The period (the time for one complete oscillation) of a pendulum is directly proportional to the square root of the length of the pendulum, and a pendulum of length 8 ft has a period of 2 seconds. Find a mathematical model expressing the period of a pendulum as a function of its length:
Why is the answer equal to?
and thanks
I presume x is the length of the pendulum.Originally Posted by ^_^Engineer_Adam^_^
The period (the time for one complete oscillation) of a pendulum is directly proportional to the square root of the length of the pendulum, and a pendulum of length 8 ft has a period of 2 seconds. Find a mathematical model expressing the period of a pendulum as a function of its length:
Why is the answer equal to
and thanks
We know that P(x) is proportional to, so let
where k is a constant.
Since a pendulum of 8 ft has a period of 2 seconds:
Thus
-Dan
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