# Worksheet: Angular Momentum in Terms of Moment of Inertia

In this worksheet, we will practice calculating the angular momentum of an object that is rotating from its moment of inertia.

**Q1: **

If the angular speed of a rotating object increases by a factor of 3, by what factor does the angular momentum of the object change?

**Q2: **

An object spinning with an angular speed of rad/s has an angular momentum of
kg⋅m^{2}/s.
What is the moment of inertia of the object about its axis of rotation?

**Q3: **

A hollow metal sphere has a moment of inertia about its axis of rotation of
0.45 kg⋅m^{2} and an angular momentum of
0.79 kg⋅m^{2}/s.
How long does it take for the sphere to make one full rotation?
Give your answer to 2 significant figures.

**Q4: **

The wheel of a car has a moment of inertia of
2.25 kg⋅m^{2}
about its axis of rotation. As the car is driven along a road,
the wheel has an angular momentum of
70.7 kg⋅m^{2}/s.
With what angular speed is the wheel rotating?

**Q5: **

An asteroid has a moment of inertia about its axis of rotation of
kg⋅m^{2}.
The asteroid makes one full rotation every
250 s.
What is the angular momentum of the asteroid? Give your answer to 2 significant figures.

- A
kg⋅m
^{2}/s - B
kg⋅m
^{2}/s - C
kg⋅m
^{2}/s - D
kg⋅m
^{2}/s - E
kg⋅m
^{2}/s

**Q6: **

A solid metal sphere is rotating with an angular speed of
12.6 rad/s.
It has a moment of inertia of
0.0200 kg⋅m^{2}.
What is the angular momentum of the sphere?

**Q7: **

The wheel of a car has a moment of inertia of
2.25 kg⋅m^{2}
about its axis of rotation.
If the wheel makes 8 turns in one second,
what is the angular momentum of the wheel? Give your answer to 3 significant figures.

**Q8: **

A solid metal disk has a moment of inertia of 0.025 kg⋅m^{2}
about its axis of rotation and has an angular momentum of 14 kg⋅m^{2}/s.
With what angular speed is the disk rotating?

**Q9: **

An object has a moment of inertia of
0.50 kg⋅m^{2}
about its axis of rotation and an angular momentum of
130 kg⋅m^{2}/s.
How many times does the object rotate in 1 second? Give your answer to 2
significant figures.

- A
10 s
^{−1} - B
65 s
^{−1} - C
41 s
^{−1} - D
1,600 s
^{−1} - E
260 s
^{−1}

**Q10: **

A stick being spun about its center has an angular momentum of 0.320 kg⋅m^{2}/s.
The stick is being spun at an angular speed of 25.1 rad/s.
What is the moment of inertia of the stick about its axis of rotation?

**Q11: **

Earth has a moment of inertia about its axis of rotation of
kg⋅m^{2}
and an angular speed of
rad/s.
What is the angular momentum of Earth due to its rotation?

- A
kg⋅m
^{2}/s - B
kg⋅m
^{2}/s - C
kg⋅m
^{2}/s - D
kg⋅m
^{2}/s - E
kg⋅m
^{2}/s