The period, T, of a pendulum is related to the pendulum's length, L and the constant acceleration of gravity, g, by the equation


A student has measured the period of a pendulum for various lengths and wants to linearize the data to extract directly the acceleration of gravity as the slope of a straight line. To get this straight line, the student must ...
Answer

Plot L / T2 vs. 4π2

Plot g T2 vs. 4π2 L

Plot T vs. 2πL1/2

Plot T2 vs. 4π2 L

Plot 4π2 L vs. T2

1 answer

T = 2 pi sqrt (L/g)
T^2 = 4 pi^2 L / g

g = 4 pi^2 L/T^2
(your final choice)