A machinist turns on the power on to a grinding wheel at time t = 0 s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 58 rad/s. The wheel is run at that angular velocity for 30 s, and then power is shut off. The wheel slows down uniformly at 1.4 rad/s? until the wheel stops. What is the tota number of revolutions made by the wheel in this situation? Hint: A multiple part solution. There are three increments of angular displacement: 1) Use A8 = (w+ wo) t. 2) Use A0 = wt. 3) Use w = w? + 2aA0. The angular acceleration is negative since the wheel is slowing down. Remember to convert the total angular displacement in radians to revolutions. O 470 O 280 O 320 O 510 ooo

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Chapter11: Angular Momentum
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Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...
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A machinist turns on the power on to a grinding wheel at time t = 0 s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 58
rad/s. The wheel is run at that angular velocity for 30 s, and then power is shut off. The wheel slows down uniformly at 1.4 rad/s? until the wheel stops. What is the total
number of revolutions made by the wheel in this situation?
Hint: A multiple part solution. There are three increments of angular displacement:
1) Use △θ =D (w+wo) t.
2) Use A0 = wt.
3) Use w? =
w? + 20A0. The angular acceleration is negative since the wheel is slowing down.
Remember to convert the total angular displacement in radians to revolutions.
O 470
O 280
O 320
O 510
o o oO
Transcribed Image Text:A machinist turns on the power on to a grinding wheel at time t = 0 s. The wheel accelerates uniformly from rest for 10 s and reaches the operating angular speed of 58 rad/s. The wheel is run at that angular velocity for 30 s, and then power is shut off. The wheel slows down uniformly at 1.4 rad/s? until the wheel stops. What is the total number of revolutions made by the wheel in this situation? Hint: A multiple part solution. There are three increments of angular displacement: 1) Use △θ =D (w+wo) t. 2) Use A0 = wt. 3) Use w? = w? + 20A0. The angular acceleration is negative since the wheel is slowing down. Remember to convert the total angular displacement in radians to revolutions. O 470 O 280 O 320 O 510 o o oO
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