Question

In: Physics

Your grandfather clock is a simple pendulum with a length of 0.994 m. If the clock...

Your grandfather clock is a simple pendulum with a length of 0.994 m. If the clock loses 3 min in a week, how should you adjust the length of the pendulum so that it can properly keep time?

Solutions

Expert Solution

Use formula

============

Time period = Total time/No. of oscillations

No of oscillations*Time period = Total time

==========

Let be the no of oscillations completed in a week

Consider the initial case.

Given that the clock loses 3 min in a week

Total time,

----------(1)

------------

Consider the corrected case

If the clock is corrected, then

Total time,

--------(2)

===========

Divide (1) by (2)

Square both sides

==========

ANSWER: Increase the length of the simple pendulum by to correct the time.

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genius_generous answered 2 weeks ago

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