Question

The period T of a simple pendulum is expressed by: √


where ‘l’ is
the length of the pendulum and ‘g’ is the acceleration due to gravity. Show
that the formula is dimensionally consistent

Answer 1

Explanation:

T = 2π√(L/g)

L has units of m.

g has units of m/s².

T = 2π √( [m] / [m/s²] )

T = 2π √( [m] × [s²/m] )

T = 2π √( [s²] )

T = [s]