Best clock?

Question

Compare the performances of two clocks. The first clock is based on a single
pendulum, the second on a torsional pendulum. Assume that the clocks are calibrated
to show the correct time at a certain point. Compare the performances when the clock
are taken to a different environment where
a) The elevation is different
b) Humidity is different
c) Temperature is different

Answer 1

Interesting
Assuming no air resistance.

a) The elevation is different
Gravity may be effected then;

Simple pendulum is effected period T=2 pi sqrt ( l /g) since acceleration due to gravity (g) will become less and length of the string (l) remains unchanged.

Torsional pendulum seems to be unaffected T= 2 pi sqrt (I/k)
where I is the moment of inertia and k is the torsion constant.

b) Humidity is different
No effect

c) Temperature is different
The torsion k will change and the string for a pendulum may become just a little longer.