A wheel has an initial speed of 100 radians/s. It is then slowed down with a magnitude of the constant angular acceleration of 6.0s^-2. To make it come to rest, how many revolutions does it need to make?

Answer 1

(100/s)÷(6/s^2) = 100/6 s

It starts with a speed of 100, and loses 6 every second...

Answer 2

initial speed = 100
final speed = 0
so average speed = 50 rad/s

How long does it take?
v = Vi - 6 t
0= 100 - 6 t
t = 100/6 = 16.7 s

so radians total = 50*16.7
divide by 2pi rad/revolution

50 ( 16.7) /6.28 = answer