Lesson Worksheet: Angular Momentum in Terms of Linear Momentum Physics

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. 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?

Q4:

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? Give your answer to the nearest kilogram.

Q5:

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

Q6:

A brick is swung around in a circle on the end of a rope. The brick has a linear momentum of 3 kg⋅m/s, and the rope is 2 m long. What is the magnitude of the angular momentum of the brick?

Q7:

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?

Q8:

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?

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:

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

This lesson includes 8 additional questions for subscribers.

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