Determine the diameter of wire with a circular cross-section that has tensile force of 60.0Newtons, and this force produces a stress of 3 060 000 pascal ​

Answers

Answer 1

Answer:

the diameter of the wire is 5 mm.

Explanation:

Given;

tensile force of the wire, F = 60 N

stress on the wire, δ = 3,060,000 Pa = 3,060,000 N/m²

Let A be the cross sectional area of the wire

The cross sectional area of the wire is calculated as follows;

[tex]\sigma = \frac{F}{A} \\\\A = \frac{F}{\sigma} \\\\A = \frac{60}{3,060,000} = 1.961 \times 10^{-5} \ m^2[/tex]

The diameter of the wire is calculated as follows;

[tex]A = \frac{\pi d^2}{4} \\\\d = \sqrt{\frac{4A}{\pi} } \\\\d = \sqrt{\frac{4\times 1.961 \times 10^{-5}}{\pi} } \\\\d = 5.0 \times 10^{-3} \ m\\\\d = 5 \ mm[/tex]

Therefore, the diameter of the wire is 5 mm.


Related Questions

A plane takes off at St. Louis, flies straight to Denver, and then returns the same way. The plane flies at the same speed with respect to the ground during the entire flight, and there are no head winds or tail winds. Since the earth revolves around its axis once a day, you might expect that the times for the outbound trip and the return trip differ, depending on whether the plane flies against the earth's rotation or with it. Is this expectation true or false

Answers

Answer:

In the Both time

Explanation:

A plane takes off at St.Louis, flies straight to Denver, and then returns the same way. The plane flies at the same speed with respect to the ground during ...

Depending on whether the plane flies against the earth's rotation or with it. Is this expectation is true statement.

What is Plane?

Physical quantities such as work, temperature, and distance can all be completely represented in daily life by their magnitude. The laws of arithmetic can, however, be used to explain how these physical values relate to one another.

Motion in two dimensions is another name for motion in a plane. For instance, a projectile moving in a circle. The origin, along with the two coordinate axes X and Y, will serve as the reference point for the investigation of this kind of motion.

Therefore,  Depending on whether the plane flies against the earth's rotation or with it. Is this expectation is true statement.

To learn more about plane, refer to the link:

https://brainly.com/question/1962726

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A 45.0 kilogram boy is riding a 15.0-kilogram bicycle with a speed of 8.00 meters per second. What is the combined kinetic energy of the boy and the bicycle? A)480.J B)240.0J C)1920J D)1440J​

Answers

Answer:

1920Joules

Explanation:

The formula for calculating the kinetic energy of a body is expressed as;

KE = 1/2 mv²

m isthe mass

V is the speed

For the two masses, the combined KE is expressed as;

KE  = 1/2(m1+m2)v²

KE = 1/2(45+15)(8)²

KE  = 1/2 * 60 * 64

KE  = 30 * 64

KE  = 1920J

Hence the combined kinetic energy of the boy and the bicycle is 1920Joules

The combined kinetic energy of the boy and the bicycle is of 1920 J.

Given data:

The mass of boy is, m = 45.0 kg.

The mass of bicycle is, M = 15.0 kg.

The speed of bicycle is, v = 8.00 m/s.

The kinetic energy of an object is defined as the energy possessed by an object by virtue of motion of object. The combined kinetic energy of the boy-bicycle system is given as,

[tex]KE = \dfrac{1}{2}(m+M)v^{2}[/tex]

Solve by substituting the values as,

[tex]KE = \dfrac{1}{2}(45+15) \times 8^{2}\\\\KE = 1920 \;\rm J[/tex]

Thus, we can conclude that the combined kinetic energy of the boy and the bicycle is of 1920 J.

Learn more about the concept of kinetic energy here:

https://brainly.com/question/12669551

Which of the following statements is true?

Answers

Answer:

Aluminum and steel are good conductors of electricity.

Explanation:

1) All materials are good conductors of electricity.

This is false because nonmetal materials such as plastic or wood cannot conduct electricity.

2) Aluminum and steel are good conductors of electricity.

This is true. All metals are conductors of electricity.

3) Gold and wood are poor conductors of electricity.

This is false. Although gold can conduct electricity, wood can't.

4) Plastic and copper are good conductors of electricity.

This is false. Although copper can conduct electricity, plastic can't.

I hope this helps!

Answer:

B) Aluminum and steel are good conductors

Explanation:

PLEASE HELP ME I WILL GIVE BRAINLY

Select five short rope exercises and describe how they are done.

