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11 July, 09:14

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

+2
Answers (1)
  1. 11 July, 12:56
    0
    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]
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