What is the slope of the line equal to in terms of g and other appropriate const

Question

What is the slope of the line equal to in terms of g and other appropriate constants?

A pendulum bob will swing under the influence of a component of the gravitational force on the bob. The resulting motion is oscillatory with a period T = 2 pi squarerroot l/g Where T is the period of the motion, t is the length of the pendulum string, and g is the acceleration due to gravity. Assuming pendulum experiments are conducted on Earth, the period of oscillation of a pendulum depends only on the length of the string. More precisely the period goes as the square-root of the length of the string. If we square the relationship above, we get: T^2 = 4 pi^2 l/g, or T^2 = (4 pi^2/g)l.

Explanation / Answer

T2 = (4pi2/g)*L => if plot is made with T2 on y- axis and L on x-axis the slope will be (according to y = mx) =>

slope = m = (4pi2/g) = 4.024 s2/m

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