Answer :
Answer:
about 659.73 meters
Step-by-step explanation:
You want to know the distance traveled in 1 hour by the tip of a 105 cm pendulum swinging 5° either side of center with a period of 2 seconds.
Arc length
One complete cycle of the pendulum is an arc of measure 4×5° = 20°, or ...
(20°) × (π/180°) = π/9 . . . radians
This is the arc covered in 2 seconds. The arc measure traveled in 1 hour, or 3600 seconds is ...
(π/9)/(2 s) × (3600 s) = 200π . . . radians
The distance traveled is given by ...
s = rθ
s = (1.05 m)(200π) = 210π m ≈ 659.73 m
The tip of the pendulum travels about 659.73 meters in 1 hour.
