A bicycle with $0\mathrm{.}3$ m radius wheels, is moving such that the angular speed of each wheel is $75$ rad$/$s$.$ If the bicyclist then applies the brakes and the wheels slow with an angular acceleration of $-15$ rad$/$s$2,$ how many revolutions will each wheel make before the bike stops?

Question $3$Answer

a$.$

$29\mathrm{.}8$ revolutions

b$.$

$10,700$ revolutions

c$.$

$14\mathrm{.}7$ revolutions

d$.$

$62\mathrm{.}7$ revolutions

e$.$

$188$ revolutions