Question

The function L = 0.8T^2 models the relationship between L, the length in feet of a pendulum, and T, the period in seconds of the pendulum. Which value is closest to the period in seconds for a pendulum that is 30 ft long?

a 5.4s
b 4.9s
c 6.8s
d 6.1s

Answer 1

The correct option is "d".
Given that L = 0.8T²
length of pendulum = 30ft

L= 0.8T²
30 = 0.8T²
T² = 30 / 0.8
T² = 37.5
T = √37.5 = 6.1 seconds
So, 6.1 is the closest to the period in seconds for a pendulum that is 30 ft long.