A flywheel has a constant acceleration of -2.0 rad/s^2. 1). Find the angle throu

Question

A flywheel has a constant acceleration of -2.0 rad/s^2. 1). Find the angle through which the flywheel turns as it comes to rest from an angular speed of 220 rad/s 2). Find the time for the flywheel to come to rest.
A flywheel has a constant acceleration of -2.0 rad/s^2. 1). Find the angle through which the flywheel turns as it comes to rest from an angular speed of 220 rad/s 2). Find the time for the flywheel to come to rest.
1). Find the angle through which the flywheel turns as it comes to rest from an angular speed of 220 rad/s 2). Find the time for the flywheel to come to rest.

Explanation / Answer

1)
W^2 = Wo^2 + 2 (alpha) Theta (W- omega) (W = 0 (rest))

(220)^2 = - 2 x - 2 x theta

theta = 12100 rad/s

in 1 turn 2 pi radian So

turns = theta / 2 pi = 19006 turns

2)
W = Wo + (alpha) t

0 = (220) - 2 x t

t = 110 sec

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