mamaDee8754 mamaDee8754
  • 13-01-2021
  • Physics
contestada

Find the length of a simple pendulum that has a period of 1.00 s. Assume that the acceleration of gravity is g

Respuesta :

onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 18-01-2021

Answer:

The length of the simple pendulum is 0.248 m.

Explanation:

Given;

period of the simple pendulum, T = 1.00 s

let the length of the simple pendulum = L

The period of oscillation of a simple pendulum is calculated as;

[tex]T = 2\pi \sqrt{\frac{l}{g} } \\\\\frac{T}{2\pi } = \sqrt{\frac{l}{g} }\\\\\frac{T^2}{4\pi ^2 } = \frac{l}{g}\\\\l = \frac{gT^2}{4\pi ^2 } \\\\l = \frac{(9.8)(1)^2}{4\pi ^2 } \\\\l = 0.248 \ m[/tex]

Therefore, the length of the simple pendulum is 0.248 m.

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