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Efficiency of hydraulic crane Formula

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Efficiency of hydraulic crane is defined as the ratio of power output to the input power of the hydraulic crane. Check FAQs

η c = \frac{W hc \cdot h}{p c \cdot A \cdot L a}

η_c - Efficiency of hydraulic crane?W_hc - Weight Lifted by Hydraulic Crane?h - Height till which Weight is lifted?p_c - Pressure in hydraulic crane cylinder?A - Area of Hydraulic Ram?L_a - Length of Load Arm of Hydraulic Lever?

Efficiency of hydraulic crane Example

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Here is how the Efficiency of hydraulic crane equation looks like with Values.

Here is how the Efficiency of hydraulic crane equation looks like with Units.

Here is how the Efficiency of hydraulic crane equation looks like.

0.7136 = \frac{7500 \cdot 7.8}{910000 \cdot 0.0154 \cdot 5.85}

0.7136 = \frac{7500N \cdot 7.8m}{910000N/m² \cdot 0.0154m² \cdot 5.85m}

0.7136 = \frac{7500 \cdot 7.8}{910000 \cdot 0.0154 \cdot 5.85}

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Efficiency of hydraulic crane Solution

Follow our step by step solution on how to calculate Efficiency of hydraulic crane?

FIRST Step Consider the formula

η c = \frac{W hc \cdot h}{p c \cdot A \cdot L a}

Next Step Substitute values of Variables

∴

η c = \frac{7500N \cdot 7.8m}{910000N/m² \cdot 0.0154m² \cdot 5.85m}

Next Step Convert Units

∴

η c = \frac{7500N \cdot 7.8m}{910000Pa \cdot 0.0154m² \cdot 5.85m}

Next Step Prepare to Evaluate

∴

η c = \frac{7500 \cdot 7.8}{910000 \cdot 0.0154 \cdot 5.85}

Next Step Evaluate

∴

η c = 0.713572142143571

LAST Step Rounding Answer

∴

η c = 0.7136

Efficiency of hydraulic crane Formula Elements

Variables

Efficiency of hydraulic crane

Efficiency of hydraulic crane is defined as the ratio of power output to the input power of the hydraulic crane.

Symbol: η_c

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Efficiency of hydraulic crane

Open Variable

Weight Lifted by Hydraulic Crane

Weight lifted by hydraulic crane is the amount of weight lifted vertically by an hydraulic crane.

Symbol: W_hc

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight Lifted by Hydraulic Crane

Open Variable

Height till which Weight is lifted

Height till which weight is lifted is a measure of vertical distance of height through which the load is lifted by the hydraulic crane.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height till which Weight is lifted

Open Variable

Pressure in hydraulic crane cylinder

Pressure in hydraulic crane cylinder is the pressure of water in the cylinder or pressurized cylinder of an hydraulic crane.

Symbol: p_c

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Pressure in hydraulic crane cylinder

Open Variable

Area of Hydraulic Ram

Area of hydraulic ram is defined as the area covered by the ram in which a piston or plunger is displaced by the pressure of a fluid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Hydraulic Ram

Open Variable

Length of Load Arm of Hydraulic Lever

Length of Load Arm of Hydraulic Lever is the length of the arm of an hydraulic press or an hydraulic lever onto which the output load is balanced.

Symbol: L_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Load Arm of Hydraulic Lever

Open Variable

Other formulas in Hydraulic Crane category

Go Output of hydraulic crane

w = W hc \cdot h

Go Input of hydraulic crane

P i = p c \cdot A \cdot L a

How to Evaluate Efficiency of hydraulic crane?

Efficiency of hydraulic crane evaluator uses Efficiency of hydraulic crane = (Weight Lifted by Hydraulic Crane*Height till which Weight is lifted)/(Pressure in hydraulic crane cylinder*Area of Hydraulic Ram*Length of Load Arm of Hydraulic Lever) to evaluate the Efficiency of hydraulic crane, Efficiency of hydraulic crane formula is defined as a measure of the effectiveness of a hydraulic crane in lifting heavy loads, taking into account the weight lifted, height of lift, and power consumed, providing a quantitative value to assess the performance of the crane in various operational conditions. Efficiency of hydraulic crane is denoted by η_c symbol.

How to evaluate Efficiency of hydraulic crane using this online evaluator? To use this online evaluator for Efficiency of hydraulic crane, enter Weight Lifted by Hydraulic Crane (W_hc), Height till which Weight is lifted (h), Pressure in hydraulic crane cylinder (p_c), Area of Hydraulic Ram (A) & Length of Load Arm of Hydraulic Lever (L_a) and hit the calculate button.

FAQs on Efficiency of hydraulic crane

What is the formula to find Efficiency of hydraulic crane?

The formula of Efficiency of hydraulic crane is expressed as Efficiency of hydraulic crane = (Weight Lifted by Hydraulic Crane*Height till which Weight is lifted)/(Pressure in hydraulic crane cylinder*Area of Hydraulic Ram*Length of Load Arm of Hydraulic Lever). Here is an example- 0.713572 = (7500*7.8)/(910000*0.0154*5.85).

How to calculate Efficiency of hydraulic crane?

With Weight Lifted by Hydraulic Crane (W_hc), Height till which Weight is lifted (h), Pressure in hydraulic crane cylinder (p_c), Area of Hydraulic Ram (A) & Length of Load Arm of Hydraulic Lever (L_a) we can find Efficiency of hydraulic crane using the formula - Efficiency of hydraulic crane = (Weight Lifted by Hydraulic Crane*Height till which Weight is lifted)/(Pressure in hydraulic crane cylinder*Area of Hydraulic Ram*Length of Load Arm of Hydraulic Lever).

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