A piston in a car engine has a mass of 0.75 kg and moves with motion wich was approximately simple harmonic. If the amplitude of zis oscillation is 10 cm and z max. safe operating speed of z engine is 6000 rev. per min. Calculate:

a. Max acceleration of z piston
b. Max.speed of the piston
c. The max. Force acting on the piston

1 answer

6000 rpm = 628.3 radians/sec
Call that angular frequency "w"

Maximum acceleration = (Amplitide)*w^2
= 0.10 m * w^2 = 39480 m/s^2

Maximum velocity = (Amplitude)*w = 62.83 m/s.

Max force = (Mass)*(max acceleration)