# A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rotation?

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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.

- Four wheels of different radii are connected with pulleys as shown below. Wheels 2 and 3 have a common axle. If the angular velocity of Wheel 2 is 2 revolutions per second, what is the angular velocity of Wheel 4?
- A cylinder has inner and outer radii of #9 cm# and #16 cm#, respectively, and a mass of #4 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #12 Hz# to #18 Hz#, by how much does its angular momentum change?
- An object with a mass of # 3 kg# is traveling in a circular path of a radius of #7 m#. If the object's angular velocity changes from # 6 Hz# to # 9 Hz# in #3 s#, what torque was applied to the object?
- A solid disk, spinning counter-clockwise, has a mass of #5 kg# and a radius of #2 m#. If a point on the edge of the disk is moving at #8 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 #3 cm# and #9 cm#, respectively, and a mass of #4 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?

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