## anonymous one year ago In a simple pendulum graph, the value of the slope is equivalent to : 1.g(acceleration due to gravity) 2.L(length) 3.T(period) 4.Other(specify)

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1. Astrophysics

The pendulum graphs are often period squared vs. length, so if you put it together you should definitely get gravity.

2. Astrophysics

Note that the slope is $m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} } = \frac{ \Delta y }{ \Delta x }$

3. Michele_Laino

since, the formula for period T of a simple pendulum is: $\Large T = 2\pi \sqrt {\frac{L}{g}}$ we can write: $\Large {T^2} = \frac{{4{\pi ^2}}}{g}L$ so, if we make a plot where along the vertical axis, there are the values of T^2, whereas along the horizontal axis there are the values of the length L of the pendulum, then such plot is a straight line whose slope is the subsequent quantity: $\Large \frac{{4{\pi ^2}}}{g}$