Height = 15 + 10sin((2pi/3)t)
[tex]\text{Height = 15 + 10 }\cdot\text{ sin(}\frac{2\pi}{3}t)[/tex]Where t is time in minutes
15 ==> height of the center of the wheel (5 feet off the ground plus 10 feet radius of the wheel)
10 ==> radius of the wheel
angular velocity = 2pi/3 radians per minute
Height after 2 min: 6.34 feet
[tex]H\text{ = 15 + 10 }\cdot\text{ sin(}\frac{2\pi}{3}2)\text{ =15 + 10 }\cdot\text{ }(-0.866)\text{ = }15\text{ - }8.66\text{ = }6.34[/tex]