Question

A piston in an automobile engine is in simple harmonic motion. Its amplitude of oscillation from the equilibrium (centered) position is ±6.83 cm and its mass is 2.708 kg.
Find the maximum velocity of the piston when the auto engine is running at the rate of 3590 rev/min.
Answer in units of m/s.

Answer 1

The maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Angular speed of the automobile

The angular speed of the automobile in radian per second is calculated as follows;

ω = 2πN

ω = 2π x (3590 /60 s)

ω = 375.94 rad/s

Maximum velocity

The maximum velocity of the piston is calculated using the following formula;

v(max) = Aω

v(max) = 0.0683 x 375.94

v(max) = 25.68 m/s

Thus, the maximum velocity of the piston when the auto engine is running at the given speed is 25.68 m/s.

Learn more about angular speed here: https://brainly.com/question/6860269