Rotation with constant acceleration

AI Thread Summary
The discussion revolves around calculating the final rotational speed of a flywheel with a mass of 40 kg and a diameter of 75 cm, initially spinning at 500 rpm. Over 30 seconds, the wheel experiences friction, resulting in 200 complete revolutions. To find the final speed, the kinematic equations for uniform acceleration are suggested, specifically using the equation x = x_0 + v_0t + 1/2at^2. Participants are encouraged to apply these principles to determine the acceleration and final speed of the wheel. The problem highlights the application of rotational dynamics in real-world scenarios.
gunnar
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A flywheel has mass 40 kg and diameter 75 cm is spinning at 500 rpm. During 30 sec the wheel slows down due to friction. The wheel makes 200 complete revolutions during the 30 sec.
At what rate is the wheel spinning at the end of the 30 sec?

Can somebody help with this problem please?
 
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Use the kinematic equations for uniform acceleration to solve for the acceleration, and then the final speed. For example, you can start with the rotational analog of this equation: x = x_0 + v_0t + 1/2at^2.
 
Thank's a lot. Really saved me there.
 

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