Posted by **Jonathan** on Wednesday, March 13, 2013 at 7:04pm.

The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in meters, L, through the equation:

T=2π√((L)/(9.8)) [it is all under square root]

Q1: write in function notation

Q2: state the domain of this function

Q3: Graph the function pendulums up to 20 m in length

Q4: when T = 10, how long would the pendulum be

Q5: If the pendulum was twice as heavy, what would T be?

- math -
**Reiny**, Wednesday, March 13, 2013 at 8:20pm
T(L) = 2π √(L/9.8)

domain: any positive value of L

graph: you'll have to do this, by making a table of values, pick any L, use your calculator to find T

plot all your (L,T) s

when T = 10

10 = 2π √(L/9.8)

square both sides

100 = 4π^2 (L/9.8)

980/(4π^2) = L = 24.824 m

The weight of the pendulum is not a factor, T would be the same.

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