Homework Answers
SOLUTION :
a.
Angular speed increases from 20 rad/sec to 40 rad/sec in 5 secs.
So the average angular speed = (20 + 40)/2 = 30 rad/sec
Angular distance moved = 30 * 5 = 150 rad.
So, number of revolutions done = 150/(2 * pi) = 23.87 (ANSWER).
b.
Disc travels
= no. of frevolutions * 2 pi r
= 150/(2 pi) * 2 pi * 0.3
= 45 m (ANSWER).
c.
Angiular acceleration
= incrtease in angular speed / time
= (40 - 20) / 5
= 4 rad / sec^2 (ANSWER).
d.
Linear accleration
= angular acceleration * r
= 4 * 0.3
= 1.2 m/s^2 (ANSWER).
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