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

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 ?0 = 12.6° as measured from the x axis. The CD begins to rotate with angular acceleration ? = 2.31rad/s^2. If the CD has been spinning for t = 3.51s and the disc has a radius of r = 6.00cm, 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).

Print Calculator -d Periodic Table Question 6 of 7 Map Sapling Learning macmillan learning 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 6o12.6 as measured from the +x axis. The CD begins to rotate with angular acceleration ?-2.31 radS2. If the CD has been s t 3.51 s and the disc has a radius of 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 cm Number cm Previous Give Up & View Solution ø Check Answer 0 Next Exit- Hint

Explanation / Answer

theta0 = 12.6° = (12.6 * 2 pi / 360) = 0.219 rad

t = 3.51 s, r = 6.00 cm, alpha = 2.31 rad/s2

theta = theta0 + w t + (1/2) alpha t2

theta = 0.219 + (1/2 * 2.31 * 3.512) = 14.45 rad

theta = 14.45 * 360 / 2 pi = 8280

x = r * cos theta = 6.00 * cos 828

x = -1.85 cm

y = r * sin theta = 6.00 * sin 828

y = 5.71 cm

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