Equations of Rotational Motion Video Lessons

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Problem: A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s2.(a) How long does it take to come to rest?(b) How many revolutions does it make before stopping?

FREE Expert Solution

We'll use the equation:

ωf=ω0+αt

We'll also use the equation:

θ=ω0t+12αt2

(a)

Find t from the first equation as follows:

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Problem Details

A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s2.

(a) How long does it take to come to rest?

(b) How many revolutions does it make before stopping?

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