An electric motor rotating a workshop grinding wheel at 1.13 x 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.93 rad/s². (a) How long does it take the grinding wheel to stop? (b) Through how many radians has the wheel turned during the time interval found in part (a)? Part 1 of 5 - Conceptualize We estimate several seconds for the time it takes the wheel to stop. We estimate many radians for the angular displacement. Part 2 of 5 - Categorize We use the rigid body under constant angular acceleration model. We will use one of the four equations about motion with constant angular acceleration to solve for time and angular displacement. Part 3 of 5 - Analyze We are given the angular acceleration a = 1.93 of rev/min to rad/s2. The conversion is as follows. rev min @₁ = Your response differs from the correct answer by more than 100%. = 113 6.1295 rad/s². The final angular speed is given by @= 0. In order to find the initial angular speed ₁, we need to convert from units X rad rev 1 min 60.0 s. 6.12 x Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 15PQ
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10.3

An electric motor rotating a workshop grinding wheel at 1.13 × 10² rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.93 rad/s².
(a) How long does it take the grinding wheel to stop?
(b) Through how many radians has the wheel turned during the time interval found in part (a)?
Part 1 of 5 - Conceptualize
We estimate several seconds for the time it takes the wheel to stop. We estimate many radians for the angular displacement.
Part 2 of 5 - Categorize
We use the rigid body under constant angular acceleration model. We will use one of the four equations about motion with constant angular acceleration to solve for time and angular
displacement.
Part 3 of 5 - Analyze
We are given the angular acceleration α = 1.93
of rev/min to rad/s2. The conversion is as follows.
@¡ =
=
113
B)(
Your response differs from the correct answer by more than 100%.-
rev
min
rad/s². The final angular speed is given by @f = 0. In order to find the initial angular speed ₁, we need to convert from units
6.1295
rad
rev
-) (²
1 min
60.0 s
6.12
X
Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s
Transcribed Image Text:An electric motor rotating a workshop grinding wheel at 1.13 × 10² rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 1.93 rad/s². (a) How long does it take the grinding wheel to stop? (b) Through how many radians has the wheel turned during the time interval found in part (a)? Part 1 of 5 - Conceptualize We estimate several seconds for the time it takes the wheel to stop. We estimate many radians for the angular displacement. Part 2 of 5 - Categorize We use the rigid body under constant angular acceleration model. We will use one of the four equations about motion with constant angular acceleration to solve for time and angular displacement. Part 3 of 5 - Analyze We are given the angular acceleration α = 1.93 of rev/min to rad/s2. The conversion is as follows. @¡ = = 113 B)( Your response differs from the correct answer by more than 100%.- rev min rad/s². The final angular speed is given by @f = 0. In order to find the initial angular speed ₁, we need to convert from units 6.1295 rad rev -) (² 1 min 60.0 s 6.12 X Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s
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