Piston Question that I do not understand

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In summary, the question is about a block riding on a piston with simple harmonic motion. Part (a) asks for the amplitude needed for the block and piston to separate, while part (b) asks for the maximum frequency for continuous contact between the two. After searching for more information, the solution was found.
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[SOLVED] Piston Question that I do not understand

Homework Statement

A block rides on a piston that is moving vertically with simple harmonic motion.
(a) If the SHM has a period 1.0s, at what amplitude of motion will the block and piston separate?
(b) If the piston has an amplitude of 5.0cm, what is the maximum frequency for which the block and piston will be in contact continuously?

The attempt at a solution

I don't understand the question. What is a piston, what causes the block to separate, how do I start the question?
 
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I searched it more and got an answer
 
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As a scientist, it is important to first understand the terminology and concepts being used in a question before attempting to solve it. A piston is a component of an engine or pump that moves back and forth in a cylinder, creating pressure and motion. In this scenario, the piston is moving vertically with simple harmonic motion, meaning it is moving up and down in a regular pattern.

To start the question, you can first try to visualize the scenario described. Imagine a block sitting on top of a piston that is moving up and down. Now, think about what might cause the block and piston to separate. This could be due to the amplitude of the piston's motion, or the frequency at which it is moving.

To solve part (a), you can use the equation for simple harmonic motion: x = A*sin(ωt), where x is the displacement, A is the amplitude, ω is the angular frequency (2πf), and t is time. The question states that the period of the SHM is 1.0s, which means the time for one complete cycle is 1.0s. From this, you can calculate the angular frequency (ω = 2π/1.0s = 2π rad/s). Now, you can set up the equation for the block and piston separating, which is when the displacement of the block (x) is equal to the amplitude of the piston (A). So, you can solve for A by plugging in the known values: A = x/sin(ωt).

For part (b), you can use the equation for frequency: f = 1/T, where f is frequency and T is period. The question states that the piston has an amplitude of 5.0cm, which means the maximum displacement of the block is 5.0cm. Now, you can set up the equation for the block and piston being in contact continuously, which is when the displacement of the block (x) is less than or equal to the amplitude of the piston (A). So, you can solve for the maximum frequency by plugging in the known values: f = 1/T = 1/2π * A/x.

I hope this explanation helps you understand the question better. It is important to always clarify any confusion or doubts before attempting to solve a problem.
 

Related to Piston Question that I do not understand

What is a piston and how does it work?

A piston is a cylindrical component that moves up and down within an engine cylinder. It is typically made of metal and is connected to a connecting rod that is attached to the crankshaft. As the fuel and air mixture is ignited, the resulting explosion pushes the piston down, which in turn rotates the crankshaft and powers the engine. The piston then moves back up to compress the fuel and air mixture for the next cycle.

What are the different types of pistons?

There are several different types of pistons, including flat-top, dome, and dish pistons. Flat-top pistons have a flat surface on top, while dome pistons have a curved or rounded top. Dish pistons have a concave shape on top. These different shapes can affect the compression ratio and performance of the engine.

What is a piston ring and what is its purpose?

A piston ring is a split ring that fits around the piston and helps seal the combustion chamber. It also helps to control oil consumption and dissipate heat from the piston to the cylinder wall. Piston rings are essential for maintaining proper engine performance and efficiency.

How do I know if my pistons need to be replaced?

There are a few signs that indicate your pistons may need to be replaced, including excessive oil consumption, loss of power, and unusual noises coming from the engine. It is best to have a professional mechanic inspect your engine to determine if the pistons need to be replaced.

Can I upgrade my pistons for better performance?

Yes, it is possible to upgrade your pistons for better performance. This can include using lightweight materials, changing the shape of the piston, or adding coatings to reduce friction. However, it is important to consult with a professional mechanic or engine builder to ensure the upgrades are compatible with your specific engine and goals.

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