Finding angular velocity of object moving in a circle

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An object moving in a circle makes $15 \text{ revolutions per minute}$. What is its angular velocity?

I know that the equation for angular velocity is $\omega = \frac vr$.

I also know that $1 \text{ minute}$ is $60 \text{ seconds}$.

However I do not know how to use this information to find the angular velocity as the radius is not given.

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2 Answers

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$\omega=2\pi v$ where $v$ is frequency, and $\omega$ is angular velocity.

$v$=Number of revolutions in $1$ second =$15/60=1/4$. {Since object is making $15$ revolutions in $60$ seconds}

So, $\omega=2\pi v=\frac{2\pi}{4}=\pi/2 $ radians/sec which is approximately $1.57$ radians/sec

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Angular velocity is measured in radians per second, so that $15$ revolutions per minute becomes $$\frac{15\times 2\pi}{60}$$

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