What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?
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Relationship between time period(
T
) and length (
L
) of the string of a pendulum is given as,
T
=
2
π
√
L
g
(where g is acceleration due to gravity on earth)
So,we can write,
T
=
2
π
√
g
√
L
Now,compare this with
y
=
m
x
So, Graph of
T
vs.
√
L
will be a straight line passing through origin,where slope=
tan
θ
=
2
π
√
g
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