Answers

Answer:

Jumping battle slams - just move the rope up and down

Alternating jump wave - jump and move the rope side to side

Alternating wide circles - move the rope in a circle position

Jumping jacks

Squat to sholder

Explanation:

The guy above me is correct give him Brainliest

What happens to solar radiation when it is absorbed

Answers

Answer:

Absorbed sunlight is balanced by heat radiated from Earth's surface and atmosphere. ... The atmosphere radiates heat equivalent to 59 percent of incoming sunlight; the surface radiates only 12 percent. In other words, most solar heating happens at the surface, while most radiative cooling happens in the atmosphere

Lex launched a golfball with his lego catapult. It traveled 7 meters and was in the air for 2 seconds. Please determine the object’s maximum height, horizontal velocity, vertical velocity, actual velocity, and time it reached its maximum height. The angle of release (the catapult’s arm) is 40°.


Horizontal Velocity = vx
Vertical Velocity = V1y
Actual Velocity: V1 = Vactual
Time reached highest point
Height reached!= h
Givens:

dx=

a=

t=


Angle of release:



Table B:
What you need to determine
Formula used
Answer: remember to label the correct units
Distance
Measure it with a meter stick


Time Traveled
Measure it with a stopwatch


Horizontal Velocity




Vertical Velocity




Actual Velocity




Time reached Highest Point




What was the object’s highest point

Answers

Answer:

Explanation:

Range R = 7 m

angle of projection θ = 40⁰

u² sin2θ / g = R where u is velocity of throw.

u² sin 80 / g = 7

u² = 69.71

u = 8.35 m/s

horizontal velocity = u cos 40 = 8.35 cos 40

= 6.4 m /s

vertical velocity = u sin 40 = 8.35 sin40

= 5.37 m /s

Maximum height :-

v² = u² - 2gh , u is initial vertical component of throw.

0 = 5.37² - 2 x 9.8 x h

h = 1.47 m

Time to reach max height :--

v = u - gt

o = 5.37 - 9.8 t

t = .55 s

An object swings in a horizontal circle, supported by a 1.8-m string. It swings at a speed of 3 m/s. What is the mass of the object given that the tension in the string is 90 N?

Answers

Answer:

Mass = 18 kg

Explanation:

Formula for force in centripetal motion is;

F = mv²/r

We have;

Mass; m.

Speed; v = 3 m/s

radius; r = 1.8 m

Force; F = 90 N

Thus;

Making m the subject;

m = Fr/v²

m = 90 × 1.8/3²

m = 18 kg

In the legend of William Tell, Tell is forced to shoot an apple from his son's head for failing to show respect to a high official. In our case, let's say Tell stands 8.7 meters from his son while shooting. The speed of the 144-g arrow just before it strikes the apple is 20.4 m/s, and at the time of impact it is traveling horizontally. If the arrow sticks in the apple and the arrow/apple combination strikes the ground 8 m behind the son's feet, how massive was the apple

Answers

Answer:

M = 0.31 kg

Explanation:

This exercise must be done in parts, let's start by finding the speed of the set arrow plus apple, for this we define a system formed by the arrow and the apple, therefore the forces during the collision are internal and the moment is conserved

let's use m for the mass of the arrow with velocity v₁ = 20.4 m / s and M for the mass of the apple

initial instant. Just before the crash

          p₀ = m v₁ + M 0

instant fianl. Right after the crash

          p_f = (m + M) v

          p₀ = p_f

          m v₁ = (m + M) v

          v =[tex]\frac{m}{m+M} \ v_1[/tex]                          (1)

now we can work the arrow plus apple set when it leaves the child's head with horizontal speed and reaches the floor at x = 8 m. We can use kinematics to find the velocity of the set

          x = v t

          y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

when it reaches the ground, its height is y = 0 and as it comes out horizontally, [tex]v_{oy} = 0[/tex]

          0 = h - ½ g t²

          t² = 2h / g

     

For the solution of the exercise, the height of the child must be known, suppose that h = 1 m

            t = [tex]\sqrt{ \frac{ 2 \ 1}{9.8} }[/tex]

            t = 0.452 s

let's find the initial velocity

             v = v / t

             v = 8 / 0.452

             v = 17.7 m / s

From equation 1

              v = m / (m + M) v₁

              m + M = [tex]m \ \frac{v_1}{v}[/tex]

              M = m + m \  \frac{v_1}{v}

we calculate

              M = 0.144 + 0.144  [tex]\frac{20.4}{17.7}[/tex]

              M = 0.31 kg

What is a overly-simplified definition of Einstein's theory of general relativity?​

Answers

Answer:

the laws of physics are the same for all non-accelerating observers

Explanation:

2) How much work is required to pull a sled 15
meters if you use 30N of force?

