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Question 8 (1 point) The operating angular speed of a motor is 4000rpm. Starting

ID: 2262396 • Letter: Q

Question

Question 8 (1 point)

The operating angular speed of a motor is 4000rpm. Starting from rest it takes 2 minutes to reach that speed.  How many revolutions does it take to reach the operating speed? The operating angular speed of a motor is 4000rpm. Starting from rest it takes 2 minutes to reach that speed.  How many revolutions does it take to reach the operating speed? The operating angular speed of a motor is 4000rpm. Starting from rest it takes 2 minutes to reach that speed.  How many revolutions does it take to reach the operating speed? The operating angular speed of a motor is 4000rpm. Starting from rest it takes 2 minutes to reach that speed.  How many revolutions does it take to reach the operating speed?

Explanation / Answer

w = 4000 rpm = 4000*2*pi/60 rad/s = 418.67 rad/s t = 2 mins = 120 s theta = w0*t + 0.5*alpha*t^2 => theta = 0 + 0.5*[(418.67-0)/120]*120^2 => theta = 25120.2 radians no. of rev= theta/2*pi = 25120.2/(2*3.14) = 4000.032 rev

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