explanation:

Answer:

\(\boxed {\boxed {\sf 646.8 \ Newtons }}\)

Explanation:

Weight in Newtons can be found by multiplying the mass times the acceleration of gravity.

\(W=m*g\)

The mass of the man is 66 kilograms on Earth.

Earth has an acceleration of gravity that is 9.8 meters per square second.

\(m= 66 \ kg \\g=9.8 \ m/s^2\)

Substitute the values into the formula.

\(W=66 \ kg *9.8 \ m/s^2\)

Multiply.  

\(W=646.8 \ kg*m/s^2\)

1 kg * m/s² is equal to 1 Newton, therefore our answer of 646.8 kg *m/s² is also equal to 646.8 Newtons, or N.

\(W=646.8 \ N\)

The man's weight in Newtons in 646.8 Newtons.

An object is dropped from a 32 m tall building. How fast will it be going when it strikes
the ground?

Answers

Answer: 25.04m/s

Explanation:

v^2 = v^2o + 2a(x-xo)

v^2 = velocity 

v^2o = initial velocity 

a = acceleration 

x = final position/distance 

xo = initial position/distance

In this case, the initial velocity is 0 since the ball wasn't moving before it was dropped. The final position is 32 as the motion ended after the ball traveled 32m. The initial position is 0. The acceleration is 9.8m/s (free fall). Plug these numbers into the formula: 

v^2 = 0 + 2(9.8)(32)

v^2 = 25.04396135 

Round to get 25.04m/s

An object has a kinetic energy of 25 J and a mass of 34 kg, how fast is the object moving?

Answers

It moves about 1,21 m/s

A shopper in a supermarket takes a box of sugar from a shelf that is 1.5 m high because he is going to bake some muffins. He also needs to get some blueberries. The sugar has a weight of 5N. What Potential Energy did the sugar have before it was taken from the shelf?Potential Energy = Weight x HeightWeight = Potential Energy / HeightHeight = Potential Energy / WeightWeight = Mass x 10Mass = Weight / 10

Answers

In order to calculate the potential energy of an object, we can use the formula below:

\(PE=m\cdot g\cdot h\)

Where PE is the potential energy (in Joules), m is the mass (in kg), g is the gravity acceleration (in m/s²) and h is the height (in meters).

Since mass times gravity is equal to the weight force, we can also write the formula as follows:

\(W=m\cdot g\)

Where W is the weight force (in Newtons).

So the formula will be:

\(PE=W\cdot h\)

Potential Energy = Weight x Height

Since the height is equal to 1.5 meters and the weight force is equal to 5 N, we have:

\(\begin{gathered} PE=5\cdot1.5 \\ PE=7.5\text{ J} \end{gathered}\)

The potential energy is 7.5 Joules.

the speed of a wave in a string does not depend on...

Answers

Answer:

it won't depend on the frequency of the wave

Explanation:

What substitution do we make to start working on a Bernoulli equation?

Answers

The question pertains to the Bernoulli equation and asks about the initial substitution that needs to be made when working with this equation.

To begin working with the Bernoulli equation, the initial substitution involves replacing the total pressure (which includes both static pressure and dynamic pressure) with the sum of the static pressure and the pressure due to the velocity of the fluid. This substitution simplifies the equation by separating the pressure terms from the velocity terms. The Bernoulli equation relates the pressure, velocity, and elevation of a fluid along a streamline and is derived from the principles of conservation of energy for an ideal, incompressible fluid flow.

The Bernoulli equation states that the sum of the pressure energy, kinetic energy, and potential energy per unit volume of fluid is constant along a streamline. By substituting the total pressure with the sum of static pressure and the pressure due to velocity, the equation becomes more amenable to analysis and can provide insights into the behavior of the fluid flow. This initial substitution is crucial for applying the Bernoulli equation and analyzing various fluid flow scenarios, such as in pipes, nozzles, and airfoils.

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What do the planets have in common and how are they different?

