# Grandfather's Clock - Nonlinear Pendulum

## Homework Statement

A Grandfather's Clock is adjusted to keep perfect time if the amplitude is 2 degrees. How many seconds does it lose or gain in a year if instead the amplitude is 10 degrees.

## Homework Equations

T/4 = integral from 0 to qmax = dq/$$\sqrt{2E-q^2 - \epsilon/2*q^4}$$
where q is position
E= 1/2 (q'^2 + q^2) + $$\epsilon/4 * q^4$$

## The Attempt at a Solution

I started by converting 2 degrees and 10 degrees into radians and, then I took the difference I got 2*pi/45 , and made the integral from 0 to 2*pi/45 since we want to get the time difference between these angles, but I don't know where to go from here, and I don't know if what I did was right.

Thanks