Thermal Expansion -- Pendulum of a Grandfather Clock 1. The problem statement, all variables and given/known data The pendulum in a grandfather clock is made of brass (coefficient of linear expansion = 19 x 10^-6) and keeps perfect time at 17 degrees Celsius. How much time is gained or lost in a year if the clock is kept at 28 degrees Celsius? (Assume the frequency dependence on length for a simply pendulum applies.) 2. Relevant equations T = 2pi * sqrt(L/g) delta L = alpha*L(naught)*delta T L = L(naught)*(1 + alpha*delta T) 3. The attempt at a solution I really don't know where to even start with this. Once given a push in the right direction, I should be ok. But I just don't get the relationship.