Velocity & Impact Energy Calculation for pipework failure calc.

In summary, a pipe end stop with a mass of 100g and a diameter of 12.7mm fails at an instantaneous pressure of 1000 Bar. The failure results in the end stop flying off the pipe and impacting with a polycarbonate protective screen. The problem is to determine the initial velocity of the end stop at the point of failure, the velocity of the end stop 1m from the point of failure, and the energy of the end stop at the point of impact with the screen. The equations needed to solve this problem are not known.
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Homework Statement


A pipe end stop fails when subjected to high pressure and flys of the pipe before impacting with a polycarbonate protective screen.
The end stop has a mass of 100g and is 12.7mm dia. as is the internal diameter of the pipe. The instantaneous pressure that the end stop fails at is 1000 Bar.

My problem is:
a) What is the intitial velocity of the pipe stop at point of failure?
b) What is the velocity of the pipe stop 1m from the point of failure?
c) What is the energy of the pipe stop, at the point of impact with the polycarbonate screen?

Homework Equations


Not known


The Attempt at a Solution

 
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Related to Velocity & Impact Energy Calculation for pipework failure calc.

1. How is velocity calculated in pipework failure calculation?

Velocity is calculated by dividing the volumetric flow rate of the fluid by the cross-sectional area of the pipe. This can be represented by the equation: Velocity (m/s) = Volumetric Flow Rate (m^3/s) / Cross-sectional Area (m^2).

2. What is the impact energy of a pipework failure?

The impact energy of a pipework failure is the amount of energy released when a pipe or component fails and the fluid inside is suddenly released. It is calculated by multiplying the mass of the fluid by the square of the velocity at the point of failure. This can be represented by the equation: Impact Energy (J) = Mass of fluid (kg) x Velocity (m/s) ^2.

3. How is pipework failure impact energy used in risk assessment?

Pipework failure impact energy is used in risk assessment to evaluate the potential consequences of a failure. By calculating the impact energy, engineers can assess the potential damage and hazards that may result from a failure and determine appropriate safety measures.

4. What factors can affect the velocity and impact energy in pipework failure calculation?

The velocity and impact energy in pipework failure calculation can be affected by factors such as the type of fluid being transported, the pressure and temperature of the fluid, the material and thickness of the pipe, and any changes in the flow rate or direction of the fluid.

5. How can pipework failure velocity and impact energy be reduced?

Pipework failure velocity and impact energy can be reduced by implementing safety measures such as using materials with higher strength and resistance to failure, regularly inspecting and maintaining pipes and components, and controlling the flow rate and pressure of the fluid within the pipes.

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