A spinning flywheel has rotational inertia I= 401 kg·m2. Its angular velocity decreases from 20.0 rad/s to zero in 300.0 s due to friction. What is the frictional torque acting? If the frictional force acting is opposite in the direction of the flywheel’s rotation, enter a negative value and if the frictional force acting is in the direction of the flywheel’s rotation, enter a positive value. answer in N m

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter13: Rotation Ii: A Conservation Approach
Section: Chapter Questions
Problem 16PQ
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A spinning flywheel has rotational inertia I= 401 kg·m2. Its angular velocity decreases from 20.0 rad/s to zero in 300.0 s due to friction. What is the frictional torque acting? If the frictional force acting is opposite in the direction of the flywheel’s rotation, enter a negative value and if the frictional force acting is in the direction of the flywheel’s rotation, enter a positive value.

answer in N m

 

Expert Solution
Step 1

The frictional torque acting on the flywheel can be calculated using the equation of rotational motion:

τ = -I * (dω/dt)

where I is the rotational inertia, ω is the angular velocity, and dω/dt is the angular acceleration.

Since the angular velocity decreases from 20.0 rad/s to zero in 300.0 s.

The angular acceleration can be calculated as:

dω/dt

 = -ω/t

= -20.0 rad/s / 300.0 s

= -0.067 rad/s^2

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