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At t=0t=0 the current to a dc electric motor is reversed, resulting in an angular displacement...

At t=0t=0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by θ(t)=(θ(t)=( 260 rad/srad/s )t−()t−( 20.5 rad/s2rad/s2 )t2−()t2−( 1.49 rad/s3rad/s3 )t3)t3.

A- At what time is the angular velocity of the motor shaft zero?

B- Calculate the angular acceleration at the instant that the motor shaft has zero angular velocity.

C- How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero?

D- How fast was the motor shaft rotating at t=0t=0, when the current was reversed?

E- Calculate the average angular velocity for the time period from t=0t=0 to the time calculated in part A.

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