Question

Show that the equation 𝑣=√t/μ

does give the

appropriate units for velocity.

Answer 1

Given:

$$v=\sqrt{T/\mu}$$

$$[v]=[N]^{1/2}[kg/m]^{-1/2}=[kg\cdot m/s^2]^{1/2}[kg/m]^{-1/2}$$

$$[v]=[m^2/s^2]^{1/2}=m/s$$