Answers

2 people

Explanation:

a toy of mass 600 is whirled by a child in a horizontal circle using a string of length 2m with a linear speed of 5 m/s determine the angular velocity of the toy?​

Answers

Explanation:

angular velocity = velocity/radius

= 5/2

= 2.5 rad/s

a toy train is moved towards a magnet that cannot move. what happens to the potential energy in the system of magnets during the movement​

Answers

Answer:

Dakota moves a magnetic toy train toward a magnet that cannot move. What happens to the potential energy in the system of magnets during the movement? The potential energy increases because the train moves against the magnetic force. The potential energy decreases because the train moves against the magnetic force.

I hope this helps you :)

An elevator suspended by a vertical cable is moving downward at a constant speed. The tension in the cable must be A) greater than the weight of the elevator. B) less than the weight of the elevator. C) equal to the weight of the elevator.

Answers

Answer:

(C) because the elevator is not accelerating

Note  F = M a = M g (the resultant force on the elevator is due to gravity)

or  Fup = Fc   the force exerted on the elevator by the cable

and Fdown = Fe    the force exerted on the elevator by gravity

F = M a = Fup - Fdown = zero    resultant force on elevator

5
Select the correct answer.
What is the current in a parallel circuit which has two resistors (17.2 ohms and
22.4 ohms) and a power source of 6.0 volts?
ОА.
0.30 amps
OB.
9.8 amps
OC.
0.61 amps
D.
1.2 amps
Reset
Next

Answers

Answer:

Current in a parallel circuit = 0.61 amps (Approx)

Explanation:

Given:

Voltage V = 6 volt

Two resistors = 17.2 , 22.4 in parallel circuit

Find:

Current in a parallel circuit

Computation:

1/R = 1/r1 + 1 / r2

1/R = 1/17.2 + 1 / 22.4

R = 9.73 ohms (Approx)

Current in a parallel circuit = V / R

Current in a parallel circuit = 6 / 9.73

Current in a parallel circuit = 0.61 amps (Approx)

PLESE HELP !!!!!!!!!
What is the dependent variable of this testable question? How does the temperature of a tennis ball affect the height of its bounce?

Question 2 options:

brand of tennis balls


the age of the tennis ball


temperature of a tennis ball


height of its bounce
ILL GIVE BRANLIEST TO THE CORRECT ONE

Answers

Answer:

Height of its bounce

Explanation:

The dependent variable is always what is being measured or the data collected.

tank contains 335 kg of water at a uniform temperature of 60oC. The tank is insulated and not heated; it neither loses nor gains heat through the walls of the tank. A valve is opened and water exits the tank at a rate of 0.5 kg/sec and a temperature of 60oC. After 10 seconds the valve is closed again . Using the assumption that water at zero degrees centigrade contains zero energy and considering only internal, how much energy left the tank through the valve during this 10 second period; report as kJ.

Answers

Answer:

Explanation:

Thermal energy or internal energy gain or loss = mass x specific heat x temperature  

specific heat of water = 4.2 kJ / kg degree Celsius

mass of water lost in 10 second = rate of loss x time = .5 x 10 = 5 kg .

heat energy associated with lost water = 5 x 4.2 x ( 60 - 0 ) = 1260 kJ .

Heat energy lost = 1260 kJ .

Difference between on pitch and frequency​

Answers

Answer:

 A high pitch sound corresponds to a high frequency sound wave and a low pitch sound corresponds to a low frequency sound wave. I hope I got it correct !!

i need this literally asap

which of these statements are true?
1. it is always correct to use a 3 Amp fuse.
2. Fuses come in several different sizes and values
3. A fuse can be re-set and used again
4. A fuse once ‘blown’ needs replacing
5. Fuses are the ‘weak point’ in a circuit

Answers

Answer:

I only know number 4 is correct

Explanation:

If the net force acting on an object is 0 N, you can be sure that the forces acting on the object are
A. balanced B.Unbalanced C. acting at the same direction

Answers

I think the answer would be A.

After all, it is 0 which is technically a dead center number meaning that the net should be balanced and still.

Hope this helps and have a nice day.

