a gyroscope slows from an initial rate of 28 rad/s at an angular acceleration of 0.54 rad/s2. how long does it take to come to rest in seconds?

Respuesta :

The time taken by the gyroscope to come to rest is 51.85 seconds.

The initial rate of the gyroscope is 28 rad/s and the angular acceleration is 0.54 rad/s², it is required to stop the gyroscope.

So, we can use the this equation here,

W' = W + at

W' is the final rate of gyroscope,

W is the initial rate of gyroscope,

a is the angular acceleration,

t is the time taken by the gyroscope.

So, putting values,

0 = 28+(-0.54)t

t = 51.85 seconds.

So, it will take 51.85 seconds for the gyroscope to come to rest.

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