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Relation between Linear and Angular Speed

The angular v...

Question

The angular velocity of a wheel is $70 r a d / s$ . If the radius of the wheel is $0.5 m$ , then linear velocity of the wheel is

A

70 m / s

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B

35 m / s

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C

30m/s30m/s

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D

20m/s20m/s

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Solution

The correct option is B $35 m / s$
Given : $w = 70$ $r a d / s$ $r = 0.5$ m
$∴$ Its linear velocity $v = r w = 0.5 \times 70 = 35$ $m / s$

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