At what time does the wheel stop?

By Allen Kazadi
1 Min Read

At t=0 a grinding wheel has an angular velocity of 25.0 rad/s. It has a constant angular acceleration of 26.0 rad/s2 until a circuit breaker trips at time t = 2.40 s. From then on, it turns through an angle 435 rad as it coasts to a stop at constant angular acceleration.

Part APart complete Through what total angle did the wheel turn between t=0 and the time it stopped? Express your answer in radians. θ = 570 rad
Part B At what time did it stop? Express your answer in seconds. t = nothing s
Part C What was its acceleration as it slowed down? Express your answer in radians per second squared.

Answer:

a) The total angle of the grinding wheel is 569.88 radians,

b) The grinding wheel stop at t = 12.354 seconds,

c) The deceleration experimented by the grinding wheel was 8.780 radians per square second.

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