-R3TR0 Z3R0

The following statements are related to the force of a magnetic field on a current-carrying wire. Indicate whether each statement is true or false.
1) The magnetic force on the wire is independent of the direction of the current.
A) True
B) False
2) The force on the wire is directed perpendicular to both the wire and the magnetic field.
A) True
B) False
3) The force takes its largest value when the magnetic field is parallel to the wire.
A) True
B) False

Answers

Answer:

1) B: False

2) A: True

3) B: False

Explanation:

1) Statement is false because the force is not independent of the current but rather depends on the direction of the field and current.

2) Statement is true as per right hand thumb rule.

3) The statement is false because force takes its largest value when the magnetic field direction and electric current direction are perpendicular to each other.

What happens to the energy of a rubber band when it is stretched?

Answers

the potential energy is quickly converted to kinetic energy
you input potential stored energy. the rubber band is an elastic system, this kind of energy is called elastic potential energy. when the rubber band is released and has stopped stretching, then its converted into kinetic energy

Four bicyclists travel different distances and times along a straight path. Which cyclist traveled with the greatest average

speed?

A

B

Cyclist 2 travels

87 min 22 s

Cyclist 4 travels

108 min 24 s

D

Cyclist 1 travels

95 m in 27 s

Cyclist 3 travels

106 m in 26 s

Answers

Answer:

The cyclist with the greatest average speed is Cyclist 4 with average speed of 4.5 m/s

Explanation:

Given;

Cyclist 1 travels 9 m    in    27 s

Cyclist 2 travels 87 m  in    22 s

Cyclist 3 travels 106 m  in   26 s

Cyclist 4 travels 108 m   in   24 s

Determine the average speed of the cyclists as follows;

Average speed of Cyclist 1:    v =  9/27  = 0.33 m/s

Average speed of Cyclist 2:    v = 87/22 = 3.96 m/s

Average speed of Cyclist 3:    v =   106/26 = 4.08 m/s

Average speed of Cyclist 4:     v =   108/24 = 4.5 m/s

Therefore, the cyclist with the greatest average speed is Cyclist 4 with average speed of 4.5 m/s

12. An organ pipe that is 1.75 m long and open at both ends produces sound of

frequency 303 Hz when resonating in its second overtone. What is the speed of

sound in the room?

295 m/s

328 m/s

354 m/s

389 m/s

401 m/s

Answers

Answer:

354 m/s

Explanation:

For the second overtune (Third harmonic) of an open pipe,

λ = 2L/3................................ Equation 1

Where L = Length of the open pipe, λ = Wave length.

Given: L = 1.75 m.

Substitute into equation 1

λ = 2(1.75)/3

λ = 1.17 m.

From the question,

V = λf.......................... Equation 2

V = speed of sound in the room, f = frequency

Given: f = 303 Hz.

Substitute into equation 2

V = 1.17(303)

V = 353.5

V ≈ 354 m/s

Hence the right answer is 354 m/s

what is the quantum and its types?​

Answers

Answer:

It is the physics that explains how everything works, the nature of the particles that make up matter and the forces with which they interact.

Its types: Electromagnetism, the strong nuclear force, and the weak nuclear force.

Hope this help :)

A body having mass 200g id moving with velocity 120m\s. What is its power​

Answers

Answer:

P = 24 watts

Explanation:

Given that,

Mass, m = 200 g = 0.2 kg

Velocity of the body, v = 120 m/s

We need to find the power of the body. The formula for power is given by :

P = Fv

Here, F = W (weight) i.e. mg

So,

P = 0.2 × 120

P = 24 Watts

So, the power of the body is 24 watts.

In 2014, physicists from FOM Foundation at the University of Amsterdam introduced a new hypothesis of how the Pyramids at Giza were built. The group of physicists suggestedthat ancient Egyptians wetted sand in an effort toreduce friction and then pulled the 3000 kg stoneblocks to their final resting place. 15 men couldmove a block at a rate of 0.5m/sby pulling a largerope angled at 30owith respect to the plane anda tension of 7,200 N.

Required:
a. What is net work done on block?
b. What is speed of blck after it moved .25m?
c. What is work done by block if kinetic friction coefficient is 0.3?
d. What is net work including friction?

Answers

Answer:

The correct answer is:

(a) 0

(b) 0.5 m/s

(c) 7740 N

(d) 0

Explanation:

The given values are:

mass,

m = 3000 kg

Tension,

T = 7,200 N

Angle,

= 30°

(a)

Even as the block speed becomes unchanged, the kinetic energy (KE) will adjust as well:

⇒ [tex]\Delta K =0[/tex]

By using the theorem of energy, the net work done will be:

⇒  [tex]\Delta K =0[/tex]

(b)

According to the question, After 0.25 m the block is moving with the constant speed

= 0.5 m/s.

