# Simple harmonic oscillators and a pendulum clock.

Hey physics forums, this is my first post and frankly I'm having trouble conceptualizing this problem. I know harmonic oscillation is involved, as it is a pendulum. However, I know I have to incorporate g into the s.h.o. equation and I'm not quite sure how to do that. Any help would be greatly appreciated.

## Homework Statement

A pendulum clock which keeps correct time at a point where g=9.8 m/s^2 is found to lose 10 seconds per day at a higher altitude where the gravitational field now has a new value g(n). What is the numerical value of this g(n)?

## Homework Equations

This is from the force diagrams I've drawn.
Tcos(theta)-mg=ma(x)
Tsin(theta)=ma(y)

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PeterO
Homework Helper
Hey physics forums, this is my first post and frankly I'm having trouble conceptualizing this problem. I know harmonic oscillation is involved, as it is a pendulum. However, I know I have to incorporate g into the s.h.o. equation and I'm not quite sure how to do that. Any help would be greatly appreciated.

## Homework Statement

A pendulum clock which keeps correct time at a point where g=9.8 m/s^2 is found to lose 10 seconds per day at a higher altitude where the gravitational field now has a new value g(n). What is the numerical value of this g(n)?

## Homework Equations

This is from the force diagrams I've drawn.
Tcos(theta)-mg=ma(x)
Tsin(theta)=ma(y)