Question

A piston in a gasoline engine is in simple harmonic motion. The engine is running at...

A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 4 230 rev/min. Taking the extremes of its position relative to its center point as ±5.75 cm.

(a) Find the magnitude of the maximum velocity of the piston.
m/s

(b) Find the magnitude of the maximum acceleration of the piston
km/s2

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Answer both sections: A) The motion of a piston in an auto engine is simple harmonic....
Answer both sections: A) The motion of a piston in an auto engine is simple harmonic. If the piston travels back and forth over a total distance of 12 cm, and the piston has a mass of 1.8 kg, what is the maximum force acting on the piston when the engine is running at 4,800 rpm (revolutions per minute)? Round your answer to the nearest Newton. Enter the numerical answer only with no units. B) A body oscillates with simple...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 8.00 cos (3t + pi/4) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s2 (d) Find the period and amplitude of the motion. period...
A piston (with mass M = 2.0 kg) in a car engine is in vertical simple...
A piston (with mass M = 2.0 kg) in a car engine is in vertical simple harmonic motion with amplitude A = 5.0 cm. If the engine is running at 3556 rev/min, (a) What is the maximum velocity (m/s) of the piston? (b) What is the maximum acceleration (m/s2) of the piston? Suppose a small 100 g piece of metal were to break loose from the surface of the piston when it (the piston) is at the lowest point (z...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 7.00 cos(3t + π/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. ____ cm (b) At t = 0, find velocity of the piston. ____ cm/s (c) At t = 0, find acceleration of the piston. ____ cm/s^2 (d) Find the period and amplitude of the...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 3.00 cos(t+π/4) (a) At t = 0, find the position of the piston.where x is in centimeters and t is in seconds. We are given x as a function of time. For any x(t) you can determine the position at a particular time by putting that value into the function. cm (b) At t = 0, find velocity of...
The motion of a piston in an automobile engine is nearly simple harmonic. If the 1-kg...
The motion of a piston in an automobile engine is nearly simple harmonic. If the 1-kg piston travels back and forth over a total distance of 14.8 cm, what is its maximum speed, in m/s, when the engine is running at 3,504 rpm? Give your answer in m/s and use only one decimal place (just one digit after decimal point).
A block attached to the end of a spring moves in simple harmonic motion according to...
A block attached to the end of a spring moves in simple harmonic motion according to the position function  where the period of the motion is 4.0 s and the amplitude of the motion is 15 cm. g) Determine the first time at which the position of the block is -1.2 cm. ______ s h) Determine the first time at which the velocity of the block is -8.5 cm/s. ______ s i) Determine the first time at which the acceleration of...
A metal ball attached to a spring moves in simple harmonic motion. The amplitude of the...
A metal ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.0 cm, and the spring constant is 5.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 27.2 cm/s. (a) What is the mass of the ball (in kg)? (b) What is the period of oscillation (in s)? (c) What is the maximum acceleration of the ball? (Enter the magnitude in...
A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the...
A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.5 cm, and the spring constant is 6.00 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 22.7 cm/s. What is the mass of the ball (in kg)? Answer-    kg What is the period of oscillation (in s)? Answer- s What is the maximum acceleration of the ball? (Enter the...
Model a piston in an engine as a mass on a spring that is undergoing simple...
Model a piston in an engine as a mass on a spring that is undergoing simple harmonic motion. The mass of the piston is 0.583 kg, and the period of the motion is 1.54 seconds. The motion has an amplitude of 0.0902 meters, meaning the distance between the center of the motion and each end of the motion. Assume that the mass starts out with the spring stretched as far as it is going to go, so that the phase...