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11 June, 17:02

The period P of a pendulum depend on its length, mass as well as the acceleration due to gravity. Use dimensional analysis to show that equation for P has the form

=√

where is a dimensionless costant.

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  1. 11 June, 17:05
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    Period P has units of seconds (s).

    Length has units of meters (m).

    Mass has units of kilograms (kg).

    Acceleration has units of meters per second squared (m/s²).

    Dimensional analysis:

    s = √ (m / (m/s²))

    Therefore:

    P = k √ (L/g)

    where k is a dimensionless constant.
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