Chapter 6.4, Problem 29PE

Refer to the piston and crankshaft from Exercise 25. The stroke length of the engine is 4 in. and the engine turn at 1800 rpm. The connecting rod cap at point $B$ rotates around the crank circle centered at point $C$ Assume that at $t=0$ , the piston is at its farthest point from the center of the crank circle.

a. How many revolutions per second is the engine turning?

b. Write a model representing the horizontal position $x$ (in inches) of the connecting rod cap (point $B$ ) relative to the center of the crank circle (point $C$ ) at time $t$ (in seconds).

c. Write a model representing the vertical position $y$ (in inches) of the connecting rod cap relative to the center of the crank circle at time $t$ (in seconds).