A 2m radius wheel with spokes, rotating at 100 rad/s, slows down to rotational velocity of 82 rad/s in 10s. (a) Find the rotational acceleration of the rotor. (b) Treating the spokes like rods (mrod = 10 kg) rotating about their center and the rim as a ring (mring = 82 kg), find the total inertia. (c) Find the torque acting on the wheel.
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A 2m radius wheel with spokes, rotating at 100 rad/s, slows down to rotational velocity of 82 rad/s in 10s. (a) Find the rotational acceleration of the rotor. (b) Treating the spokes like rods (mrod = 10 kg) rotating about their center and the rim as a ring (mring = 82 kg), find the total inertia. (c) Find the torque acting on the wheel.
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