# A cylinder has inner and outer radii of #8 cm# and #16 cm#, respectively, and a mass of #6 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #2 Hz# to #7 Hz#, by how much does its angular momentum change?

Finding the moment of inertia for a thick-walled cylinder rotating along an axis through its center is the difficult part of this problem.

Now, remember that the angular momentum is defined as the product of the angular momentum (in radians/s) and its moment of inertia.

(I hope it's okay that I waited until the very last line to add the units; I was afraid they would look messy.)

By signing up, you agree to our Terms of Service and Privacy Policy

The change in angular momentum is (1.63 \times 10^{-24}) kg m²/s.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- An object with a mass of # 3 kg# is traveling in a circular path of a radius of #3 m#. If the object's angular velocity changes from # 4 Hz# to # 7 Hz# in # 8 s#, what torque was applied to the object?
- A solid disk with a radius of #6 m# and mass of #8 kg# is rotating on a frictionless surface. If #18 W# of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at #6 Hz#?
- A solid disk with a radius of #9 m# and mass of #8 kg# is rotating on a frictionless surface. If #640 W# of power is used to increase the disk's rate of rotation, what torque is applied when the disk is rotating at #15 Hz#?
- A solid disk, spinning counter-clockwise, has a mass of #12 kg# and a radius of #6 m#. If a point on the edge of the disk is moving at #15 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
- A cylinder has inner and outer radii of #8 cm# and #16 cm#, respectively, and a mass of #6 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #9 Hz# to #3 Hz#, by how much does its angular momentum change?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7