All categories

2 years ago

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

I only need the answer to #21

Oksanka [162]

X-axis=time
y-axis=distance (position)

slope=y-axis / x-axis=distance / time=velocity.

answer: d) slope

6 0

3 years ago

Measuring the amount of deuterium in the universe allows us to set a limit on _________.

Mademuasel [1]

Answer:

the density of ordinary (baryonic) matter in the universe

Explanation:

Deuterium detection is of interest because the amount of it may be related to the amount of dark matter in the universe, but precise measurements have been difficult to obtain. Due to the way in which deuterium was created in the Big Bang, an exact measurement of the amount of deuterium would allow scientists to set limits on the models of the great explosion.

Also, an exact measure of deuterium would be an indicator of the cosmic density of barions (ordinary matter), and that density of barions would indicate whether ordinary matter is dark and is found in regions such as black holes, gas clouds or brown dwarfs, or it is bright and can be found in the stars. This information will help scientists who try to understand the very beginning of our universe.

4 0

3 years ago

Leo la conclusión e identificó dos situaciones que causan que una lengua desaparezca buscó otra situación que también incide al

Novosadov [1.4K]

Answer:

yes smh

Explanation:

4 0

3 years ago

A spring is stretched to a displacement of 3.4 m from equilibrium. Then the spring is released and allowed to recoil to a displa

Stells [14]

Answer to A spring is stretched to a displacement of 3.4 m from equilibrium. Then the spring isreleased and ... Then the spring is released and allowed to recoil to a displacement of 1.9 m fromequilibrium. The spring constant is 11 N/m. What best describes the work involved as the spring recoils? A)87 J of work is performed ...

5 0

3 years ago

A rocket starting from its launch pad is subjected to a uniform acceleration of 100 meters/second2. Determine the time needed to

gizmo_the_mogwai [7]

Answer:

10s

Explanation:

Acceleration is a measure of a rate of change of velocity, or in other words, a measure of how quickly the velocity is changing.

If acceleration is constant, then the velocity is changing by a constant amount.

With an acceleration of 100 m/s^2, starting from the launching pad (and thus, an initial velocity of zero), we can calculate how long it will take to reach a final velocity of 1000m/s with the following formula:

$v=at+v_o$ where "v" is the final velocity at some later time "t", "a" is the constant acceleration, and "v" sub-zero is the initial velocity.