Respuesta :
The length of the pendulum is equal to 1.35 m.
What is a simple pendulum?
A simple pendulum can be described as a mechanical arrangement that exhibits periodic motion. The simple pendulum is made of a small bob of mass ‘m’ suspended by a thin thread hung at its upper end of length L.
The simple pendulum moves in an oscillatory motion and the motion occurs in a vertical plane which is driven by the gravitational force.
The time period of the pendulum is given by:
T = 2π√(L/g)
Where L is the length and g is the gravitational acceleration.
Given, the time period of a pendulum, T = 3.5 s
Then the length of the pendulum can be calculated as:
[tex]{\displaystyle 3.5 = 3\times 3.14 \sqrt{\frac{L}{9.8} }[/tex]
(0.37)² = L/9.8
L = 1.35 m
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