Question

 A pendulam swings through an angle 60° and describes an arc 8.8cm in length. Find the length of the pendulum.​

Answer 1

Answer:

Length of Pendulum 8.4 CM

Step-by-step explanation:

Let the length of the pendulum  be r

We know that

Length of the arc, L is

L = $\frac{∅}{360}$ x 2$\pi r$

Here L is given as 8.8 CM

∅ = $60^{0}$

ie 8.8 = $\frac{60}{360}$2 x $\pi r$

ie 8.8 = $\frac{1}{6}$ x 2 $\pi r$

8.8 = 1/3$\pi r$

3 x 8.8 = $\pi r$

26.4 = $\pi r$

r = $\frac{26.4}{\pi}$

$\pi$ = 22/7

r = 26.4 x 7/22

r = 8.4CM