# Question #d9863

Dec 24, 2016

#### Explanation:

Here the angle of swing to each side of vertical position is

$= {5}^{\circ} 53 ' = {\left(5 + \frac{53}{60}\right)}^{\circ} = \frac{\pi}{180} \times \frac{353}{60} r a \mathrm{di} a n$

We know

$\text{arc length"/"radius"="angle in radian}$

$\implies \text{arc length"="angle in radian"xx"radius}$

$\implies \text{arc length"=pi/180xx353/60xx16.9" inches"~~1.74" inches}$

This is the arc length of each side of the vertical position of the pendulum.

So total length of the arc through which the end of the pendulum swings is given by

$2 \times 1.74 = 3.48 \text{ inches}$