Question

a displacement is related to the time as
x=Asin(2[pi]ft), where A and f are constants. find the dimensions of A. (HINT: A trig function appearing in an equation must be dimensionless.)

Answer 1

\[x[\text{m}]=A[\text{m}]\sin(2\pi\times f[\text{Hz}] \times t[\text{s}])\]

Answer 2

\[[\text{Hz}] =[\text{s}]^{-1}\]

Answer 3

is this simple harmonic motion? o.O

Answer 4

yes