A wheel of mass 50 kg has a radius of 0.4 m. It is making 480 rpm. What is the
torque necessary to bring it to rest in 40 seconds?
Solution:

Answers

Answer 1

Answer:

The torque necessary to bring the wheel to rest in 40 seconds is 10.4 N·m

Explanation:

The question is with regards to rotational motion

The rotary motion parameters are;

The mass of the wheel = 50 kg

The radius of the wheel = 0.4 m

The rate of rotation of the wheel = 480 rpm

The time in which the wheel is to be brought to rest = 40 s

The rotational rate of the wheel in rotation per second is given as follows;

480 r.p.m = 480 r.p.m × 1 minute/(60 seconds) = 8 revolution/second

1 revolution = 2·π radians

Therefore, we have the angular velocity, ω, given as follows;

ω = 2·π × 8 revolutions/second ≈ 50.3 rad/s

The angular acceleration, α, is given as follows;

[tex]\alpha = \dfrac{\Delta \omega}{\Delta t} = \dfrac{\omega _2 - \omega_1}{t_2 - t_1}[/tex]

Whereby the wheel is brought to rest from its initially constant rotational motion in 40 seconds, we have;

ω₁ ≈ 50.3 rad/s, ω₂ = 0 rad/s, and t₂ - t₁ = 40 seconds

Plugging in the values for the variables of the equation for the angular acceleration, "α", we get;

[tex]\alpha = \dfrac{0 - 50.3 \ rad/s}{40 \ s} \approx 1.3 \ rad/s^2[/tex]

The torque on the wheel, τ, is given as follows;

τ = m·r²·α

Where;

m = The mass of the object = 50 kg

r = The radius of the wheel = 0.4 m

α = The acceleration of the wheel ≈ 1.3 rad/s²

Therefore;

τ = 50 kg × (0.4 m)² × 1.3 rad/s² ≈ 10.4 N·m

The torque necessary to bring the wheel to rest in 40 seconds = τ ≈ 10.4 N·m.

Answer 2

Answer:

-10.048 N m

Explanation:


Related Questions

800 joules of work were done with a force of 200 newtons. Over what
distance was the force applied?

20 m

40 m

4 m

2 m

Answers

Answer:

4m

Explanation:

800/200


1. What happens to the orbit of the planet if the mass of the sun changes?

Answers

Answer:

If the sun's mass were to double without pushing or pulling on the Earth, then the Earth's orbit will change to an ellipse which brings it out to our current radius but spends most of its time closer to the sun. The tides would probably get even stronger then, particularly when our orbit takes us closer to the sun.

Explanation:

Hi!! Does anyone know the answer!! :D

Answers

Answer:

C. Contour Farming

Answer C . contour farming

What does an electromaget do

Answers

Answer:

An electromagnet is a magnet that runs on electricity. Unlike a permanent magnet, the strength of an electromagnet can easily be changed by changing the amount of electric current that flows through it. The poles of an electromagnet can even be reversed by reversing the flow of electricity.

what is a recovery heart rate?​

Answers

Answer:Recovery heart rate is simply your pulse rate after exercise. Some fitness specialists refer to it as the post-exercise heart rate. The pulse number is used for different reasons in different settings.

Explanation:

Answer:

Heart rate is the speed of the heartbeat measured by the number of contractions of the heart per minute.

Explanation:

The middle one please need done in 45min

Answers

Answer:

600 J

Explanation:

it's obviously btw so yeahhhh

Polar dissolves
A. nonpolar
B. polar
C. all molecules
D. none of the above

Answers

Polar substances are likely to dissolve in polar solvents.

Your answer is B.

Four velcro-lined air-hockey disks collide with each other in a perfectly
inelastic collision. The first disk has a mass of 50.0 g and a velocity of
0.80 m/s to the west, the second disk has a mass of 60.0 g and a velocity of
2.50 m/s to the north, the third disk has a mass of 100.0 g and a velocity of
0.20 m/s to the east, and the fourth disk has a mass of 40.0 g and a
velocity of 0.50 m/s to the south. What is the final velocity of the disks
after the collision?

Answers

Answer:

The magnitude of the final velocity is approximately 0.526 m/s in approximately the direction of 8.746° East of South

Explanation:

The given collision parameters are;

The kind of collision experienced by the four velcro-lined air-hockey disk = Inelastic collision

The mass of the first disk, m₁ = 50.0 g

The velocity of the first disk, v₁ = 0.80 m/s West = -0.8·i

The mass of the second disk, m₂ = 60.0 g

The velocity of the second disk, v₂ = 2.50 m/s North = 2.5·j

The mass of the third disk, m₃ = 100.0 g

The velocity of the third disk, v₃ = 0.20 m/s East = 0.20·i

The mass of the fourth disk, m₄ = 40.0 g

The velocity of the fourth disk, v₄ = 0.50 m/s South = -0.50·j

Therefore, the total initial momentum of the four velcro-lined air-hockey disk, [tex]\Sigma P_{initial}[/tex] is given as follows;

