In an experiment

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

In an experiment, a researcher suggests that torque can be modeled by the empirical expression

\tau = k\,m^{\,a} r^{\,b} v^{\,c}

, where

m

is mass,

r

is a distance,

v

is speed, and

k

is a dimensionless constant. Using dimensional analysis, determine the exponents

a

b

, and

c

that make the equation dimensionally consistent with torque. Give your answer in the form

(a,\,b,\,c)