A compact disc of radius is initially at rest

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A compact disc of radius

0.060\,\text{m}

is initially at rest. It undergoes the following motion about its central axis: • From

t = 0

t = 2.0\,\text{s}

, it has a constant angular acceleration of

6.0\,\text{rad}\,\text{s}^{-2}

. • From

t = 2.0\,\text{s}

t = 5.0\,\text{s}

, it rotates with the constant angular speed attained at

t = 2.0\,\text{s}

. • From

t = 5.0\,\text{s}

until it stops at

t = 8.0\,\text{s}

, it has a constant angular deceleration of

4.0\,\text{rad}\,\text{s}^{-2}

. What total linear distance does a point on the outer edge of the disc travel during the entire

0

–

8\,\text{s}

interval? (a)

5.0\,\text{m}

(b)

4.0\,\text{m}

(c)

3.0\,\text{m}

(d)

4.8\,\text{m}