The time for one complete swing of a pendulum can be modeled by the formula P=2π√L/32 where L represents the length of the pendulum in feet and P represents the period of the pendulum in seconds. If the pendulum's period is 2.4 seconds, which of the following best represents the length of the pendulum? A. 1.7 ft

B. 5.4 ft

C. 4.7 ft

D. 4.4 ft

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

Step-by-step explanation:

two ways to get this

1 by unit analysis

l / g → m / (m/s^2) → s^2  

so you'd need  

root of l/g to get s (time units)

2

from the formula

T = 2 pi sqrt(L/g)

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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step-by-step explanation: