a grindstone increases in angular speed uniformly from 5.50 rad/s to 13.0 rad/s in 4.90 s. (a) calculate the grindstone's angular acceleration. rad/s2 (b) through what angle does it turn during that time?



Answer :

Angle 32rad turn during that time if the angular acceleration is constant.

What is acceleration?

acceleratiom, rate at which the  velocity changes with time, in terms of both speed and the  direction. A point or else it's an  object moving in a straighten line is accelerated if it is  speeds up or slows down. Motion on a circle is the  accelerated even if the  speed is constant, because of  the direction is continually changing.

Sol-  In an uniformly accelerated circular motion, the angle traveled by the object is given by-

∆=wf+wo/2×t

Here  wf is the final angular speed .

It is the initial angular speed and t is the time of the motion. Replacing the given values-

∆= 12 rad/s + 4 rad/s /2 (4s)

∆= 32rad .

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