A flywheel with a radius of 0.600 m starts from rest and accelerates with a cons

Question

A flywheel with a radius of 0.600m starts from rest and accelerates with a constant angular acceleration of 0.300rad/s2 .

Compute the magnitude of the tangential acceleration of a point on its rim at the start.

Compute the magnitude of the radial acceleration of a point on its rim at the start.

Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?

.

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 120.0 ?.

Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 120.0 ?.

Explanation / Answer

1)a=alpha*radius=0.3*0.6=0.18m/s2

2)radial acceleration=w^2*R=0 at start

3)w^2=2*alpha*theta=2*0.3*pi/3=0.628rad/s

so radial acceleration=w^2*R=0.628*0.6=0.37m/s2

4)tangential acceleration is same =0.18m/s2

5)tangential acceleration is same =0.18m/s2

6)w^2=2*alpha*theta=2*0.3*2*pi/3=1.256rad/s

so radial acceleration=w^2*R=1.256*0.6=0.754m/s2

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