Answer: it swings 138 feet in 1 minute
Step-by-step explanation:
The back and forth movement of the pendulum represents the length of the arc of the circle.
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = length of pendulum = 18 feet
θ = 44°
Length of arc = distance moved by the pendulum in one direction.
Therefore,
Length of arc = 44/360 × 2 × 3.14 × 18
Length of arc = 13.816 feet
The pendulum makes one back and forth swing every 12 seconds. It means that the distance it covers in one back and forth movement is
13.816 × 2 = 27.632 feet
If the pendulum swings 27.632 feet in 12 seconds, then
In 60 seconds(1 minute), the distance covered would be
(60 × 27.632)/12 = 138 feet
