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BARSIC [14]
3 years ago
7

A uniform thin rod is hung vertically from one end and set into small amplitude oscillation. If the rod has a length of 3.6 m, t

his rod will have the same period as a simple pendulum of length ____ cm. Round your answer to the nearest whole number.
Physics
1 answer:
salantis [7]3 years ago
3 0

Answer:

The length of the simple pendulum is 2.4 meters.

Explanation:

Time period of simple pendulum is given by :

T=2\pi\sqrt{\dfrac{L}{g}}

L is the length of pendulum

The time period of the rope is given by :

T=2\pi\sqrt{\dfrac{2L'}{3g}}

L' is the length of the rod, L' = 3.6 m

It is given that, the rod have the same period as a simple pendulum and we need to find the length of simple pendulum i.e.

2\pi\sqrt{\dfrac{L}{g}}=2\pi\sqrt{\dfrac{2L'}{3g}}

On solving the above equation as :

\dfrac{L}{g}=\dfrac{2L'}{3g}

L = 2.4 m

So, the length of the thin rod that is hung vertically from one end and set into small amplitude oscillation 2.4 meters. Hence, this is the required solution.

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