The End of the Song The End of the Song As you inish listening to your favorite

Question

The End of the Song The End of the Song As you inish listening to your favorite compact disc (CDJ, the CD in the player slows down to a stop the CD rotates clockwise at 500 rpm (revolutons per minute) while the last song is playing, and then spins down to zero angular speed i as it spins to a stop? n 260s with constant angular acceleration, what is o, the magnitude of the angular of the CD Express your answer in radians per second squared Hints angular acceleration. 20.1 rad/s, as Correct of figures than required for this part How many revolutions does the CD make as it spins to a stop? Express your answer using three significant figures. Hints Provisde Feedback Continue

Explanation / Answer

Given,

w0 = 500 rpm = 52.36 rad/s

t = 2.6 s

We know from eqn in circular motion

w = w0 + alpha t

0 = 52.36 + alpha x 2.6

alpha = -52.36/2.6 = -20.14 rad/s^2

Hence, alpha = 20.14 rad/s^2

B)we know that

theta = w0t + 1/2 alpha t^2

theta = 52.36 x 2.6 + 0.5 x -20.14 x 2.6^2 = 68.06 rad

N = 68.06/2 x 3.14 = 10.84 rev

Hence, N = 10.84 rev

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