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

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

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)

d_v - Vertical Distance of Flow?P_Abs - Absolute Pressure?y - Specific Weight of Liquid?ω - Angular Velocity?d_r - Radial Distance from Central Axis?AT - Actual Time?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

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

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Here is how the Liquid Column Height given Pressure Intensity at Radial Distance from Axis equation looks like with Values.

Here is how the Liquid Column Height given Pressure Intensity at Radial Distance from Axis equation looks like with Units.

Here is how the Liquid Column Height given Pressure Intensity at Radial Distance from Axis equation looks like.

5.7891 = (\frac{100000}{9.81 \cdot 1000}) - (\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) + 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4)

5.7891m = (\frac{100000Pa}{9.81kN/m³ \cdot 1000}) - (\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot 9.8066m/s²) + 0.5m \cdot \cos (\frac{3.1416}{180} \cdot 4)

5.7891 = (\frac{100000}{9.81 \cdot 1000}) - (\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) + 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4)

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

Follow our step by step solution on how to calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

d v = (\frac{100000Pa}{9.81kN/m³ \cdot 1000}) - (\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot [g]) + 0.5m \cdot \cos (\frac{π}{180} \cdot 4)

Next Step Substitute values of Constants

∴

d v = (\frac{100000Pa}{9.81kN/m³ \cdot 1000}) - (\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot 9.8066m/s²) + 0.5m \cdot \cos (\frac{3.1416}{180} \cdot 4)

Next Step Prepare to Evaluate

∴

d v = (\frac{100000}{9.81 \cdot 1000}) - (\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) + 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4)

Next Step Evaluate

∴

d v = 5.78913694358047m

LAST Step Rounding Answer

∴

d v = 5.7891m

Liquid Column Height given Pressure Intensity at Radial Distance from Axis Formula Elements

Variables

Constants

Functions

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

Absolute Pressure

Absolute Pressure refers to the total pressure exerted on a system, measured relative to a perfect vacuum (zero pressure).

Symbol: P_Abs

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Absolute Pressure

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

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

Radial Distance from Central Axis

Radial Distance from Central Axis refers to the distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_r

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance from Central Axis

Actual Time

Actual Time refers to the time taken to produce an item on a production line versus the planned production time.

Symbol: AT

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Actual Time

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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

y = \frac{F C}{(\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)

How to Evaluate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

Liquid Column Height given Pressure Intensity at Radial Distance from Axis evaluator uses Vertical Distance of Flow = (Absolute Pressure/(Specific Weight of Liquid*1000))-(((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])+Radial Distance from Central Axis*cos(pi/180*Actual Time) to evaluate the Vertical Distance of Flow, The Liquid Column Height given Pressure Intensity at Radial Distance from Axis formula is defined as maximum width of column of liquid in pipe. Vertical Distance of Flow is denoted by d_v symbol.

How to evaluate Liquid Column Height given Pressure Intensity at Radial Distance from Axis using this online evaluator? To use this online evaluator for Liquid Column Height given Pressure Intensity at Radial Distance from Axis, enter Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Actual Time (AT) and hit the calculate button.

FAQs on Liquid Column Height given Pressure Intensity at Radial Distance from Axis

What is the formula to find Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

The formula of Liquid Column Height given Pressure Intensity at Radial Distance from Axis is expressed as Vertical Distance of Flow = (Absolute Pressure/(Specific Weight of Liquid*1000))-(((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])+Radial Distance from Central Axis*cos(pi/180*Actual Time). Here is an example- 5.789137 = (100000/(9810*1000))-(((2*0.5)^2)/2*[g])+0.5*cos(pi/180*4).

How to calculate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

With Absolute Pressure (P_Abs), Specific Weight of Liquid (y), Angular Velocity (ω), Radial Distance from Central Axis (d_r) & Actual Time (AT) we can find Liquid Column Height given Pressure Intensity at Radial Distance from Axis using the formula - Vertical Distance of Flow = (Absolute Pressure/(Specific Weight of Liquid*1000))-(((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])+Radial Distance from Central Axis*cos(pi/180*Actual Time). This formula also uses Gravitational acceleration on Earth, Archimedes' constant and Cosine (cos) function(s).

Can the Liquid Column Height given Pressure Intensity at Radial Distance from Axis be negative?

No, the Liquid Column Height given Pressure Intensity at Radial Distance from Axis, measured in Length cannot be negative.

Which unit is used to measure Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

Liquid Column Height given Pressure Intensity at Radial Distance from Axis is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Liquid Column Height given Pressure Intensity at Radial Distance from Axis can be measured.

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

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

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

Liquid Column Height given Pressure Intensity at Radial Distance from Axis Formula Elements

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

How to Evaluate Liquid Column Height given Pressure Intensity at Radial Distance from Axis?

FAQs on Liquid Column Height given Pressure Intensity at Radial Distance from Axis

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