- #1

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I know an angular velocity is revs/s or rad/s so its going to be 'whatever radians/ revs are in basic dimensions * T^(-1)

But I'm not sure how to express revs/rads in basic dimensions? Are they just dimensionless?

- Thread starter mightysteve
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- #1

- 11

- 0

I know an angular velocity is revs/s or rad/s so its going to be 'whatever radians/ revs are in basic dimensions * T^(-1)

But I'm not sure how to express revs/rads in basic dimensions? Are they just dimensionless?

- #2

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The 'rad' in 'rad/s' is there to denote that we specifically mean a unit of angular velocity, to seperate it from '/s', which is a unit of frequency. However, angular velocity is also the angular frequency of rotation in a uniform circular motion i.e. it differs from the no. of rotations by a factor of [itex]2\pi[/itex].

As far as revolution is considered, n revolutions just mean [itex]n \times 2\pi[/itex] radians. Even then, revolutions are counted in pure basic numbers. And as you know, there is nothing like a 'kilo numbers' or a 'mega numbers'.. hence revolutions is also a dimensionless unit.

- #3

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Aah, i see. Thanks very much

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