A piston in an automobile engine is in simple harmonic motion. It\'s amplitude o

Question

A piston in an automobile engine is in simple harmonic motion. It's amplitude of oscillation from the equilibrium (centered) position is +-7.84 cm and its mass is 2.592 kg. A) Find the maximum velocity of the piston when the auto engine is running at the rate of 3340 rev/min. Answer in units of m/s. B) Find the maximum acceleration of the piston when the auto engine is running at this rate. Answer in units of km/s2.
I found part A, 27.4215 m/s, but I can't get part B. Please help!! A piston in an automobile engine is in simple harmonic motion. It's amplitude of oscillation from the equilibrium (centered) position is +-7.84 cm and its mass is 2.592 kg. A) Find the maximum velocity of the piston when the auto engine is running at the rate of 3340 rev/min. Answer in units of m/s. B) Find the maximum acceleration of the piston when the auto engine is running at this rate. Answer in units of km/s2.
I found part A, 27.4215 m/s, but I can't get part B. Please help!! A) Find the maximum velocity of the piston when the auto engine is running at the rate of 3340 rev/min. Answer in units of m/s. B) Find the maximum acceleration of the piston when the auto engine is running at this rate. Answer in units of km/s2.
I found part A, 27.4215 m/s, but I can't get part B. Please help!!

Explanation / Answer

simple

a = w^2*A

= (3340*2*pi/60)^2 * 0.0784 = 9.591 km/s^2

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