Question

A child sits on a merry-go-round with a diameter of 4 meters. What is the child's linear velocity if the merry-go-round completes one revolution in 10 seconds?

a) 0.4 m/s
b) 0.8 m/s
c) 1.2 m/s
d) 1.6 m/s

Answer 1

The linear velocity of the child sitting on the merry-go-round with a diameter of 4 meters, as it completes one revolution in 10 seconds, is approximately 1.26 m/s.

Step-by-step explanation:

The linear velocity of the child on the merry-go-round can be calculated using the formula linear velocity = circumference / time. The linear velocity of the child sitting on the merry-go-round with a diameter of 4 meters, as it completes one revolution in 10 seconds, is approximately 1.26 m/s.

The circumference can be calculated using the formula circumference = π * diameter. Since the diameter is 4 meters, the circumference is 4π meters. Given that the merry-go-round completes one revolution in 10 seconds, the linear velocity is 4π / 10 ≈ 1.26 meters per second.

Therefore, the answer is not one of the options provided. The correct linear velocity of the child is approximately 1.26 m/s.