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?
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.