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Standard XII

Physics

Relation between Linear and Angular Speed

A body is whi...

Question

A body is whirled in a horizontal circle of radius $25 c m$ . It has an angular velocity of $13 r a d / s$ . What is its linear velocity at any point on circular path?

2 m / s

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3 m / s

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3.25 m / s

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4.25 m / s

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Solution

The correct option is C $3.25 m / s$
Given, $r = 25 c m = 0.25 m$
$ω = 13 r a d / s$
$∵$ Linear speed $=$ Radius $\times$ Angular speed
or $v = r ω$
$∴ v = 0.25 \times 13$
$\Rightarrow v = 3.25 m / s$

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A body is whirled in a horizontal circle of radius 25cm. It has an angular velocity of 13rad/s. What is its linear velocity at any point on circular path?

The correct option is C 3.25m/sGiven, r=25cm=0.25mω=13rad/s∵ Linear speed = Radius × Angular speedor v=rω∴v=0.25×13⇒v=3.25m/s

A body is whirled in a horizontal circle of radius $25 c m$ . It has an angular velocity of $13 r a d / s$ . What is its linear velocity at any point on circular path?

The correct option is C $3.25 m / s$
Given, $r = 25 c m = 0.25 m$
$ω = 13 r a d / s$
$∵$ Linear speed $=$ Radius $\times$ Angular speed
or $v = r ω$
$∴ v = 0.25 \times 13$
$\Rightarrow v = 3.25 m / s$