What are the coordinates of this using a trigonometrical unit circle?

Question

A Ferris wheel that has a diameter of 40 feet makes one revolution every two minutes. What is the speed of the seat on the rim of the wheel (miles per hour)? If you are the last person to get on the Ferris wheel, what will the coordinated of you location be after 3 minutes? (Assume that t=0 you are at the lowest point on the rise.)

This question is for all math whizes

Answer 1

After 3 minutes you will have done 1 and a half revolutions (therefor be at the top of the ferris wheel)

So y = 40 x = 0

Answer 2

V = D / T

V = (40*pi) ft / 2min * 60 min/hr / 5280 ft/miles = 45 * pi / 198 miles/hr.

After 3 minutes, you'll be at (60*pi, 40). This is 1½ revolutions.

By the way, the last question assumes infinite accelleration at the onset of the ride, which would crush the rider. :-)

Answer 3

we know that 1mile = 5280 feets;
we also know according to given problem that he travels 1 rev. in 2min
circumference of the circle=2pie*r=2*pie*20=125.66 feet
convert it into miles= .023799 miles
ten change time into hrs.=2/60=1/30 hrs
speed we know = dis/time=.0237*30=.71399 miles/hr
location of the person after 3min;
as it revolves and complete the cycle in 2 min so it will be back to its original position and in 1 min will complete the half cycle
that is at the top position coordinates will be of 90 degrees
(cos90, sin 90)
(0,1)