A pendulum clock giving correct time at a place where g = 9.800 m s^-2 is taken to another place where it loses 24 seconds during 24 hours, Find the value of g at this new place.

Question

A pendulum clock giving correct time at a place where g = 9.800 m s -2 is taken to another place where it loses 24 seconds during 24 hours, Find the value of g at this new place.

Philoid · Accepted Answer

9.795 m s^-2

When the clock is at g = 9.8 m/s² T = 2.00 sec

When clock is at g¹ it loses 24 seconds in 24 hours

We have T = 2∏ T₁ =

l = . g --------->1 = 2.000

This length does not change in the new place T₁²

l = (T₁²/4∏²). g₁--------->2

From 1 and 2

. g = . g₁

g₁ = (T² /T₁²) . g

=

= 9.746 m/s²

A pendulum clock giving correct time at a place where g = 9.800 m s-2 is taken to another place where it loses 24 seconds during 24 hours, Find the value of g at this new place.

A pendulum clock giving correct time at a place where g = 9.800 m s^-2 is taken to another place where it loses 24 seconds during 24 hours, Find the value of g at this new place.