Relation between mass and circular horizontal velocity

[Vals509]

I am doing an investigation on circular motion and have chosen to study the relationship between mass and its circular horizontal velocity

Can anyone tell me what the actual relationship between the 2 variables is so that i have a good reference point. Other websites do not seem to offer a clear explanation.

Any help is greatly appreciated!

 

[Tusike]

What do you mean by circular horizontal velocity? Do you mean that given a constant force F, what is the max velocity of a mass m object that this force will keep in a circular motion?

Unless you specify that the radius of the motion is constant as well, there's no real answer to this, as you can take the object really far away and have it move at any velocity you want, keeping the force F (=mv^2 / r)

If the radius r is constant, then of course from the above equation, v = sqr(F*r / m). So if F and r are constant, that formula will describe how the maximum velocity depends on the mass.