At t = 0 the current to a dc electric motor isreversed, resulting in an angular

Question

At t = 0 the current to a dc electric motor isreversed, resulting in an angular displacement of the motor shaftgiven by (t) = (210 rad/s)t (21.5 rad/s2)t2 (1.30rad/s3)t3. (c) How many revolutions does the motor shaft turn throughbetween the time when the current is reversed and the instant whenthe angular velocity is zero?
(e) Calculate the average angular velocity for the time periodfrom t = 0 to the time calculated in part (a).
(a) At what time is the angular velocity of the motor shaftzero?
1 s

At t = 0 the current to a dc electric motor isreversed, resulting in an angular displacement of the motor shaftgiven by (t) = (210 rad/s)t (21.5 rad/s2)t2 (1.30rad/s3)t3. (c) How many revolutions does the motor shaft turn throughbetween the time when the current is reversed and the instant whenthe angular velocity is zero?
(e) Calculate the average angular velocity for the time periodfrom t = 0 to the time calculated in part (a).
(a) At what time is the angular velocity of the motor shaftzero?
1 s

Explanation / Answer

(t) = (210rad/s)t (21.5rad/s2)t2 (1.30 rad/s3)t3. (t) = d/dt = 210 - 43 t - 3.90 t2 a) (t) = 0, t = 3.665 s c) (3.665) = 416.86 rad = 66.3 rev e) the average angular velocity = (3.665)/3.665 = 113.7rad/s

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