The figure below shows a piston from your car engine. Don't worry, you will not be required to understand an internal combustion engine for this problem. Instead, we simply notice that the up/down motion of the piston is exactly described as Simple Harmonic Motion. The tachometer on your dashboard tells you that your engine is turning at w = 3740 rpm (revolutions/minute). The owner's manual for your car tells you that the amplitude of the motion of the piston is ymax = A = 0.076 meters. Simple Harmonic Motion wrist. pin O 500 grams Crankshaft Determine all the following: The angular frequency in proper units @ = The period of the piston, T = -A (top of stroke) -B (midpoint) C (bottom of stroke) y=-A seconds Hz y=+A rad/sec The frequency of the piston, f = The maximum velocity of the piston, Vmax= meters/sec The piston velocity when y = 49% of full stroke, v(y = 0.49 ymax): meters/sec