Specific Mechanical Energy
Specific Mechanical Energy
\[\varepsilon = \frac{v^2}{2} + gh\]
Variables
eps = specific mechanical energy (J/kg)
v = velocity (m/s)
g = gravitational acceleration (m/s²)
h = height relative to reference level (m)
Description
What is this formula?
The specific mechanical energy equation calculates the total mechanical energy per unit mass of a moving object in a gravitational field.
When to use it
Use this formula when analyzing fluid flow, hydraulic systems, orbital mechanics, falling bodies, or energy conservation problems.
Example
A fluid particle moves at 15 m/s at a height of 12 m.
Data:
v = 15 m/s
g = 9.81 m/s²
h = 12 m
Formula:
eps = (v²/2)+(g*h)
Substitution:
eps = (15²/2)+(9.81*12)
Result:
eps = 230.22 J/kg
Applications
Fluid mechanics, hydraulic engineering, orbital mechanics, energy analysis, aerospace engineering, and mechanical systems.
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