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Worksheet: Angular Momentum

Q1:

A mountain bike is travelling at 10 m/s when it jumps, and the wheels lose contact with the ground. The mass of the bike’s front wheel is 750 g and wheel’s radius is 35 cm. What is the angular momentum of the spinning wheel in the air at the moment that the bike leaves the ground?

Q2:

An airplane of mass kg flies horizontally at an altitude of 10 km with a constant speed of 250 m/s relative to Earth. What is the magnitude of the airplane’s angular momentum relative to a ground observer directly below the plane?

  • A kg⋅m2/s
  • B kg⋅m2/s
  • C kg⋅m2/s
  • D kg⋅m2/s
  • E kg⋅m2/s

Q3:

A bird of mass 2.0 kg is in flight parallel to the ground. The bird is 300.0 m vertically above an observer and moving at 20.0 m/s. What is the bird’s angular momentum relative to the observer?

  • A kg⋅m2/s
  • B kg⋅m2/s
  • C kg⋅m2/s
  • D kg⋅m2/s
  • E kg⋅m2/s

Q4:

A particle of mass 5.0 kg has position vector at a particular instant of time, . At the instant , the velocity of the particle with respect to the origin is .

What is the angular momentum of the particle at the instant ?

  • A
  • B
  • C
  • D
  • E

If a force acts on the particle at the instant , what is the torque about the origin at that instant?

  • A
  • B
  • C
  • D
  • E

Q5:

The blades of a wind turbine are cm in length and rotate at a maximum rotation rate of 0.333 rev/s. Each blade has a mass of kg, and a rotor assembly consists of three blades.

What is the magnitude of the angular momentum of the rotor assembly at its maximum rotation rate?

  • A kg.m2/s
  • B kg.m2/s
  • C kg.m2/s
  • D kg.m2/s
  • E kg.m2/s

What magnitude of torque is required to accelerate the rotor assembly from rest to its maximum rotation rate in a time of s?

  • A kg.m2/s
  • B kg.m2/s
  • C kg.m2/s
  • D kg.m2/s
  • E kg.m2/s