anonymous
  • anonymous
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)
Physics
schrodinger
  • schrodinger
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Astrophysics
  • Astrophysics
The pendulum graphs are often period squared vs. length, so if you put it together you should definitely get gravity.
Astrophysics
  • Astrophysics
Note that the slope is \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} } = \frac{ \Delta y }{ \Delta x }\]
Michele_Laino
  • 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: \[\Large \frac{{4{\pi ^2}}}{g}\]

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