A) Through what total angle did the wheel turns between t=0 and the time it stop

Question

A) Through what total angle did the wheel turns between t=0 and the time it stopped?
B) At what time did it stop?
C) What was its acceleration as it slowed down?
Part A Att-0 a grinding whieel has an angular velocity of 27 0 rad/s. It Through what total angle did the wheel turn betweent-0 and the time it stopped? has a constant angular acceleration of 31.0 rad/s2 until a circuit breaker trips at time t 2.50s From then on, it turns through an angle 434 rad as it coasts to a stop at constant angular acceleration rad Submit My Answers Give Up Part B At what time did it stop? suemy Answers Give Up Sutmitty Answers e Part C What was its acceleration as it slowed down? ad/s SUbrMy Answers Subnit Give Up

Explanation / Answer

wf = wi + at

theta = wi*t + 0.5*a*t^2

wi = 27 rad/sec

alpha = a = 31 rad/sec^2

t = 2.5 sec

theta1 = 27*2.5 + 0.5*31*2.5^2

theta1 = 164.38 rad

theta2 = 434 rad

wf = 27 + 31*2.5 = 104.5 rad/sec

A.

total theta = 164.38 + 434 = 598.38 rad

B.

t1 = 2.5 sec

t2 = 434/(104.5/2) = 8.31 sec

T = t1 + t2 = 8.31 + 2.5 = 10.81 sec

C.

alpha = d(wf)/dt

alpha = 104.5/8.31 = -12.58 rad/sec^2

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