Question 8 (1 point) The operating angular speed of a motor is 4000rpm. Starting
ID: 2262396 • Letter: Q
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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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