Hydraulic Power formula |
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\( P_h \;=\; \dot m_f \cdot g \cdot h \) (Hydraulic Power) \( \dot m_f \;=\; \dfrac{ P_h }{ g \cdot h }\) \( g \;=\; \dfrac{ P_h }{ \dot m_f \cdot h }\) \( h \;=\; \dfrac{ P_h }{ \dot m_f \cdot g }\) |
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| Symbol | English | Metric |
| \( P_h \) = Hydraulic Power | \(lbm-ft^2 \;/\; sec\) | \(kg-m^2 \;/\; s\) |
| \( \dot m_f \) = Water Mass Flow Rate | \(lbm \;/\; sec\) | \(kg \;/\; s\) |
| \( g \) = Gravitational Acceleration | \(ft \;/\; sec^2\) | \(m \;/\; s^2\) |
| \( h \) = Hydraulic Head | \(in\) | \(m\) |
Hydraulic power, abbreviated as \(P_h\), is generated through a combination of oil flow and pressure. Oil flow and pressure is created from a hydraulic pump and transmitted through hoses or tubes, via control valves, to the hydraulic motor or cylinder that will do the work. Hydraulic power has an advantage in that the space required is considerably less than that for conventional drives. This technology relies on the principles of fluid dynamics and Pascal's law, which states that a change in pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and to the walls of its container.
In a hydraulic system, a pump is used to pressurize hydraulic fluid (usually oil), and this pressurized fluid is then transmitted through a network of pipes or tubes to various hydraulic components, such as cylinders or motors. The pressurized fluid is used to perform work, such as lifting heavy loads, turning a shaft, or moving machinery.
Hydraulic Power formula |
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\( P_h \;=\; \rho_w \cdot Q \cdot g \cdot h \) (Hydraulic Power) \( rho_w \;=\; \dfrac{ P_h }{ Q \cdot g \cdot h }\) \( Q \;=\; \dfrac{ P_h }{ \rho_w \cdot g \cdot h }\) \( g \;=\; \dfrac{ P_h }{ \rho_w \cdot Q \cdot h }\) \( h \;=\; \dfrac{ P_h }{ \rho_w \cdot Q \cdot g }\) |
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| Symbol | English | Metric |
| \( P_h \) = Hydraulic Power | \(lbm-ft^2 \;/\; sec\) | \(kg-m^2 \;/\; s\) |
| \( \rho_w \) (Greek symbol rho) = Water Density by Temperature | \(lbm \;/\; ft^3\) | \(kg \;/\; m^3\) |
| \( Q \) = Water Volumetric Flow Rate | \(ft^3 \;/\; sec\) | \(m^3 \;/\; s\) |
| \( g \) = Gravitational Acceleration | \(ft \;/\; sec^2\) | \(m \;/\; s^2\) |
| \( h \) = Hydraulic Head | \(in\) | \(m\) |
Hydraulic power is used in various applications, including industrial machinery, construction equipment, aerospace systems, and automotive systems. It is valued for its ability to transmit high levels of force, control precision, and operate in diverse environments.
