Question

A flywheel rotates with a constant retardation due to breaking from t=0to t=10 seconds. it made 400 revolutions . At time t=8 sec , it's angular velocity was 45πrad/sec. Determine

1 . Value of constant ratardation.

2. Total time taken to come to rest.

3. Total revolution made till it comes to rest.

Answer 1

$w = 2\pi*N/60$

$= 2\pi *400/60$

= 41.89 rad/sec

$= (45-41.89)/2$

$1. = -1.556 rad/sec^2$

$t =$ 41.89/1.559

$2. time = 26.92 sec$

Number of revolution made before rest,