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A simple pendulum with a period of 2 seconds can be used as a chronograph to measure time with great accuracy. A platinum wire attached to the bob completes the electric timing circuit through a drop of mercury as it swings though the lowest point. a. What should be the length, L, of the pendulum

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adelekeademolu

Answer:

0.994 m

Explanation:

For a simple pendulum, the period of oscillation is given by

[tex]T=2\pi\dfrac{\sqrt{L}}{g}[/tex]

wher L is its length and g s the acceleration due to gravity.

Rearranging the formula,

[tex]L=\left g(\dfrac{T}{2\pi}\right)^2[/tex]

T = 2

Take g = 9.81

[tex]L=\left 9.81(\dfrac{2}{2\pi}\right)^2[/tex]

[tex]L=\left 9.81(\dfrac{1}{\pi}\right)^2=0.994[/tex]

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