Answers

They are all different sizes and distances from the sun, they all rotate around the sun

Answer:

They vary quite a lot, yet there are some similarities

Explanation:

With Mercury, you have a hot and barren expanse of rock

With Venus, you also have a fairly hot and barren expanse of rock, with a molten core

With Earth, you have a warm/cool variant with water and a full atmosphere

With Mars, you have a colder and barren expanse of valleys and rock, with a rather paste-like ground

With Jupiter, we have our first gas giant, covered in clouds with a thick atmosphere

With Saturn, it is yet another gas giant, with rings of gas and rock and a dense core of metals, such as iron and nickel

With Uranus, it is also rather gas-full with a fair amount of water and methane, which results in its bluish color (an ice giant)

And finally with Neptune, it is the other ice giant, consisting of water, methane, and ammonia

So there are some similarities (gases, water, land formations, etc.) and some differences (rings, temperature, structure, etc.). Our planets are very unique to one another and continue to engage and surprise us.

Bodily injury due to slips and falls is considered a physical hazard from conditions involving:

Answers

Bodily injury due to slips and falls is considered a physical hazard from conditions involving: surface residues.

Causes of Injury

In general, injuries can be caused by:

Accidents and trauma, such as falls or hard knocks. Not warming up properly before exercising. Using inappropriate equipment or improper technique while exercising. Too push yourself (excessive exercise). Almost any part of the body can be injured, including muscles, bones, joints, and connective tissue (tendons and ligaments). The ankles and knees are particularly susceptible to injury.

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What information about elements can be collected from the periodic table?

Answers

Answer:

Using the data in the table scientists, students, and others that are familiar with the periodic table can extract information concerning individual elements. For instance, a scientist can use carbon's atomic mass to determine how many carbon atoms there are in a 1 kilogram block of carbon.

Explanation:

HOPE THIS HELPS LIKE AN RATE PLZ

Answer:

Within each element square, information on the element's symbol, atomic number, atomic mass, electronegativity, electron configuration, and valence numbers can be found. At the bottom of the periodic table is a two row block of elements that contain the lanthanoids and actinides.

Explanation:

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A car can travel 30.0 mi on one gallon of gas. How many km/L is this?

Answers

Answer

30 mi/gal * (1.61 km / mi ) /  (3.78 L/gal)   = 30 * .426 km/L = 12.8 km/L

You are seated in a bus and notice that a hand strap that is hanging from the ceiling hangs away from the vertical in the backward direction. From this observation, you can conclude that.

Answers

From this observation, You cannot conclude anything about the direction of the velocity of the bus.

The fact that the hand strap moves backward from vertical is assumed.

The direction of the strap depends on the velocity of the bus; if the bus is moving faster in one direction, the strap will move faster in the opposite direction.

The strap is bent backwards by the pseudo-action on it, which is the cause of the movement backwards.

angle of inclination is given by Tan∅  = α/g

where a=bus acceleration

∅ = inclination of strap with respect to vertical

Consequently, we are unable to draw any conclusions about the velocity of the bus direction of motion.

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you toss a ball straight up in the air, it goes up, comes down, and you catch it. if it took 4 s from when you threw it to when you caught it, how high did it go?

Answers

So, the height to which the ball was thrown is approximately 29.4 meters. To find the height to which the ball was thrown, we need to use the equation for motion under constant acceleration, which is given by:

h = vi * t + (1/2) * a * t^2

where h is the height, vi is the initial velocity (which is the upward velocity with which the ball was thrown), t is the time it took for the ball to reach its highest point, and a is the acceleration due to gravity (-9.8 m/s^2).

Since the ball was thrown upward and then came back down, it reached its highest point after half of the total time, which is 2 seconds. So, we can use 2 seconds for the value of t in the equation.

