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Q. 28

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 416

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Short Answer

What is the period of a -long pendulum on (a) the earth and (b) Venus?

The period of a -long pendulum on the Earth is

The period of a -long pendulum on the Venus is

See the step by step solution

Step by Step Solution

Step 1  Principles.

The period of an easy pendulum of length is given by,

where is that the acceleration of gravity.

Note that the amount of a straightforward pendulum depends only on its length and the magnitude of its constant of gravitation.

It doesn't rely upon the mass of the item hanging from the sting or the amplitude of vibration.

Step 2 Given data.

The length of the pendulum is:

Step 3  To find the value.

In part (a), we are asked to determine the period of the pendulum on the earth.

In part (b), we are asked to determine the period of the pendulum on Venus.

Step 4 Solution.

(a)

The period of the pendulum on the earth is found from Equation :

where on the earth.

Substitute numerical values:

(b)

The period of a pendulum of Venus is given by an equation :

where on Venus.

Substitute numerical values:

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