1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Musya8 [376]
2 years ago
9

A solid cylinder with diameter 20cm has an angular velocity of 10m/s and angular momentum of 2kgm^2/s. What is its mass?

Physics
1 answer:
Sati [7]2 years ago
4 0

Hi there!

Recall the equation for angular momentum:
L = I\omega

L = Angular momentum (kgm²/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/s)

We know that the Moment of Inertia of a solid cylinder is equivalent to:
I = \frac{1}{2}MR^2

M = mass (kg)
R = radius (m)

Plug in the givens to solve for the moment of inertia. Remember to divide the diameter by 2 for the radius, and to convert to meters.

r = \frac{d}{2} = 20/2 = 10 cm \\\\10 cm = 0.1 m

I = \frac{1}{2}M(0.1^2) = 0.005 M

We can rearrange the equation of angular momentum to solve for mass.

L = 0.005M * \omega\\\\\frac{L}{0.005 \omega} = M \\\\M = \frac{2}{0.005(10)} = \boxed{ 40 kg}

You might be interested in
5. You're examining some of the tiny printing on one of the newer twenty-dollar bills. A 1.5 mm tall letter appears 3 mm tall an
kow [346]

Answer:

80mm or 8cm

Explanation:

According to the lens formula,

1/f = 1/u+1/v

If the object distance u = 4cm = 40mm

Object height = 1.5mm

Image height = 3mm

First, we need to get the image distance (v) using the magnification formula Magnification = image distance/object distance = Image height/object height

v/40=3/1.5

1.5v = 120

v = 120/1.5

v = 80mm

The image distance is 80mm

To get the focal length, we will substitute the image distance and the object distance in the mirror formula to have;

1/f = 1/40+1/-80

Note that the image formed by the lens is an upright image (virtual), therefore the image distance will be negative.

Also the focal length of the converging lens is positive. Our formula will become;

1/f = 1/40-1/80

1/f = 2-1/80

1/f = 1/80

f = 80mm

The focal length of the lens 80mm or 8cm

5 0
4 years ago
Read 2 more answers
A dog barks to alert his owner. What is the medium for the sound waves produced by the dog barking?
777dan777 [17]

Answer:

The medium for the sound waves produced by the dog barking is the air

Explanation:

Sound waves are a form of mechanical waves such that it moves from one point to another by the vibration, back and forth of the medium particles from one layer to the next, thereby the particles of the medium remain in the same location and only the wave energy is propagated

The medium which has particles that vibrate back and forth in order to transmit the barking of the dog is the air.

6 0
3 years ago
1) A person slides a box down a ramp. The box starts from rest 2m above the lowest
wel

Answer:

.98m

Explanation:

6 0
3 years ago
What causes the marks on the moons surface?
Dovator [93]

Mountains, valleys, plains, piles of rocks, and craters do.

4 0
3 years ago
Read 2 more answers
Which of the following represents a system that is completely open
Softa [21]
The boiling pot of water is completely open 
4 0
3 years ago
Read 2 more answers
Other questions:
  • Is glass weigh more than wood
    10·2 answers
  • If element x has 94 protons how many electrons does it have​
    13·2 answers
  • Suppose a skydiver (mass = 80kg) is falling toward the Earth. Calculate the skydiver’s gravitational potential energy at a point
    12·2 answers
  • NEED THIS NOW PLZ!!!
    11·1 answer
  • What tools enable people to connect and exchange ideas
    14·1 answer
  • When a car burns fuel what bestv<br> describes what happened to the energy
    13·1 answer
  • Example of moving properly for a push-up?
    15·1 answer
  • A steel ball is dropped onto a thick piece of foam. The ball is released 2.5 meters above the foam. The foam compresses 3.0 cm a
    12·1 answer
  • What are the two forces that oppose each other while a star?
    7·1 answer
  • Which material would you expect to have greater resistance, plastic or silver? Explain your answer.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!