Question
14
Need Help? 4 O US point A digital audio compact disc carries data along a continuou player turns the disc to carry the track count s spiral track from the inner circumference of the disc to the outside edge. Each bit occupies 0.6 um of the track. A ercdockwise above a lens at a constant speed of 1.44 m/s (a) Find the required angular speed at the beginning of the recerding where the spiral has a radius of 2.30 cm. 60 V rad/s (b) Rind the required angular speed at the end of the recording, where the spiral has a radius of S.70 cm. the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out ll least four digit accuracy to minimize roundoft error. rad/s (c) A full-length recording lasts for 64 min, 25 s. Find the average angular acceleration of the disc. 86 The response you submitted has the wrong sign, rad/s (d) Assuming that the acceleration is constant, find the total angular displacement of the disc as it plays Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad e) Find the total length of the track 5565 6 Your response is off by a multiple of ten. km Need Help?Tal toa Tuter Adobe AcrobatReader DC was updated successfully! Changes will take effect next time you restart yeur system Cbek here fer details
Explanation / Answer
a) required angular speed w0 = v / r = 1.44 / 2.3 * 10-2
= 62.6 m/s
b) w = v / r = 1.44 / 5.7 * 10-2
= 25.26 rad/s
c) average angular acceleration = w - w0 / delta t
= 25.26 - 62.6 / (64 * 60 + 25)
= -9.66 * 10-3 rad/s2
d) total angular displacement = w2 - w02 / (2 * alpha)
= (25.262 - 62.62) / (2 * -9.66 * 10-3)
= 1.69 * 105 rad
e) total length = v * delta t = 1.44 * 3865
= 5566 m
