A student conducted an experiment to measure acceleration due to gravity (g) of a simple pendulum. The data obtain are as follows: - (( Time for 20 oscillations (T) )) - ((24.1)) - ((32.4)) - ((40.1)) - ((47.5)) - ((56.3)) Find the value of g using the graphical approach.

Question

A student conducted an experiment to measure acceleration due to gravity (g) of a simple pendulum. The data obtain are as follows: <> - (( Time for 20 oscillations (T) )) <<0.35>> - ((24.1)) <<0.65>> - ((32.4)) <<1.00>> - ((40.1)) <<1.45>> - ((47.5)) <<1.95>> - ((56.3)) Find the value of g using the graphical approach.

anonymous · Answer

Just need an idea on how to do it. :) 
The given formula was:
$$T = 2pi \sqrt\frac{l}{g}$$

anonymous · Answer

Draw a graph of l with respect to T^2.You'll get a straight line passing through origin.The slope of this line is:$$g/(2pi)^{2}$$ You can calculate g using this.

anonymous · Answer

|dw:1336724261002:dw|
note:the graph will not be in the fourth quadrant.i made a mistake