If a pendulum clock keeps perfect time in miami, will it run fast or slow in denver? explain.

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19-08-2022
Physics

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If a pendulum clock keeps perfect time in miami, will it run fast or slow in denver? explain.

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Yakavi Yakavi · Answer 1 · 2022-08-24T17:54:01+02:00

Compared to Miami, Denver's time will move more slowly. Going from Miami to Denver causes the value of g(gravitational acceleration) to decrease, increasing the value of the period of clock or T. The clock will run slower and oscillations will take longer when the period is increased.

The formula for the relationship between a pendulum's length, period of clock, and gravitational acceleration is: T = 2πL / g . According to this relationship, the period varies in direct proportion to the square root of the acceleration caused by gravity. So, less g values results to high period of clock or clock will run slower.

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