Question

`5.5=2\pi \sqrt{(L)/(9.8)`

Answer 1

The length, L = 7.52 m.

Explanation:

The given expression is

`5.5= 2 \pi \sqrt(L)/(9.8)\\\\Sqauring on both the sides\\\\5.5 * 5.5 = 4\pi^2 * (L)/(9.8)\\\\L = 7.52 m`

The value of length is 7.52 m.

Answer 2

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Answer:

7.51 m

Explanation:

The equation matches that required for finding the length of a pendulum that has a period of 5.5 seconds. We can solve for L to find the length.

`5.5=2\pi\sqrt{(L)/(9.8)}\\\\(5.5)/(2\pi)=\sqrt{(L)/(9.8)}\\\\\left((5.5)/(2\pi)\right)^2=(L)/(9.8)\\\\L=74.1125/\pi^2\approx7.509`

The length of a pendulum with period 5.5 seconds is about 7.51 meters.