- #1
dmullin4
- 17
- 0
Thermal Expansion -- Pendulum of a Grandfather Clock
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.)
T = 2pi * sqrt(L/g)
delta L = alpha*L(naught)*delta T
L = L(naught)*(1 + alpha*delta T)
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.
Homework Statement
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.)
Homework Equations
T = 2pi * sqrt(L/g)
delta L = alpha*L(naught)*delta T
L = L(naught)*(1 + alpha*delta T)
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.