Question

Length L (m) Time period T(sec) 0.8 0.3 0.45 0.61 0.75 0.91 1.03 1.2 1.35 1.3 1.7 1.9 2.0 2.2 2.3 The time period (time for one oscillation) of a simple pendulum depends on the length of pendulum. This above data set includes time periods T for different length of pendulum. Show the final form of functional dependence of time period T on L. For functional dependence, repeat the analysis using pre-made graph to find value of n.

Answer 1

The time period of a simple pendulum is given by   

$T=2\pi \sqrt{\frac{L}{g}}$           

Hence $T^{2}$ is proportional to $L$. We can check this by plotting $T^{2}$ vs $L$ using the data given.