Answer to Question #173804 in Classical Mechanics for Lammy

Question

Suppose we are told that the acceleration a of a particle

moving with uniform speed v in a circle of radius r is

proportional to some power of r, say r, and some power

 n

of v, say vm. Determine the values of n and m and write

 the simplest form of an equation for the acceleration.

Answer 1

Answer

Acceleration in uniform circular motion is given by

$a=\frac{v^2}{r}$

So by comparison

n=-1 and m=2