Asked by Gabriel

The Kit carson county carousel makes 3 revs per minute.

a. Find the linear velocity in feet per second of someone riding a horse that is 22 1/2 feet from the center.

Answer- I got 7.1 ft/s...

b. The linear velocity of the person on the inside of the carousel is 3.1 feet per second. How far is the person from the center of the carousel?

c. How much faster is the rider on the outisde going than the rider on the inside.

I need help with B and C. THanks!
Answered by Michael
My weak point is these angular and linear velocities. -_- Sorry, Gabriel.

If you tell me how you got the first answer (and are sure you're right), then maybe I could help.
Answered by Gabriel
For a, i multiplied 3 x 2pi x 22.5 and got 424.1

Then i divided 424.1 by 60 and got 7.1 ft/s
Answered by Michael
All right, the exact answer for the first one is (9pi/4)...

You did (6pi)(22.5)/60. That reduces to 22.5pi / 10.

The thing that is changing is 22.5.
(x)(pi) / 10 = 3.1
(x)(pi) = 31
x = 31/pi = 9.87 ft

For c, you're just subtracting 3.1 from 7.1 to get 4 ft/s.

I hope that's helpful. (I'm 90% sure it's right.)