Making Equation

[Hamid]

Making Equation -- Please Need Help, it is urgent.

On The Price is Right, the big wheel has a radius of 1.5m, and its bottom sits 0.3m above the ground. the wheel must always begin with the coveted "100" facing directly outwards (half way between top and bottom). if a contestant spins the wheel with an angular speed of 2radians/second, write an equation that models the height of the "100" above the ground (ignoring the fact that it will slow down).

 

[HallsofIvy]

Wouldn't it be better if you tried first and showed what you had done? Knowing what you can do would make it easire to give suggestions. Without that, I suggest that you use fact that "the wheel spins with an angular speed of 2radians/second" to write the angle a fixed point makes with the horizontal as a function of t. Then you can use that to write the y coordinate of the point as a function of t: on a circle of radius R with center at the origin \(\displaystyle y= Rsin(\theta)\). If the center is h above the ground, y is \(\displaystyle Rsin(\theta)+ h\) above the ground.