How can I analyze an equation and identify its relationship types?

[AznBoi]

Ok I'm having trouble analyzing this equation from Physics:

$$T_s=2\pi\sqrt\frac{m}{k}$$

 

[AznBoi]

woah that was my first time doing Latex with those variables lol. Anyways, how do I identify the direct, inverse, radical, etc. relationships between the two sides of the equal sign? The 2pi is multiplied by $$\sqrt\frac{m}{k}$$ and I don't know how to describe the relation ships between Ts and m, Ts and k, etc. Do I have to simplify the equation or get rid of the sqrt?

 

[OlderDan]

woah that was my first time doing Latex with those variables lol. Anyways, how do I identify the direct, inverse, radical, etc. relationships between the two sides of the equal sign? The 2pi is multiplied by $$\sqrt\frac{m}{k}$$ and I don't know how to describe the relation ships between Ts and m, Ts and k, etc. Do I have to simplify the equation or get rid of the sqrt?

A direct relationship is of the form y = kx
You would say y is directly proportional to x
An inverse relationship is of the form y = k/x
You would say y is inversely porportional to x

y could also be directly or inversely proportional to a power or root of x.

We call the universal gravition law an inverse square law because the force in inversely proportional to the square of the distance between objects.