When the play button is pressed, a CD accelerates uniformlyfrom rest to 495 rev/

Question

When the play button is pressed, a CD accelerates uniformlyfrom rest to 495 rev/min in 2.6 revolutions. If the CD has a radius of 6 cm, and amass of 17 g, what is the torque exerted on it?
Please help me solve this problem! It's due tonight at 11. Anyhelp would be appreciated! Thank you in advance!
When the play button is pressed, a CD accelerates uniformlyfrom rest to 495 rev/min in 2.6 revolutions. If the CD has a radius of 6 cm, and amass of 17 g, what is the torque exerted on it?
Please help me solve this problem! It's due tonight at 11. Anyhelp would be appreciated! Thank you in advance!

Explanation / Answer

Initial speed w = 0 final speed w ' = 495 rev / min                       = 495 rev / 60 s                       = 8.25 rev / s angular speed = 2.6 rev radius r= 6 cm = 0.06 m mass m = 17 g = 0.017 kg Angular accleration = [ w ' ^ 2- w ^ 2 ] /2                                  = 13.088 rev / s ^ 2                                   =13.088 * 2 rad / s ^ 2                                  = 82.24 rad / s ^ 2 Moment of inertia I = ( 1/ 2) m r ^ 2                              = 3.06 * 10 ^ -5 kg m ^ 2 So, torque = I                  = 2.516 * 10 ^ -3 N m

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