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Mathematics 21 Online
OpenStudy (anonymous):

Can someone please show me how to do this step by step, I tried looking online but it's no help at all. A turntable rotates at 42 revolutions per minute. What is its angular speed in radians per second?

OpenStudy (anonymous):

ello

OpenStudy (anonymous):

hello

OpenStudy (snowfire):

First off, how many radians are in one revolution?

OpenStudy (anonymous):

5

OpenStudy (anonymous):

i think

OpenStudy (snowfire):

5? It's actually just 2

OpenStudy (anonymous):

there's 2pi

OpenStudy (anonymous):

oh

OpenStudy (snowfire):

So this turntable rotates 42 times per minute, how many times is that in one second?

OpenStudy (anonymous):

60

OpenStudy (anonymous):

60

OpenStudy (snowfire):

This specific turntable, not how many seconds are in a minute

OpenStudy (anonymous):

42 per 60 secs?

OpenStudy (snowfire):

Yes, so per 1 sec, how many?

OpenStudy (anonymous):

0.7

OpenStudy (snowfire):

Sounds about right, so if there are 2 radians in a whole revolution, and this turntable rotates .7 times per second, how many radians is that per second?

OpenStudy (anonymous):

.7 x 2pi=?

OpenStudy (snowfire):

Yep, you got it

OpenStudy (anonymous):

So the answer would be 4.39822972

OpenStudy (snowfire):

No, divide by pi and that's how many radians.

OpenStudy (snowfire):

You only needed the 2, not 2pi

OpenStudy (anonymous):

Oh alright! Thanks for the help!

OpenStudy (snowfire):

Oh wait nvm, keep the pi

OpenStudy (snowfire):

4.39 was fine

OpenStudy (anonymous):

thnx again!

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