Respuesta :
The length of pendulum is 2.485 feet
Solution:
Given that,
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth
Therefore, the given formula is:
[tex]T=2\pi \sqrt{\frac{L}{32} }[/tex]
We have to find the length of pendulum that makes one full swing in 1.75 seconds
So the modify the given equation to find "L"
[tex]T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8[/tex]
Substitute T = 1.75 seconds and [tex]\pi = 3.14[/tex]
[tex]L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485[/tex]
Thus length of pendulum is 2.485 feet approximately
Answer:
B. 4 feet.
Step-by-step explanation:
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