The number of swings back and forth of a pendulum of length L, in inches, each minute is 375 √ L. how many swings can a 49 inch pendulum make in 2 minutes, and a 38 inch pendulum in 2 minutes.

Question

math

Answer 1

The number of swings back and forth of a pendulum each minute is given as 375√L, where L is the length of the pendulum in inches.

1. For a 49-inch pendulum:

Number of swings in 2 minutes = (375√49) swings per minute × 2 minutes

Number of swings = 375 × 7 × 2 = 5250 swings

2. For a 38-inch pendulum:

Number of swings in 2 minutes = (375√38) swings per minute × 2 minutes

Number of swings ≈ 375 × 6.1644 × 2 ≈ 4647 swings (rounded to the nearest whole number)

So, a 49-inch pendulum can make 5250 swings in 2 minutes, and a 38-inch pendulum can make approximately 4647 swings in 2 minutes.