At time t=0 a grinding wheel has an angular velocity of 25.0 rad/s. It has a constant angular acceleration of 32.0 rad/s2 until a circuit breaker trips at time t= 1.80 s. From then on, the wheel turns through an angle of 433 rad as it coasts to a stop at constant angular deceleration. Through what total angle did the wheel turn between t=0 and the time it stopped, and at what time (t) does the wheel stop?
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=0 a grinding wheel has an
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