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 [s^2]. What might this translate to for a measurement of the length offset systematic in all the length measurements? Length Offset =[mm] .011

Answer 1

Answer:

The length is 5.2 mm.

Explanation:

Given that,

Time period T²= 0.021 s²

Gravity due to acceleration = 9.78 m/s²

We need to calculate the length

Using formula of time period of pendulum

$T=2\pi\sqrt{\dfrac{l}{g}}$

$l=\dfrac{gT^2}{4\pi^2}$

Where, l = length

g = acceleration due to gravity

T = time period

Put the value into the formula

$l=\dfrac{9.78\times0.021}{4\times\pi^2}$

$l=0.0052\ m$

$l=5.2\ mm$

Hence, The length is 5.2 mm.