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?

  • Akg⋅m2/s2
  • Bkg⋅m2⋅s
  • Ckg⋅m2/s
  • Dkg2⋅m2/s
  • Ekg⋅m/s

Q2:

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

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

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⋅m2/s. What is the mass of the object?

Q4:

The SI unit of angular momentum is kilogram meters squared per second (kg⋅m2/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?

  • As/m
  • Bm2
  • C1/m
  • Dm/s
  • Em

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⋅m2/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⋅m2/s). If angular momentum is divided by a length, what will the SI unit of the resultant quantity be?

  • Akg⋅m3/s
  • Bkg/m⋅s
  • Ckg⋅m/s2
  • Dkg⋅m/s
  • Ekg⋅m2/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 7.36×10 kg⋅m2/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⋅m2/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 𝐴 or point 𝐵. 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 𝑦-direction.

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

If the circular path were centered on point 𝐴, 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 𝑦-direction. What is the magnitude of the angular momentum of the object around point 𝑃 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 2.73×10 kg⋅m/s and an angular momentum of 1.18×10 kg⋅m2/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 𝑃. 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 𝑦-direction. What is the magnitude of the angular momentum of the object around point 𝑃 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⋅m2/s. What is the magnitude of the linear momentum of the coin?

Q17:

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 𝐴 or point 𝐵. The object has a mass of 9.0 kg and, at the instant of the snapshot, has a linear velocity of 4.8 m/s in the positive 𝑥-direction.

If the circular path were centered on point 𝐴, what would the magnitude of the angular momentum of the object be? Give your answer to 2 significant figures.

If the circular path were centered on point 𝐵, what would the magnitude of the angular momentum of the object be? Give your answer to 2 significant figures.

Q18:

The Moon has a mass of 7.34×10 kg. It orbits Earth at a distance of 384,000 km and has a linear speed of 1.02 km/s. What is the magnitude of the angular momentum of the Moon? Give your answer to 3 significant figures.

  • A2.87×10 kg⋅m2/s
  • B2.87×10 kg⋅m2/s
  • C2.87×10 kg⋅m2/s
  • D2.87×10 kg⋅m2/s
  • E2.87×10 kg⋅m2/s

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.