A simple pendulum has time period of 2s. It is called second pendulum. Fimd the length of second pendulum on earth and moon(gm=g

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2 years ago

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1 answer:

Margarita [4] · Answer 1 · 2024-02-12T06:06:27+03:00

The length of the second pendulum on earth is 1m and on the moon 1/6m.

Given:

The time period of a second pendulum T = 2s

By using the formula T = 2π √l/g we can calculate the length of the pendulum on earth and the moon.

Here g = acceleration due to gravity and

l = the length of the pendulum.

Now

l = g(T/ 2π)^2

l = 9.8 m/s^2(2s / 2 x 3.14)^2

le = 1 m

Now calculate the length of the pendulum on the moon

T = 2π √lm/gm ∴ gm = ge/6

Now putting the value of g we get.

or 2 = 2 π √lm / ge/6

2 = 2 π √6lm / π ^2le

lm = le/6

now given le = 1m

lm = 1/6 m

Thus the length of the second pendulum on earth is 1m and on the moon 1/6m.

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