If the unicorn seat on a merry-go-round is 5 feet from the center, and the merry-go-round completes a full rotation in 6 seconds, how many feet does the unicorn travel in one second?
2pi*5 ft / 6s = 5pi/3 ft/s
When did you ever see a carousel make a complete turn in 6 seconds?!?!? Talk about dizzying!
To calculate the distance the unicorn travels in one second, we need to determine the circumference of the circle it travels. The circumference is the distance around the circle and can be found using the formula:
Circumference = 2π * Radius
In this case, the radius is 5 feet. Thus, the circumference can be calculated as follows:
Circumference = 2π * 5
= 10π feet
Now, since the merry-go-round completes a full rotation in 6 seconds, the unicorn travels the circumference of the circle in that time. Therefore, the distance traveled by the unicorn in one second can be found by dividing the circumference by the time taken:
Distance traveled in one second = Circumference / Time taken
= 10π / 6
≈ 5.24 feet
Hence, the unicorn travels approximately 5.24 feet in one second.