Question

The end of a pendulum with a length of 21 cm travels an arc length of 24 cm. How many degrees does the pendulum swing?

Answer 1

It is given in the question that the end of a pendulum with a length of 21 cm travels an arc length of 24 cm.

So here radius is 21 cm and the arc length is 24 cm .

Now we use the arc length formula , which is

$s = r* \theta$

Where s is the arc length and r is the radius.

Substituting these values, we will get

$24 = 21 \theta \\ \theta = \frac{24}{21} \\ \theta = 1.143 radians$

And now we need to convert radian to degree, and for that we have to multiply by $\frac{180}{ \pi}$

That is

$1.143 * \frac{180}{ \pi} =65.48 degree$