When a pendulum clock is taken from sea level to the top of a high mountain it will

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Problem 7Q

Problem 7Q

If a pendulum clock is accurate at sea level, will it gain or lose time when taken to high attitude? Why?

Step-by-Step Solution:

Step 1 of 1

The equation for pendulum motion is:

As we gain altitude the value of the constant of gravity ‘g’ decreases.

If a pendulum clock that is accurate at sea level is taken to a high altitude it will slow down. The time period is inversely proportional to the square root of ‘g’.

When ‘g’ decreases Time period ‘T’ increases.

So the clock will slow down.

Step 2 of 1

Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204. This full solution covers the following key subjects: accurate, attitude, clock, gain, high. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Since the solution to 7Q from 11 chapter was answered, more than 1958 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 7Q from chapter: 11 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “If a pendulum clock is accurate at sea level, will it gain or lose time when taken to high attitude? Why?” is broken down into a number of easy to follow steps, and 21 words. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6.

The time period of a simple pendulum is given by

When the pendulum is taken to the top of mountain, the value of ‘g’ will decrease and hence time period will increase. As the pendulum takes more time to complete one vibration, it will lose time.

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Text Solution

Solution : At high altitude, the value of acceleration due to gravity (g) is less than its value on the surface of the earth. As time period of a period of a simple pendulum `T = prop (1)/(sqrt(g))`, it will increase with the decrease in value of g. So, it will take more time for the pendulum clock to complete one oscillation and hence, it will lose time.