Question5) A rung on a hamster wheel, with a radius of 25 cm , is travelling at a constant speed. It makes one complete revolution in 3 seconds. The axle of the hamster wheel is 27 cm above the ground. a) Sketch a graph of the height of the rung above the ground during two complete revolutions, beginning when the rung is closest to the ground.

Studdy Solution
Sketch the graph for two complete revolutions:
- The graph of $h(t)$ will be a sinusoidal wave. - The period of the function is $3$ seconds, so two complete revolutions will span $6$ seconds. - The minimum height is $2$ cm, and the maximum height is $52$ cm. - The graph starts at $2$ cm at $t = 0$, rises to $52$ cm at $t = 1.5$ seconds, returns to $2$ cm at $t = 3$ seconds, rises again to $52$ cm at $t = 4.5$ seconds, and returns to $2$ cm at $t = 6$ seconds.
The graph is a sinusoidal wave with a period of $3$ seconds, starting at $2$ cm, peaking at $52$ cm, and repeating this pattern over $6$ seconds.