For questions related to conversion of units.

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22
votes
9answers
8k views

Why do we require radians in calculus?

I think this is just something I've grown used to but can't remember any proof. When differentiating and integrating with trigonometric functions, we require angles to be taken in radians. Why does ...
5
votes
3answers
1k views

Arbitrarily discarding/cancelling Radians units when plugging angular speed into linear speed formula?

Why is the radians implicitly cancelled? Somehow, the feet just trumps the numerator unit. For all other cases, you need to introduce the unit conversion fraction, and cancel explicitly. Is it ...
3
votes
3answers
137 views

Where should the exponent be written in numbers with units of measurement?

If you are to calculate the hypotenuse of a triangle, the formula is: $h = \sqrt{x^2 + y^2}$ If you don't have any units for the numbers, replacing x and y is pretty straightforward: $h = \sqrt{4^2 ...