an electric motor turns 100 revolutions in 5 sec as it speeds up to 2000 rpm. wh

Question

an electric motor turns 100 revolutions in 5 sec as it speeds up to 2000 rpm. what is the motors initial rotation speed (rad/s)? what is the motors constant angular acceleration? an electric motor turns 100 revolutions in 5 sec as it speeds up to 2000 rpm. what is the motors initial rotation speed (rad/s)? what is the motors constant angular acceleration? an electric motor turns 100 revolutions in 5 sec as it speeds up to 2000 rpm. what is the motors initial rotation speed (rad/s)? what is the motors constant angular acceleration?

Explanation / Answer

angualr displacement = theta = 100 revolution = 100*2*pi rad = 628.3 rad

time = 5 s

final speed wf = 2000 rpm = 2000*2*pi/60 rad/s = 209.43 rad/s

from equation of motion

theta = (wo + wf)/2*t

628.3 = (w0 + 209.43)/2*5

initial rotational speed w0 = 41.89 rad/s

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angualr acceleration alpha = (wf - wo)/t = (209.43-41.89)/5 = 33.51 rad/s^2

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