A piston in an engine moves up and down in a cylinder. The height, h centimetres, of the piston a t seconds is given by the formula h= 120 sin Pi t+ 200.
-State amplitude & period
-State max & min. heights of piston
-How many complete cycles does the piston make in 30 min.
I have no idea where to start. Is this the same as y=a sin k(x+c)? Should I graph the equation as is and go from there?
Thanks in advance for any suggestions!
The amplitude should be obvious, its 120 cm.
The period of a function is how much time it takes for one oscillation. One oscillation of the sine function is . So find when is :
I'll leave it to you to determine the max and min heights.
As to how many complete cycles are in a time period of 30 minutes, how many periods are in 30 minutes? (Remember that the period is in seconds, not minutes!)