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Specific Weight of Liquid given Total Pressure Force on each end of Cylinder Formula

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The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3. Check FAQs

y = \frac{F C}{(\frac{π}{4 \cdot [g]} \cdot ({(ω \cdot {d v}^{2})}^{2}) + π \cdot {d v}^{3})}

y - Specific Weight of Liquid?F_C - Force on Cylinder?ω - Angular Velocity?d_v - Vertical Distance of Flow?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder Example

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Here is how the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder equation looks like with Values.

Here is how the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder equation looks like with Units.

Here is how the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder equation looks like.

9.8099 = \frac{45621}{(\frac{3.1416}{4 \cdot 9.8066} \cdot ({(2 \cdot {1.1}^{2})}^{2}) + 3.1416 \cdot {1.1}^{3})}

9.8099kN/m³ = \frac{45621N}{(\frac{3.1416}{4 \cdot 9.8066m/s²} \cdot ({(2rad/s \cdot {1.1m}^{2})}^{2}) + 3.1416 \cdot {1.1m}^{3})}

9.8099 = \frac{45621}{(\frac{3.1416}{4 \cdot 9.8066} \cdot ({(2 \cdot {1.1}^{2})}^{2}) + 3.1416 \cdot {1.1}^{3})}

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Specific Weight of Liquid given Total Pressure Force on each end of Cylinder Solution

Follow our step by step solution on how to calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

FIRST Step Consider the formula

y = \frac{F C}{(\frac{π}{4 \cdot [g]} \cdot ({(ω \cdot {d v}^{2})}^{2}) + π \cdot {d v}^{3})}

Next Step Substitute values of Variables

∴

y = \frac{45621N}{(\frac{π}{4 \cdot [g]} \cdot ({(2rad/s \cdot {1.1m}^{2})}^{2}) + π \cdot {1.1m}^{3})}

Next Step Substitute values of Constants

∴

y = \frac{45621N}{(\frac{3.1416}{4 \cdot 9.8066m/s²} \cdot ({(2rad/s \cdot {1.1m}^{2})}^{2}) + 3.1416 \cdot {1.1m}^{3})}

Next Step Prepare to Evaluate

∴

y = \frac{45621}{(\frac{3.1416}{4 \cdot 9.8066} \cdot ({(2 \cdot {1.1}^{2})}^{2}) + 3.1416 \cdot {1.1}^{3})}

Next Step Evaluate

∴

y = 9809.93594109044N/m³

Next Step Convert to Output's Unit

∴

y = 9.80993594109044kN/m³

LAST Step Rounding Answer

∴

y = 9.8099kN/m³

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder Formula Elements

Variables

Constants

Specific Weight of Liquid

The Specific weight of liquid is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.

Symbol: y

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight of Liquid

Force on Cylinder

Force on Cylinder refers to the pressure, load, or any external force exerted on a cylindrical object, such as a pipe or a mechanical cylinder.

Symbol: F_C

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Cylinder

Angular Velocity

The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Vertical Distance of Flow

Vertical Distance of Flow between center of transit and point on rod intersected by middle horizontal crosshair.

Symbol: d_v

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vertical Distance of Flow

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Cylindrical Vessel Containing Liquid Rotating with its Axis Horizontal. category

Go Total Pressure Force on Each End of Cylinder

F C = y \cdot (\frac{π}{4 \cdot [g]} \cdot ({(ω \cdot {d v}^{2})}^{2}) + π \cdot {d v}^{3})

Go Pressure Intensity when Radial Distance is Zero

p = y \cdot d v

Go Pressure Intensity at Radial Distance r from Axis

P Abs = y \cdot ((\frac{{(ω \cdot d r)}^{2}}{2} \cdot [g]) - d r \cdot \cos (\frac{π}{180} \cdot AT) + d v)

Go Liquid Column Height given Pressure Intensity at Radial Distance from Axis

d v = (\frac{P Abs}{y \cdot 1000}) - (\frac{{(ω \cdot d r)}^{2}}{2} \cdot [g]) + d r \cdot \cos (\frac{π}{180} \cdot AT)

How to Evaluate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder evaluator uses Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)) to evaluate the Specific Weight of Liquid, The Specific Weight of Liquid given Total Pressure Force on Each End of Cylinder is defined as weight per cubic meter of liquid. Specific Weight of Liquid is denoted by y symbol.

How to evaluate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder using this online evaluator? To use this online evaluator for Specific Weight of Liquid given Total Pressure Force on each end of Cylinder, enter Force on Cylinder (F_C), Angular Velocity (ω) & Vertical Distance of Flow (d_v) and hit the calculate button.

FAQs on Specific Weight of Liquid given Total Pressure Force on each end of Cylinder

What is the formula to find Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

The formula of Specific Weight of Liquid given Total Pressure Force on each end of Cylinder is expressed as Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)). Here is an example- 0.00981 = 45621/((pi/(4*[g])*((2*1.1^2)^2)+pi*1.1^3)).

How to calculate Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

With Force on Cylinder (F_C), Angular Velocity (ω) & Vertical Distance of Flow (d_v) we can find Specific Weight of Liquid given Total Pressure Force on each end of Cylinder using the formula - Specific Weight of Liquid = Force on Cylinder/((pi/(4*[g])*((Angular Velocity*Vertical Distance of Flow^2)^2)+pi*Vertical Distance of Flow^3)). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder be negative?

Yes, the Specific Weight of Liquid given Total Pressure Force on each end of Cylinder, measured in Specific Weight can be negative.

Which unit is used to measure Specific Weight of Liquid given Total Pressure Force on each end of Cylinder?

Specific Weight of Liquid given Total Pressure Force on each end of Cylinder is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Specific Weight of Liquid given Total Pressure Force on each end of Cylinder can be measured.

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