- #1
Senjai
- 104
- 0
Homework Statement
A Ferris Wheel with a radius of 25.3m makes two rotations per minute.
A) Find the average angular speed of the Ferris wheel in radians per second.
B) How far does a rider travel if the ride lasts 5 minutes?
The Attempt at a Solution
A) I got this question after a little bit of trial and error. i stated one rotation was 360 degrees which is equivalent to [tex]2\pi[/tex] Radians. It rotated twice per minute, so i stated that it rotated [tex]4\pi[/tex] radians per minute, my final equation to solve for the angular velocity was:
[tex] \frac{4\pi}{60} \cong 0.21 radians[/tex]
B) I can't seem to get this answer. My answer is 794.82, if i multiply it by 2 i get the correct answer so i don't understand where I am missing the 2. the correct answer is 1590 m.
i started with this equation
[tex] \frac{10\pi}{2\pi} = \frac{d}{2\pi r} [/tex]
after some mismatching i canceled out the common term of 2 pi on both sides and got:
[tex] d = 10\pi r [/tex] which yields the aforementioned answer. Does anyone know what I'm missing?
Thanks,
Senjai