Question

Suppose we are told that the acceleration (a) of a particle moving with uniform speed (v) in a circle of radius (r) is a = krnvm
Determine the values of n and m and write the simplest form of this equation.
Note: K is a dimensionless constant
“Show your work”

Answer 1

Answer:

n=1/r² and m=v

Explanation:

When, particle moves in uniform circular motion then it has centripetal acceleration which binds it in circular motion.

Here a is centripetal acceleration.

For particle moving with speed v, in a circle of radius r centripetal acceleration is a=v²/r.

a=v²/r=krnvm

Hence, n=1/r² and m=v.