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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

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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 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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