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While placing a compact disc into a CD player, you notice a small chip on it\'s

ID: 2305514 • Letter: W

Question

While placing a compact disc into a CD player, you notice a small chip on it's edge. But you attempt to play the CD anyway by placing the CD into the player's deck with the chip at 8o-16.5° as measured from the +x axis. The CD begins to rotate with angular acceleration a 2.49 rad/s2. If the CD has been spinning for t3.51 s and the disc has a radius of r 6.00 cm, what are the x-y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00). Number x--5.982cm Number 0.449 c m Incorrect.

Explanation / Answer

delta(theta) = w0 t + alpha t^2 /2

theta - theta0 = 0 + (2.49)(3.51^2)/2 = 15.3385 rad  

theta - 16.5 deg = (15.3385 x 180 / pi) deg = 878.833 deg


theta = 895.333 deg


x = r cos(theta) = 6.00 cos(895.333) = -5.98

y = r sin(theta) = 0.488 cm .....Ans