Question

A ferris wheel has a diameter of 100m and the bottom of the wheel is 4m above the ground. It rotates two times every 10 minutes. Using this information, complete each question.

c) Determine the angular velocity of the Ferris wheel in radians/second
d)How far (in meters) has the Ferris wheel travelled after 6 min?

Thank you, any help is really appreciated!

Answer 1

d) With a d=100 we know that the distance the wheel travels C=pi(d) so
c=3.14159(100m)
c=approx 314m to go around the ferris wheel once.
But you can go twice 314(2) in 10 min
so...
setting up a proportion
distance/time = distance/time
618m/10min = x/6 min
and solve for x

Answer 2

two turns every 10 minutes means

2rev/10min * 2πrad/rev * 1min/60s = 4π/600 rad/s

Answer 3

Thank you both so much!