A wind generator has blades with a radius of 24.5 meters. The blade is turning at an angular velocity of 17.0 rpm. What is the blade's rotational velocity in radians per second?

What equation do I use to solve for this problem? Thanks!

You need to convert revolutions per minute first to revolutions per second, then convert that to radians per second. There are 60 seconds in a minute so to convert RPM to revolutions per second multiply by 1/60 min/sec:



Next - do you know how many radians are in a full circle? Multiply the above by that factor to get the answer in radians/sec.

2pi*r correct?
So would I just take 17/60 and times it by 2*pi*24.5?

Thank you so much for taking time to help me with that. I was really getting hung up on where to start or if I needed an equation.

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Originally Posted by nccaitlin91

2pi*r correct?
So would I just take 17/60 and place that in the "r" of 2pi*r to get the radians per second?

Thank you so much for taking time to help me with that. I was really getting hung up on where to start or if I needed an equation.

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1.8 times 24.5= 43.6 is the answer I got from that

There are 2 pi radians in a circle, not 2 pi r. So to convert from rev/sec to radians/sec multiply by 2 pi radians/rev. Note how the units cancel out leaving the answer in terms of rev/sec.

Quote:

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Originally Posted by ebaines

There are 2 pi radians in a circle, not 2 pi r. So to convert from rev/sec to radians/sec multiply by 2 pi radians/rev. Note how the units cancel out leaving the answer in terms of rev/sec.

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So I should just stick to the 1.78rad/s ( which I rounded to 1.8 earlier) and not worry with the 24.5 at all?

Yes, 1.78 rad/sec.