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

Question

Mcmillan

23 October, 19:22

+1

Answers (1)

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Compton · Answer 1

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]

The period T of a simple pendulum is expressed by: √where 'l' isthe length of the pendulum and 'g' is the acceleration due to gravity. Showthat the formula is dimensionally consistent