The angle made by the string of a simple pendulum with the vertical depends on time as -1800sin2t- The length of the pendulum is approximately-

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Standard IX

Physics

Simple Pendulum

The angle mad...

Question

The angle made by the string of a simple pendulum with the vertical depends on time as $θ = (\frac{π}{1800}) sin (2 t)$ . The length of the pendulum is approximately:

1 m

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2.5 m

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1/4 m

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4 m

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Solution

The correct option is B 2.5 m
The angular frequency for a simple pendulam of length $l$ is given as $ω = \sqrt{g / l}$ . Here, $ω = 2$ .
So, $l = g / 4 = 10 / 4 = 2.5 m$

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The angle made by the string of a simple pendulum with the vertical depends on time as θ=(π1800)sin(2t). The length of the pendulum is approximately:

The correct option is B 2.5 mThe angular frequency for a simple pendulam of length l is given as ω=√g/l. Here, ω=2.So, l=g/4=10/4=2.5 m

The angle made by the string of a simple pendulum with the vertical depends on time as $θ = (\frac{π}{1800}) sin (2 t)$ . The length of the pendulum is approximately:

The correct option is B 2.5 m
The angular frequency for a simple pendulam of length $l$ is given as $ω = \sqrt{g / l}$ . Here, $ω = 2$ .
So, $l = g / 4 = 10 / 4 = 2.5 m$