The displacement of a particle is written empirically as

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

Problem

x = A \sin \omega t + B v

, where

A

and

B

are constants,

\omega

is angular frequency,

t

is time and

v

is the instantaneous speed of the particle. Determine the dimensions of the constant

B

so that both terms on the right-hand side are comparable.