Hi! I have been racking my brain trying to solve the relationship between the effect of temperature increase and the change in period of a pendulum. I am suppose to prove a relationship, and am given that the relationship is delta(P) = 1/2*alpha*Pinitial where alpha is the coefficient of linear expansion with temperature. We are given that we are dealing with a simple pendulum, so the period is equal to 2*pi*sqrt(L/g) I know the pendulum length will change under change of temperature to alpha*L*delta(T), for a total new length of L+alpha*L*delta(T) the change in period then I would guess is: delta(P) = 2*pi*sqrt((L+alpha*L*delta(T)/g) - 2*pi*sqrt(L/g) I have tried to simplify this a dozen different ways but I never seem to get the required end formula. I think I can pull out Pinital by dividing everything by 2*pi*sqrt(L/g) to get delta(P) = Pinitial*(sqrt(1+alpha*delta(T))-1) but am stuck after that. thanks for any help! p.s. is there a summary list for the symbol set this forum uses to generate symbols like pi, square roots etc?