[tex]\Sigma P_{initial}[/tex] = m₁·v₁ + m₂·v₂ + m₃·v₃ + m₄·v₄ = 50.0×(-0.80·i) + 60.0×(2.50·j) + 100 × (0.20·i) + 40.0 × (-0.50·j)

∴ [tex]\Sigma P_{initial}[/tex] = -40·i + 150·j + 20·i - 20·j = -20·i + 130·j

∴ [tex]\Sigma P_{initial}[/tex] = -20·i + 130·j

By the law of conservation of linear momentum, we have;

[tex]\Sigma P_{initial} = \Sigma P _{final}[/tex] = -20·i + 130·j

Therefore, given that the collision is perfectly inelastic, the disks move as one after the collision and the four masses are added to form one mass, "m", m = m₁ + m₂ + m₃ + m₄ = 50.0 + 60.0 + 100.0 + 40.0 = 250.0

∴ m = 250.0 g

Let, "v" represent the final velocity of the four disks moving as one after the collision

We have;

[tex]\Sigma P _{final}[/tex] = m × v = 250.0 × v = -20·i + 130·j

∴ v = -20·i/250 + 130·j/250 = -0.08·i + 0.52·j

The final velocity of the four disks after collision, v = -0.08·i + 0.52·j

The magnitude of the final velocity, [tex]\left | v \right |[/tex] = √((-0.08)² + (0.52)²) ≈ 0.526

[tex]\left | v \right |[/tex] ≈ 0.526 m/s

The direction of the final velocity, θ = arctan(0.52/(-0.08)) ≈ -81.254°

The direction of the final velocity, θ ≈ -81.254° which is 8.746° East of South

What is radiation? Explain in your own words.

Answers

Answer:

An energy source in which we use to power most powerplants and reactors.

Explanation:

This website explains: https://study.com/academy/lesson/what-is-radiation-lesson-for-kids-definition-examples.html

What led astronomers to believe in the existence of dark matter?

A. the fact that space is black
B. the big bang theory
C. the apparent effects of the gravity of unseen matter on visible objects
D. the existence of black holes

Answers

it’s either C or D. let me know but I would do C!

When the Sun is directly overhead, a
hawk dives toward the ground at a speed of
3.31 m/s.
If the direction of his motion is at an angle
of 35° below the horizontal, calculate the
speed of his shadow along the ground.
Answer in units of m/s.

Answers

Answer:

2.71 m/s

Explanation:

Apply the formula for cosine of an angle where;

The hypotenuse is the speed the hawk dives towards the ground : 3.31 m/s

The angle of direction of motion from the horizontal is : 35°

Speed of the shadow along the ground will be, A ;

Cosine 35° = A / 3.31

A= 3.31 cosine 35°

A= 2.71 m/s

How would I solve this? It's Newton's 2nd law

Answers

Answer:

5.65 m/s²

Explanation:

We'll begin by calculating the mass of PJ when in San Diego (i.e Earth). This can be obtained as follow:

Weight of PJ on Earth (Wₑ) = 545 N

Acceleration due to gravity (g) on Earth (gₑ) = 10 m/s²

Mass of PJ on Earth (mₑ) =.?

Wₑ = mₑ × gₑ

545 = mₑ × 10

Divide both side by 10

mₑ = 545 / 10

mₑ = 54.5 Kg

Thus, the mass of PJ on San Diego (i.e Earth) is 54.5 Kg

Finally, we shall determine the acceleration due to gravity of planet Koja. This can be obtained as follow:

Weight of PJ on Koja (Wₖ) = 308 N

Mass of PJ on Koja (mₖ) = mass of PJ on Earth (mₑ) because mass is constant irrespective of location.

Mass of PJ on Earth (mₑ) = 54.5 Kg

Mass of PJ on Koja (mₖ) = 54.5 Kg

Acceleration due to gravity of on Koja (gₖ) =?

Wₖ = mₖ × gₖ

308 = 54.5 × gₖ

Divide both side by 54.5

gₖ = 308 / 54.5

gₖ = 5.65 m/s²

Thus, the acceleration due to gravity on planet Koja is 5.65 m/s²

Who was the most famous member of the Underground Railroad?

Answers

Answer:

Harriet Tubman

Explanation:

Answer:

Harriet Tubman

Explanation:

She was an abolitionist and fought for women's rights.

Harriet was also the first woman to lead a combat assault.

what 5+1234567890987654345632675432

Answers

= 1234567890987654345632675437

what should be angle between force and displacement to get the maximum work​

Answers

Answer: The angle between force and displacement should be θ = 90° for minimum work. The angle between force and displacement should be θ = 0° for maximum work.

can someone please help me it’s 15 points of my major grade..

