Question

A ferris wheel has a diameter of 110 meters. If the ferris wheel makes one full revolution every 20 minutes, how far does a car on the wheel travel in 5 minutes?

Answer 1

5 is 1/4 of 20. and a circle is 360 degrees. you just need to find the arc length

Answer 2

Wouldn't the arc length be 90 degrees?

Answer 3

no that would be theta. the arc length would be radius * theta

Answer 4

Then 55*90.. but that's 4950

Answer 5

since the circle has a diameter of 110 meters, recall that the radius of a circle is half of that, so the radius of this Ferris wheel is 55 meters, okay, we know that the circumference of the wheel is\[2\pi r\]that means that your circumference is\[2\pi (55)=110\pi \]since the cart in question only travels a fourth of the entire distance, divide the circumference by 4 and bam, you have how far it traveled in the 5 minutes, since as mentioned, 20/5=4 meaning the cart only traveled a fourth of the total distance

Answer 6

with arc length i think you need to be in radians

Answer 7

27.5 radians?

Answer 8

90 degrees in radians would be pi/2