At time t=0s, a grinding wheel has an angular velocity of 23.6rad/s which is still increasing at a constant angular acceleration of 2.3rad/s2 until a circuit breaker trips at t=2.8s. After this time, the wheel slows down at a constant angular acceleration and still turned for about 12.2s before coming to rest. Through how many revolutions did the wheel turn from t=0s until it comes to rest?
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.
At time t=0s, a grinding wheel has an
Give formula first then solve.
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