# Worksheet: Angular Momentum in Terms of Linear Momentum

In this worksheet, we will practice calculating the angular momentum of an object that is moving along a circular path from its instantaneous linear momentum.

**Q1: **

Which of the following is the correct unit of angular momentum?

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

**Q2: **

The figure shows an object with a mass and an instantaneous linear velocity . At which of the labeled points would the angular momentum of the object be greatest?

- APoint B
- BPoint C
- CPoint E
- DPoint A
- EPoint D

**Q3: **

An object moves along a circular path with a radius of 12 m.
The object has a tangential speed of 4.4 m/s
and an angular momentum of 475.2 kg⋅m^{2}/s.
What is the mass of the object?

**Q4: **

The SI unit of angular momentum is kilogram meters squared
per second (kg⋅m^{2}/s). The SI unit
of linear momentum is kilogram-meter per second (kg⋅m/s).
If angular momentum is divided by linear
momentum, what will the SI units of the resultant quantity be?

- A s/m
- B m/s
- C1/m
- D
m
^{2} - E m

**Q5: **

An object moves along a circular path. The object has a linear momentum of 12 kg⋅m/s
and an angular momentum of 57.6 kg⋅m^{2}/s. What is the radius of the object’s circular path?

**Q6: **

The SI unit of angular momentum is kilogram meters squared per second (kg⋅m^{2}/s).
If angular momentum is divided by a length,
what will the SI unit of the resultant quantity be?

- A
kg⋅m
^{3}/s - B kg⋅m/s
- C kg/m⋅s
- D
kg⋅m/s
^{2} - E
kg⋅m
^{2}/s

**Q7: **

A brick is swung around in a circle on the end of a rope. The brick has a linear momentum of 3.0 kg⋅m/s, and the rope is 2.0 m long. What is the magnitude of the angular momentum of the brick?

**Q8: **

A 2.0 kg cast iron weight is swung around in a circle at 1.5 m/s on the end of a rope. The rope has a length of 1.2 m. What is the magnitude of the angular momentum of the iron weight?

**Q9: **

A car is being driven around a circular road. The car has a mass of 2,300 kg,
and the road has a radius of 40 m.
If the car has an angular momentum of kg⋅m^{2}/s, what is its tangential speed?

**Q10: **

An object moves along a circular path.
The object has a mass of 15 kg,
a linear speed of 2.0 m/s,
and an angular momentum of 84 kg⋅m^{2}/s.
What is the radius of the object’s circular path?

**Q11: **

The figure shows a snapshot in time of an object moving along a circular path. The circular path is not shown, but it may be centered on point or point . The object has a mass of 5.0 kg and, at the instant of the snapshot, has a linear velocity of 2.0 m/s in the positive -direction.

If the circular path were centered on point , what would the magnitude of the angular momentum of the object be?

If the circular path were centered on point , what would the magnitude of the angular momentum of the object be?

**Q12: **

The figure shows an object with a mass of 1.2 kg. At the instant shown, the object has a linear velocity of 3.0 m/s in the positive -direction. What is the magnitude of the angular momentum of the object around point at the instant shown? Give your answer to 4 significant figures.

**Q13: **

An electron is moving along a circular path in a magnetic field.
The electron has a linear momentum of
kg⋅m/s
and an angular momentum of
kg⋅m^{2}/s.
What is the radius of the electron’s path? Give your answer to 3 significant figures.

**Q14: **

The figure shows an object moving along a circular path around a point . What is the magnitude of the angular momentum of the object?

**Q15: **

The figure shows an object with a mass of 2.0 kg. At the instant shown, the object has a linear velocity of 1.4 m/s in the positive -direction. What is the magnitude of the angular momentum of the object around point at the instant shown?

**Q16: **

A coin in a washing machine is pressed up against the side of the drum as the drum spins very fast.
The coin is moving along a circular path with a radius of
20 cm
and has an angular momentum of
0.030 kg⋅m^{2}/s.
What is the magnitude of the linear momentum of the coin?