? Print Calculator Ed Periodic Table estion 20 of 20 Ma Sapling Larning While pl

Question

? Print Calculator Ed Periodic Table estion 20 of 20 Ma Sapling Larning 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 players deck with the chip at o 11.3 as measured from the +x axis. The CD begins to rotate with angular acceleration ? = 2.49 rad/s2. If the CD has been spinning for ?3.51 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 cm Number c im

Explanation / Answer

Theta' = 11.3 degree = (11.3*2*3.14 / 360)rad

Theta' = 0.197 red

t = 3.51s,

r = 6.0 cm

a = 2.49 rad/s^2

From Rotational Kinetmatic Equation

Theta = Theta' + wt + (1/2)at^2

Theta = 0.197 + 0 + (0.5*2.49*(3.51^2))

Theta = 0.197 + 15.338

Theta = 15.535 rad

Theta = (15.535*360) / (2*3.14)

Theta = 890.5 degree

x = r*cos(theta)

x = 6 * cos(890.5)

x = 6 * -0.986

x = -5.916 cm

y = r * sin(Theta)

y = 6 * sin(890.5)

y = 6 * 0.165

y = 0.99 cm

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