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14 May, 04:10

The period

T

of a simple pendulum is the amount of time required for it to undergo one complete oscillation. If the length of the pendulum is

L

and the acceleration of gravity is

g

,

then

T

is given by

T

=

2

π

L

p

g

q

.

Find the powers

p

,

q

required for dimensional consistency.

+4
Answers (1)
  1. 14 May, 06:00
    0
    Answer: p = - {1/2}, q = {1/2}

    Explanation: The frequency of oscillation of a pendulum is given as

    F = 1/2π * √{l/g}

    Where √ is square root

    l is lenght

    g is acceleration due to gravity

    But

    F = 1/T

    Where T is the period of Oscillation

    Making T subject of formula we have

    T = 1/F

    T = 2π√{g/l}

    Here the power on l is - [1/2] = p

    Also,

    Power on g is 1/2 = q

    All because of the square root.
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