You are on a spinning ride at a carnival. If the ride spins at a rate of 90 rev/min, and you are 5.8 m from the axis of rotation, how far in km have you traveled during the ride if the ride lasts 15 min?

Answer 1

First, we need to calculate the circumference of the circle that you travel on during each revolution. This can be calculated using the formula:

circumference = 2 * π * radius

circumference = 2 * π * 5.8m
circumference = 36.46m

Next, we can calculate the distance traveled during one minute by multiplying the circumference by the rate of rotation:

distance per minute = 36.46m * 90 rev/min
distance per minute = 3281.4m

Finally, we can calculate the total distance traveled during the 15-minute ride:

total distance = 3281.4m * 15 min
total distance = 49,221m

Converting this to kilometers:

total distance = 49,221m / 1000
total distance ≈ 49.221 km

Therefore, you have traveled approximately 49.221 km during the 15-minute ride on the spinning ride at the carnival.