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Relation between Linear and Angular Speed

The blades of...

Question

The blades of an aeroplane propeller are rotating at the rate of $600$ revolutions per minute its angular velocity is

A

10 π r a d / s

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B

20 π r a d / s

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C

2 π r a d / s

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D

π r a d / s

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Solution

The correct option is C $20 π r a d / s$
Frequency of the propeller $f = 600$ rpm $= \frac{600}{60} = 10$ rps
$∴$ Angular velocity $w = 2 π f = 2 π (10) = 20 π$ rad/s

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