Can you show me how to solve this? 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 58rad/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 totalnumber 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 470O 280O 320O 510o o oO

First increment: ωo1=0 rad/sω1=58 rad/st1=10s second increment: ω2=58 rad/s (constant)t2=30s third…

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

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

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 60PQ

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