(c)

The given kinetic friction coefficient is:

u = 0.3

The friction force will be:

= [tex]u(mg-Tsin30^{\circ})[/tex]  

On substituting the values, we get,

= [tex]0.3[(3000\times 9.8)-(7200\times 0.5)][/tex]

= [tex]0.3[29400-3600][/tex]

= [tex]0.3\times 25800[/tex]

= [tex]7,740 \ N[/tex]

(d)

On including the friction,

The net work will be:

⇒ [tex]\Delta K=0[/tex]

This is one popular brand of exercise machine for a crossword puzzle

Answers

Answer:

Aerobics I think.

Explanation:

PLEASE HELP!!!! ITS URGENT!!!

Answers

Answer:

dude the answer is upright

We know that there is a relationship between work and mechanical energy change. Whenever work is done upon an object by an external force (or non-conservative force), there will be a change in the total mechanical energy of the object. If only internal forces are doing work then there is no change in the total amount of mechanical energy. The total mechanical energy is said to be conserved. Think of a real-life situation where we make use of this conservation of mechanical energy (where we can neglect external forces for the most part). Describe your example and speak to both the kinetic and potential energy of the motion.

Answers

Answer:

* roller skates and ice skates.

* roller coaster

Explanation:

One of the best examples for this situation is when we are skating, in the initial part we must create work with a force, it compensates to move, after this the external force stops working and we continue movements with kinetic energy, if there are some ramps, we can going up, where the kinetic energy is transformed into potential energy and when going down again it is transformed into kinetic energy. This is true for both roller skates and ice skates.

Another example is the roller coaster, in this case the motor creates work to increase the energy of the car by raising it, when it reaches the top the motor is disconnected, and all the movement is carried out with changes in kinetic and potential energy. In the upper part the energy is almost all potential, it only has the kinetic energy necessary to continue the movement and in the lower part it is all kinetic; At the end of the tour, the brakes are applied that bring about the non-conservative forces that decrease the mechanical energy, transforming it into heat.

Peron Company uses a perpetual inventory system and the net method of recording invoices. The company purchased merchandise on November 4 at a $2,000 invoice price with terms of 2/10, n/30.

Answers

Answer: See explanation

Explanation:

From the information given in the question, the journal entry is written below:

Debit: Merchandise inventory 1960

Credit: Account payable 1960

(To record purchase)

Note that 1960 was gotten as:

= 2000 × 98%

= 2000 × 0.98

= 1960

Note that 2% discount was given.

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Which of these is a trinomial?O A. 5xyO B. x + 2y^2 - 7OO c. -C. 2x^3 - 7y^3O D. 2x - 7 Match the base to the corresponding height.Base (b)Height (h)b.bhhb Dave was starving for food. How was he also "starving" for love?Explain and give examples. Do you agree with the articles assessment that bedbugs are parasites? Explain your reasoning using what youve learned about parasitic relationships.article: When bed bugs suddenly made a comeback in recent years, biologists were just as surprised as everyone else. Few had studied the bugs because there seemed no need to do so. But as bed bugs became ever harder to kill, scientists began probing hard to find their weaknesses. To do that, they invited some of the bugs to stay in the lab. There, researchers could observe them closely. But to be good hosts, the scientists had to keep their bugs healthy and well-fed. And that has required learning how to deliver these critters the blood on which they thrive. which point on the diagram best represents the positions of the Earth and the Sun when it issummer in North America? I need helpss for the problem The temperature fell 4 degrees in the last hour. Now it is 21 degrees. What was the temperature 1 hour ago? List 3 of your characteristics that are caused by your genetic information Typically, your percent yield is ______ than 100% because ___________________________. At equilibrium,a. the forward reaction rate is equal to the reverse reaction rate.b. the forward reaction rate is higher than the reverse reaction rate.c. no reactions take place.d. the forward reaction rate is lower than the reverse reaction rate. Ex 2,3, pleeeeeeeease Learning what motivates residents helps you avoid unpleasant behavior and difficult caregiving What is the pear-shaped pad of tissue behind the maxillary incisors? how can a natural disaster evolution of a species. What are Napoleon's ideas about education? If there are 180 students in the girls athletics program, thenhow many students participated in soccer? Which BEST completes the sentence?Many people________the dance this weekend.were attendsB.will attendwas attendDis attending Can someone help me with this question? What is the area of the rectangle above? A. 14 square units B. 28 square units C. 44 square units D. 33 square units What is the correct collective noun for the sentence.The _____ of cats play the thorn and yarn.a. litterb. flockc. fleet