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

Question

A flywheel with a radius of 0.600 m starts from rest and accelerates with a constant angular acceleration of 0.700 rad/s2 .

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

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

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

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

Explanation / Answer

a)

here

a = alpha * r

a = 0.7 * 0.6

a = 0.42 m/s^2

b)

After it has turned through 60deg = pie / 3 rad

w^2 = w0^2 + 2 * alpha * theta

w^2 = 0 + 2 * 0.7 * pie / 3

w^2 = 1.4653 rad/s^2

radial a = w^2 * r = 1.4653 * 0.6m = 0.879 m/s^2

c)

Tangential a = 0.42 m/s^2

d)

w^2 = 0 + 2 * 0.7 * 2 * pie/3 = 2.93 rad/s^2

radial a = 2.93 rad/s^2 * 0.6m = 1.758 m/s^2

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