The formula 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 . 2 feet 4 feet 11 feet 19 feet

Respuesta :

Answer: 4 feet (approx)

Step-by-step explanation:

Since, We know that the length of pendulum,

[tex]L= \frac{g.T^2}{4\pi^2}[/tex]

Where L is the length of pendulum

T is the period,

And, g is the gravitational acceleration.( g=9.8 [tex]m^2/sec[/tex])

Here, T= 2.2 seconds

Thus, Length of pendulum,[tex]L= \frac{9.8\times (2.2)^2}{4\times (3.14)^2}[/tex] = 1.20268570733 meter

1 meter= 3.28 ( approx)

Thus L= 1.20268570733 ×3.28 feet =3.94480912005 feet ≈4 feet


Answer:

The answer is B. 4 feet

Step-by-step explanation:

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