Question

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?

Answer 1

Answer:

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

$\theta =\dfrac{\omega_i+\omega_f}{2}\times t$

$500=\dfrac{\omega_i+100}{2}\times 6$

ωi = 66.66 rad/s

ωf=ωi + α t

100=66.66+ α x 6

α =5.55 rad/s²