Find rotation in rev/min given angular speed?

[shelbylove20]

Angular speed = 2.7 rad/s

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Angular speed = 4/3pi rad/hr

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Angular speed = 3/2pi rad/min

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please help!

 

[shelbylove20]

Is this homework?
Where are you stuck?

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No, it is not homework. It's a test prep. I haven't done any kind of advanced math in 3 years. If someone would tell me how to do it, I would remember. I'm just rusty.

 

[MarkFL]

Use the fact that there are $\displaystyle 2\pi$ radians per revolution, along with the fact that there are 60 seconds per minute and 60 minutes per hour.

For example, suppose we have k radians per second, we would then convert to rpm as follows:

$\displaystyle \displaystyle k\frac{\text{rad}}{\text{s}}\cdot\frac{1\text{ rev}}{2\pi\text{ rad}}\cdot\frac{60\text{ s}}{1\text{ min}}=\frac{30}{\pi}k\frac{\text{rev}}{\text{min}}$