Next, we can solve for vi using the time it took for the ball to reach its highest point and the acceleration due to gravity:

vi = h / (2 * t) - (1/2) * a * t

Substituting the known values into the equation:

vi = h / (2 * 2) - (1/2) * (-9.8 m/s^2) * 2^2

vi = h / 4 + 9.8 m/s

Now, we can use the value of vi to find the height h:

h = vi * 2 - (1/2) * (-9.8 m/s^2) * 2^2

h = 2 * (h / 4 + 9.8 m/s) - (1/2) * (-9.8 m/s^2) * 2^2

h = 2 * (h / 4 + 9.8 m/s) + 9.8 m

h = (h / 2 + 19.6 m) + 9.8 m

h = h / 2 + 29.4 m

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A farsighted man cannot focus clearly on objects that are less than 145 cm from his eyes. To correct this problem, he wears eyeglasses that are located 2.0 cm in front of his eyes. Determine the focal length that will permit him to read The Gleaner, keeping it 32.0 cm from his eyes.

Answers

Answer:

To determine the focal length of the corrective lenses required, we can use the lens formula:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance (the distance from the object to the lens), and di is the image distance (the distance from the lens to the image).

In this case, the object distance is 32.0 cm (the distance from the man's eyes to the book), and the image distance is the distance from the lens to the man's eyes, which is 2.0 cm. We want to find the focal length, so we can rearrange the equation to solve for f:

1/f = 1/do + 1/di

1/f = 1/32.0 cm + 1/2.0 cm

1/f = 0.03125 cm^-1 + 0.5 cm^-1

1/f = 0.53125 cm^-1

f = 1.881 cm

Therefore, the required focal length of the corrective lenses is approximately 1.881 cm.

Answer:

1.212447π

Explanation:

To determine the focal length we use the formula

1/f=1/v-1/u
Here U is 145 cmand v is 32cm

therefore we use pythagorus theorem

AC^2=AB^2+BC^2

then we use reciprocal of circle

=1.212447π (use 3.14 or 22/7)

Why does the probability that the precipitation will be rain and not drizzle increase with a thicker cloud?

Answers

Answer: The probability that precipitation will be rain and not drizzle increases with a thicker cloud because thicker clouds contain more water droplets and ice crystals. These larger water droplets and ice crystals are more likely to collide and merge with each other, forming even larger drops or ice pellets that are too heavy to be suspended in the air and therefore fall to the ground as rain. Drizzle, on the other hand, is made up of smaller water droplets that remain suspended in the air longer because they are too small to fall as rain. So, with a thicker cloud, there is a greater chance that precipitation will be rain instead of drizzle.

Explanation:

As the cloud thickness increases, the probability of rain rather than drizzle also increases.

The probability that precipitation will be rain and not drizzle increases with a thicker cloud because thicker clouds generally contain more water droplets or ice crystals. These larger particles are more likely to collide and combine, forming larger droplets or ice crystals that can fall as rain instead of the smaller droplets that create drizzle. Additionally, thicker clouds often indicate more unstable atmospheric conditions, which can lead to stronger updrafts and more vigorous precipitation formation.

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what are derive quantities​

Answers

Answer:

Derived quantities are quantities that are calculated from two or more measurements. Derived quantities cannot be measured directly. They can only be computed. Many derived quantities are calculated in physical science. Three examples are area, volume, and density.

Answer:

What is derive quantities​?

Derived quantities are those that may be expressed in terms of base or derived quantities by means of the mathematical symbols of multiplication and division only (no addition or subtraction or any other sign). ... The first group consists of derived quantities, which have proper units. Derived quantities are expressed as algebraic combinations of base quantities.

Examples of the Derive quantities

Derive Quantity and their units

Volume, V =Density, p = kgm⁻³Velocity, v = ms⁻¹Force, F = NAcceleration, a = ms⁻²

How many newtons does a 5-kg backpack weigh on Earth?

Answers

a 5kg backpack will weigh 49 newtons on earth

What is downward force that acts on an airplane in flight

Answers

Answer:

重力

Explanation:

这是正确的答案还是不是

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