Could you help me review and check my physics homework?

Turned out the task said it was r=0.1, not d=0.1, my bad ;) Then, we have 3130rad/s which is around 31300rpm, right?

Also, I spotted that in 3. there IS a mistake - namely, I'm using 150cm (the diameter) as the radius which ruins the final answer. It should be cirmuference = 471cm and then 20.1rad/s as a consequence, shouldn't it?

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Originally Posted by Glyper

Turned out the task said it was r=0.1, not d=0.1, my bad ;) Then, we have 3130rad/s which is around 31300rpm, right?

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To convert radians/second to RPM you need to multiply by 60 seconds/minute and divide by 2 radians per revolution. You should get an answer a bit less than 30,000 RPM

Quote:

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Originally Posted by Glyper

Also, I spotted that in 3. there IS a mistake - namely, I'm using 150cm (the diameter) as the radius which ruins the final answer. It should be cirmuference = 471cm and then 20.1rad/s as a consequence, shouldn't it?

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I get precisely 20 rad/s. An easy way to do this is to use the fact that liinear velocity and rotational velocity are related by . Here and , so

OK, I think I get it. Thank you a lot for all your help :)