Question

Let's say you have a plot for Pendulum experiment. Let's assume g for this experiment was measured (from the slope of the plot) to be 9.78 [ms-2. The vertical intercept, however, is 0.021 [s2]. What might this translate to for a measurement of the length offset systematic in all the length measurements?

Answer 1

Answer:

0.0052 m

Explanation:

$T^2=0.021\ s^2$

g = Acceleration due to gravity = 9.78 m/s²

Time period

$T=2\pi \sqrt{\frac{L}{g}}\\\Rightarrow T^2=4\pi^2 \frac{L}{g}$

$\Rightarrow L=\frac{T^2g}{4\pi^2}$

$\Rightarrow L=\frac{0.021\times 9.78}{4\pi^2}\\\Rightarrow L=0.0052\ m$

The length of the pendulum is 0.0052 m