pendulum
(a) How long do you make the cable?
m
(b) Suppose the cable stretches a bit from the weight on the end. Will the clock run fast or slow?
Homework Answers
Time period = 1 second
T = 2pi ( l/g)^0.5
length = l = 0.248 meters
b.
Clock runs slow !!
P=2pi*sqrt(l/g)
where P=period
pi=pi
l=length of the pendulum
g=acceleration from gravity (9.8m/s2)
You want to know the length, so solve for l.
l=(g*P^2)/(4pi^2)
You know:
g=9.8m/s2
P=2s
pi=3.14159...
b. If the string streched, then l will be higher, causing P to be higher. This means that the pendulum will swing faster.
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