The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 5 feet and the angle through which it swings is 22°, how far does the tip of the pendulum travel in 1 second?
A)1.92 feet
B)1.52 feet
C)1.62 feet
D)2.12 feet
E)1.82 feet

Question

The pendulum on a grandfather clock swings from side to side once every second. If the length of the pendulum is 5 feet and the angle through which it swings is 22°, how far does the tip of the pendulum travel in 1 second? ​
A)1.92 feet
B)1.52 feet
C)1.62 feet
D)2.12 feet
E)1.82 feet

Quizplus · Accepted Answer

The distance traveled by the tip of the pendulum in one second is equal to the length of the arc it swings through. The length of the arc can be calculated using the formula:```s = r * θ```where:* s is the length of the arc* r is the length of the pendulum* θ is the angle through which the pendulum swingsIn this case, the length of the pendulum is 5 feet and the angle through which it swings is 22°. So, the length of the arc is:```s = 5 feet * 22° * (π/180°) = 1.92 feet```Therefore, the tip of the pendulum travels 1.92 feet in 1 second.

The Pendulum on a Grandfather Clock Swings from Side to Side