Sketch two cycles for the motion above the ground of a point on a hamster wheel. The wheel rotates every 6 seconds. The highest it reaches is 27 cm above the ground. The diameter of the wheel is 25 cm.

Answer 1

see the graph at

http://www.wolframalpha.com/input/?i=plot+y%3D29%2F2+-+25%2F2+cos(pi%2F3+t),+y%3D2,y%3D27+for+0%3C%3Dt%3C%3D12

use what you know about shifts, periods, and amplitudes to arrive at it.