Posted by **Melissa** on Thursday, December 8, 2011 at 4:09pm.

Matthew is riding a ferris wheel at a constant speed of 10km/h. The boarding height for the wheel is 1m, and the wheel has a radius of 7m. What is the equation for the function that describes Matthews height in the terms of time, assuming Matthew starts at the highest point on the wheel

- math -
**Damon**, Thursday, December 8, 2011 at 4:17pm
center of wheel is 1 + 7 = 8 m above ground

cos (2 pi t/T) is max of +1 when t = 0

so h = 8 + 7 cos (2 pi t/T)

what is T, the period or time to go 2 pi radians?

speed = 10,000 meters/3600 seconds

= 2.78 m/s

distance around = 2 pi r = 2 pi*7 = 44 m

so

T = 44m/2.78m/s = 15.8 seconds

so

h = 8 + 7 cos (2 pi t/15.8)

## Answer This Question

## Related Questions

- Trigonometric Functions - A person is riding a ferris wheel that turns at a ...
- Physics - Fairgoers ride a Ferris wheel with a radius of 5.00 {\rm m} . The ...
- Physics - You and a friend are going to ride on a Ferris wheel. For a little ...
- Physics :(( help please - You and a friend are going to ride on a Ferris wheel. ...
- trig question - A Ferris wheel has a deameter of 50m. The platform at the bottom...
- math - A Ferris wheel has a maximum height of 245 feet and a wheel diameter of ...
- Physics - While riding a Ferris wheel, the rider determines that the Ferris ...
- pre cal - A small ferris wheel, a student is riding a 20-m-diameter ferris wheel...
- pre-cal - A small ferris wheel, a student is riding a 20-m-diameter ferris wheel...
- physics - A wheel rotates without friction about a stationary horizontal axis at...

More Related Questions