Question

Your grandfather clock’s pendulum has a length of 0.9930 m. If the clock loses 95.6 seconds per day, by how many millimeters should you adjust the length of the pendulum?
bobpursley
Period=2PI sqrt(l/g)

with calculus..

dPeriod/dl=2PI 1/(2sqrtl/g)

dl=dperiod sqrt(l/g) *PI

dperiod=95.6/24*3600 second per second

change in length=sqrt(l/g)*PI*95.6/24*3600
= sqrt(.9930/9.81)*PI*95.6/24*3600
= I get = 0.00110594656 m
check my math.
snd dfmd

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