SOLUTION: the length of a pendulum is directly proportional to the square of the time it takes for the pendulum to make one complete swing.if a 20 inch long pendulum takes about 5 seconds to

Question 725848: the length of a pendulum is directly proportional to the square of the time it takes for the pendulum to make one complete swing.if a 20 inch long pendulum takes about 5 seconds to swing through one complete cycle, then find the model that relates the length L of the pendulum to the time period T of the pendulum
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the length of a pendulum is directly proportional to the square of the time it takes for the pendulum to make one complete swing.
L = k*t^2
------------------------
if a 20 inch long pendulum takes about 5 seconds to swing through one complete cycle
20 = k*5^2
k = 4/5
----
then find the model that relates the length L of the pendulum to the time period T of the pendulum
------
Equation for that pendulum:
L = (4/5)t^2
-------
Cheers,
Stan H.

RELATED QUESTIONS
the time it takes for a pendulum to complete one full swing is called its period. the... (answered by checkley77)

The length of a pendulum varies directly as the square of the time in seconds that it... (answered by josmiceli)

The period of a pendulum (T) is the amount of time in seconds it takes the pendulum to... (answered by ptaylor)

The time T (in seconds) required for a pendulum to make one complete swing back and forth (answered by ikleyn)

I have another word problem I understand but I don't understand.... The period of a... (answered by stanbon,funmath)

I am completely lost on this one,I know how to do the equations except for when it comes... (answered by mananth)

The bob of a simple pendulum takes 0.25 second to go from one extreme position to the... (answered by ikleyn)

The period of a simple pendulum is directly proportional to the square root of its... (answered by funmath,josmiceli)