Question

A pendulum swings through an angle of 4º each second. If the pendulum is 17 m in length and the complete swing from right to left takes 2 seconds, what is the area covered by each complete swing? Round to the nearest tenth of a square meter.

Answer 1

The area covered by each complete swing of the pendulum is 1.18346 square meters.

Step-by-step explanation:

The area covered by each complete swing of the pendulum can be calculated using the formula:

Area = (length of the pendulum) × (angle of swing in radians)

Given that the pendulum is 17 m in length and swings through an angle of 4º each second, we can calculate the angle of swing in radians as:

Angle = (4°)(2π/360°) = 0.0698 radians

Therefore, the area covered by each complete swing can be calculated as:

Area = (17 m)(0.0698 radians) = 1.18346 square meters

Answer 2

The area covered by each complete swing of the pendulum is approximately 0.374 square meters.

Step-by-step explanation:

To find the area covered by each complete swing of the pendulum, we need to determine the arc length of the swing. The arc length can be calculated using the formula:

Arc Length = (angle in radians) × radius

In this case, the angle is given as 4º, which is equivalent to 4/180 × π radians, and the radius is 17 m. So the arc length can be calculated as:

Arc Length = (4/180 × π) × 17 = 0.374 m

Therefore, the area covered by each complete swing of the pendulum is approximately 0.374 square meters.