Solve the following :

Question:

A disc of radius $10 \mathrm{~cm}$ is rotating about its axis at an angular speed of $20 \mathrm{rad} / \mathrm{s}$. Find the linear speed of

(a) a point on the rim.

(b) the middle point of a radius.

Solution:

$(a) v=r w=(0.1)(20)$

$v=2 \mathrm{~m} / \mathrm{s}$

(b) $v=r \omega=\left(\frac{0.1}{2}\right)(20)$

$v=1 \mathrm{~m} / \mathrm{s}$

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