Thread: Algebra II

1.) The period for the pendulum in a clock is givin by: T(L)=2(3.14)√L/32, where T(L) is the period in seconds and L is the length in ft.
a) Find the period of a pendulum that is 18 inches long

b) find the period of a Foucault pendulum that is 72 ft. long

c) How long is the pendulum that has a period of 7.5 seconds?


Thank you :]

Originally Posted by ep78

1.) The period for the pendulum in a clock is givin by: T(L)=2(3.14)√L/32, where T(L) is the period in seconds and L is the length in ft.
a) Find the period of a pendulum that is 18 inches long

b) find the period of a Foucault pendulum that is 72 ft. long

c) How long is the pendulum that has a period of 7.5 seconds?


Thank you :]

For the first two, substitute the lengths into the equation.

a) Note that we need to convert the length from inches to feet:

Thus,

Just plug this into a calculator, where

b)

Just plug this into a calculator, where

c) Here, we know that , but we want to find L:



Now plug in T=7.5 and plug this into your calculator:

, where

Does this make sense?

--Chris

very much so..thanks so much!