During a 6.0-s time interval. a flywheel with a constant angular acceleration turns through 500 radians that acquire anangular velocity of 100 rad/s. (a) what is the angular velocity at the beginning of the 6.0 s? (b) what is the angularacceleration of the flywheel?

a)ωi = 66.66 rad/s

b)α =5.55 rad/s²

Explanation:

Given that

t= 6 s

θ = 500 rad

ωf= 100 rad/s

Lets take initial angular speed = ωi

If angular acceleration is constant

Lets take angular acceleration = α rad/s²

ωf=ωi + α t

θ = ωi .t+ 0.5 α t²

ωi = 66.66 rad/s

ωf=ωi + α t

100=66.66+ α x 6

α =5.55 rad/s²

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