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Pressure Intensity at Radial Distance r from Axis Formula

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

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

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

Pressure Intensity at Radial Distance r from Axis Example

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Here is how the Pressure Intensity at Radial Distance r from Axis equation looks like with Values.

Here is how the Pressure Intensity at Radial Distance r from Axis equation looks like with Units.

Here is how the Pressure Intensity at Radial Distance r from Axis equation looks like.

53999.5666 = 9.81 \cdot ((\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) - 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1)

53999.5666Pa = 9.81kN/m³ \cdot ((\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot 9.8066m/s²) - 0.5m \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1m)

53999.5666 = 9.81 \cdot ((\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) - 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1)

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Pressure Intensity at Radial Distance r from Axis Solution

Follow our step by step solution on how to calculate Pressure Intensity at Radial Distance r from Axis?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Abs = 9.81kN/m³ \cdot ((\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot [g]) - 0.5m \cdot \cos (\frac{π}{180} \cdot 4) + 1.1m)

Next Step Substitute values of Constants

∴

P Abs = 9.81kN/m³ \cdot ((\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot 9.8066m/s²) - 0.5m \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1m)

Next Step Convert Units

∴

P Abs = 9810N/m³ \cdot ((\frac{{(2rad/s \cdot 0.5m)}^{2}}{2} \cdot 9.8066m/s²) - 0.5m \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1m)

Next Step Prepare to Evaluate

∴

P Abs = 9810 \cdot ((\frac{{(2 \cdot 0.5)}^{2}}{2} \cdot 9.8066) - 0.5 \cdot \cos (\frac{3.1416}{180} \cdot 4) + 1.1)

Next Step Evaluate

∴

P Abs = 53999.5665834756Pa

LAST Step Rounding Answer

∴

P Abs = 53999.5666Pa

Pressure Intensity at Radial Distance r from Axis Formula Elements

Variables

Constants

Functions

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

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

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 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 Pressure Intensity at Radial Distance r from Axis?

Pressure Intensity at Radial Distance r from Axis evaluator uses Absolute Pressure = Specific Weight of Liquid*((((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])-Radial Distance from Central Axis*cos(pi/180*Actual Time)+Vertical Distance of Flow) to evaluate the Absolute Pressure, The Pressure Intensity at radial distance r from Axis formula is defined as the distribution of pressure across the pipe. Absolute Pressure is denoted by P_Abs symbol.

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

FAQs on Pressure Intensity at Radial Distance r from Axis

What is the formula to find Pressure Intensity at Radial Distance r from Axis?

The formula of Pressure Intensity at Radial Distance r from Axis is expressed as Absolute Pressure = Specific Weight of Liquid*((((Angular Velocity*Radial Distance from Central Axis)^2)/2*[g])-Radial Distance from Central Axis*cos(pi/180*Actual Time)+Vertical Distance of Flow). Here is an example- 53999.57 = 9810*((((2*0.5)^2)/2*[g])-0.5*cos(pi/180*4)+1.1).

How to calculate Pressure Intensity at Radial Distance r from Axis?

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

Can the Pressure Intensity at Radial Distance r from Axis be negative?

Yes, the Pressure Intensity at Radial Distance r from Axis, measured in Pressure can be negative.

Which unit is used to measure Pressure Intensity at Radial Distance r from Axis?

Pressure Intensity at Radial Distance r from Axis is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure Intensity at Radial Distance r from Axis can be measured.

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Pressure Intensity at Radial Distance r from Axis Formula

Pressure Intensity at Radial Distance r from Axis Example

Pressure Intensity at Radial Distance r from Axis Solution

Pressure Intensity at Radial Distance r from Axis Formula Elements

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

How to Evaluate Pressure Intensity at Radial Distance r from Axis?

FAQs on Pressure Intensity at Radial Distance r from Axis

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