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

0.0052 m

Step-by-step explanation:

`T^2=0.021\ s^2`

g = Acceleration due to gravity = 9.78 m/s²

Time period

`T=2\pi \sqrt{(L)/(g)}\\\Rightarrow T^2=4\pi^2 (L)/(g)`

`\Rightarrow L=(T^2g)/(4\pi^2)`

`\Rightarrow L=(0.021* 9.78)/(4\pi^2)\\\Rightarrow L=0.0052\ m`

The length of the pendulum is 0.0052 m