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?
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 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 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 ?
If a force acts on the particle at the instant , what is the torque about the origin at that instant?
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?
What magnitude of torque is required to accelerate the rotor assembly from rest to its maximum rotation rate in a time of s?