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:

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