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laila [671]
3 years ago
15

What is the approximate length of a pendulum that takes 2.4 pi seconds to swing back and forth?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Answer:

The length of the pendulum is 14.13 meters.

Step-by-step explanation:

The length of a pendulum is given by the formula, T = 2\pi \sqrt{\frac{L}{g} }, where T is the times period and L is the length of the pendulum.

Now, given that T = 2.4π seconds.

So, from the above equation, we get,

2.4\pi  = 2\pi  \sqrt{\frac{L}{g} }

⇒ \sqrt{\frac{L}{g}} = 1.2

⇒ \frac{L}{g} = 1.44 {We have the value of g as 9.81 m/sec²}

⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)

Therefore, the length of the pendulum is 14.13 meters. (Answer)

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