Use dimensional analysis ?

Question

Use dimensional analysis to determine how the linear speed (v in m/s) of a particle traveling in a circle depends on some, or all, of the following properties: r is the radius of the circle; ω is an angular frequency in s-1 with which the particle orbits about the circle, and m is the mass of the particle. There is no dimensionless constant involved in the relation. (Use r for radius, omega for ω, and m for mass in your answer, as necessary.)

Answer 1

omega = velocity divided by radius of path of particle

or

ω = v / r

then the linear speed of a particle travelling in a path of radius r is:

v = ω * r