A pendulum in a grandfather clock is 3 feet long and swings

A pendulum in a grandfather clock is 3 feet long and swings back and forth along a 6-inch arc. Approximate the angle (in degrees) through which the pendulum passes during one swing. (Round your answer to three decimal places.)

Solution

Arc length = Radius * (angle in radians)

s = r * theta

The pendulum is 3 ft long, i.e 3*12 = 36 inches long

And the arc length is 6 inches

So, we get :

6 = 36 * theta

theta = 6/36

theta = 1/6 radians

Now, to convert this to degrees, multiply by 180/pi....

theta = (1/6) * (180/pi)

theta = 9.549 degrees ----> ANSWER