Calculating Net Torque of Uniform Disk

AI Thread Summary
The discussion focuses on calculating the net torque of a uniform disk representing a circular blade on a radial arm saw. Initially, the blade spins at 265 rad/s and slows to 85 rad/s over 12 seconds. The relevant equations include torque, force, and angular acceleration, with the net torque being zero. The angular acceleration opposes the initial angular velocity, indicating that the torque reducing the speed is equal and opposite to the torque that initially caused the rotation. Ultimately, the conclusion is that the net torque applied to the blade is zero.
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The circular blade on a radial arm saw is turning at 265 rad/s at the instant the motor is turned off. In 12.0 s the speed of the blade is reduced to 85 rad/s. Assume the blade to be a uniform solid disk of radius 0.140 m and mass 0.400 kg. Find the net torque applied to the blade.

Relevant Equations:
Torque net = 0
Torque= F(r)
F=ma
angular accel. = w2r

Attempt:
\sumTorque=(.4)(265)2(.14)(.14) +(.4)(85)2(.14)(.14)
I known I need to sum the forces but I am unsure of what direction to use.
 
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Answer:The net torque applied to the blade is zero. The angular acceleration of the blade must be in the opposite direction of the angular velocity, so the torque applied to reduce the angular velocity must be equal and opposite to the initial torque that caused the angular velocity. Therefore, the net torque is zero.
 
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