Answers

a.

b.

c.

e.

f.

g.

character limit thing

Putting the ball back into play by the offense is called a ____ ____

Answers

Answer:

Hand ball ?

Explanation:

320 joules of work were done by a force of 80 newtons. Over what
distance was the force applied?

44m

80m

4m

40m

Answers

Answer:

[tex]4\:\mathrm{m}[/tex]

Explanation:

The formula for work is given as [tex]W=F\Delta x[/tex] where [tex]F[/tex] is force applied and [tex]\Delta x[/tex] is displacement.

Rearranging this equation, we have:

[tex]\Delta x=\frac{W}{F}[/tex].

Plugging in given values, we get:

[tex]\Delta x=\frac{W}{F}=\frac{320}{80}=\fbox{$4\:\mathrm{m}$}[/tex].

Answer:

The answer is 4m

Explanation:

hope this helps!

If the boy travelled 2 meters to the right and 4 meters to the left what is the total distance that he travelled?


4 m


-4 m


6 m


2 m

Answers

Answer:

6m

Explanation:

2+4=6

if i am not mistaken i think i would say 6 meters

How is Heat Transfer different from Thermal Energy Transfer

Answers

Answer:

ExplaHeat can travel from one place to another in three ways: Conduction, Convection and Radiation. ... Thermal energy is transferred from hot places to cold places by convection. Convection occurs when warmer areas of a liquid or gas rise to cooler areas in the liquid or gas.nation:

I WANT TO PLAY UNDERTALE PLS HELP 100 PTS SINENCE

Answers

Answer:

Use IGG Games or get money.

Explanation:

Answer:

Go to Undertale.com and buy it

Explanation:

sorry i don't really know how to answer this

plz help asap
Which of the following techniques would be used to treat a disease based on the humoral theory?


perform a surgery

administer an enema

prescribe an antibiotic

administer a vaccine

The theory of plate tectonics explains the cause of which natural occurrence?


avalanches

floods

earthquakes

eruptions

Answers

Answer:

Given the body part: They would administer a vaccine Plate tectonics: It describes earthquakes

Gamma radiation is composed of neutrons and protons.
A. True
B. False

Answers

Answer:

false

Explanation:

Answer:

The answer is B false

Explanation:

Gamma radiation is not composed of both neutrons and protons.

Metals are good conductors of heat because .

Answers

Answer:

They have the highest melting point so that mean that the temperature and the are a conductive to electricity.

Explanation:

If the magnification produced by a lens has a negative value, the image will be
A) virtual and inverted
B) virtual and erect
C) real and erect
D) real and inverted

Answers

Answer:

I think it's B, not quite sure tho.

I believe the answer is A. Virtual and inverted.


Which image illustrates the bouncing of a light wave off of a surface?
A
B
с
D
A. A
B. B
C. C

Answers

Answer:

The answer is A good luck :P

Answer:

A

Explanation:

The light Bounces off because it is reflecting off glass or anything else

The density of a substance is 879.26 g/mL. What is the volume of 48 g of the substance?​

Answers

What is the volume of 48g

Question 1 of 10
Which option is a potential environmental benefit of adopting a new
technology?
A. Expanded customer base
B. Improved product quality
C. Higher numbers of sales
D. Reduced emission of pollutants
SUBMIT

Answers

Answer:

Its obviously number D

Explanation:

When it comes to environmental benefit, Reducing emission of pollutants does the best job.

Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.

What are pollutants?

The elements, molecules, and particles that contribute to pollution are known as pollutants; life can be injured by exposure to these substances, and their impacts on people and plants are widely documented.

There are several ways that pollutants can enter the environment, both naturally and through human activity.

Depending on the type of pollution, what happens to it once it is released into the air, soil, or water supply.

Therefore, Reduced emission of pollutants is a potential environmental benefit of adopting a new technology.

To learn more about pollutants, refer to the link:

https://brainly.com/question/28519286

#SPJ2

5
Select the correct answer.
Which statement best explains the relationship between electric force and the charges on two interacting objects?
СА.
Electrical force is directly proportional to the product of the charges on the two objects.
B.
Electrical force is inversely proportional to the product of the charges on the two objects.
Electrical force is inversely proportional to the product of the squares of the charges on the two objects.
D. Electrical force is directly proportional to the product of the squares of the charges on the two objects.

Answers

Answer:

Electrical force is directly proportional to the product of the charges on the two objects.

Explanation:

The electric force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]

Where

k is electrostatic constant

q₁ and q₂ are charges

d is the distance between charges

It can be very clear that the electric force is directly proportional to the product of charges and inversely proportional to the square of the distance between them.

Hence, the correct option is (a) "Electrical force is directly proportional to the product of the charges on the two objects".

How are CD's recorded?
Using digital technology
using analog technology

Answers

I think analog but I could be wrong

Answer:

its digital technology

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