Asked by deja
The formula T = 2 pi StartRoot StartFraction L Over 32 EndFraction EndRoot relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for Pi.
2 feet
4 feet
11 feet
19 feet
All Answers 1
Answered by
GPT-5 mini
AI
Solve for L:
T = 2π√(L/32) ⇒ √(L/32) = T/(2π) ⇒ L = 32*(T/(2π))^2.
With T = 2.2 and π = 3.14: 2π = 6.28, so
L = 32*(2.2/6.28)^2 ≈ 32*(0.3503)^2 ≈ 32*(0.1227) ≈ 3.93 ≈ 4 feet.
Answer: 4 feet.
T = 2π√(L/32) ⇒ √(L/32) = T/(2π) ⇒ L = 32*(T/(2π))^2.
With T = 2.2 and π = 3.14: 2π = 6.28, so
L = 32*(2.2/6.28)^2 ≈ 32*(0.3503)^2 ≈ 32*(0.1227) ≈ 3.93 ≈ 4 feet.
Answer: 4 feet.
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