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Radial Distance for Pressure at Any Point with Origin at Free Surface Formula

GoRadial Distance given Centripetal Acceleration from Axis Formula

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

d r = \sqrt{(2 \cdot \frac{[g]}{y} \cdot (ω^{2})) \cdot (P Abs - P atm + y \cdot h)}

d_r - Radial Distance from Central Axis?y - Specific Weight of Liquid?ω - Angular Velocity?P_Abs - Absolute Pressure?P_atm - Atmospheric Pressure?h - Height of Crack?[g] - Gravitational acceleration on Earth?

Radial Distance for Pressure at Any Point with Origin at Free Surface Example

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Here is how the Radial Distance for Pressure at Any Point with Origin at Free Surface equation looks like with Values.

Here is how the Radial Distance for Pressure at Any Point with Origin at Free Surface equation looks like with Units.

Here is how the Radial Distance for Pressure at Any Point with Origin at Free Surface equation looks like.

39.4774 = \sqrt{(2 \cdot \frac{9.8066}{9.81} \cdot (2^{2})) \cdot (100000 - 101325 + 9.81 \cdot 20000)}

39.4774m = \sqrt{(2 \cdot \frac{9.8066m/s²}{9.81kN/m³} \cdot ({2rad/s}^{2})) \cdot (100000Pa - 101325Pa + 9.81kN/m³ \cdot 20000mm)}

39.4774 = \sqrt{(2 \cdot \frac{9.8066}{9.81} \cdot (2^{2})) \cdot (100000 - 101325 + 9.81 \cdot 20000)}

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Radial Distance for Pressure at Any Point with Origin at Free Surface Solution

Follow our step by step solution on how to calculate Radial Distance for Pressure at Any Point with Origin at Free Surface?

FIRST Step Consider the formula

d r = \sqrt{(2 \cdot \frac{[g]}{y} \cdot (ω^{2})) \cdot (P Abs - P atm + y \cdot h)}

Next Step Substitute values of Variables

∴

d r = \sqrt{(2 \cdot \frac{[g]}{9.81kN/m³} \cdot ({2rad/s}^{2})) \cdot (100000Pa - 101325Pa + 9.81kN/m³ \cdot 20000mm)}

Next Step Substitute values of Constants

∴

d r = \sqrt{(2 \cdot \frac{9.8066m/s²}{9.81kN/m³} \cdot ({2rad/s}^{2})) \cdot (100000Pa - 101325Pa + 9.81kN/m³ \cdot 20000mm)}

Next Step Convert Units

∴

d r = \sqrt{(2 \cdot \frac{9.8066m/s²}{9810N/m³} \cdot ({2rad/s}^{2})) \cdot (100000Pa - 101325Pa + 9810N/m³ \cdot 20m)}

Next Step Prepare to Evaluate

∴

d r = \sqrt{(2 \cdot \frac{9.8066}{9810} \cdot (2^{2})) \cdot (100000 - 101325 + 9810 \cdot 20)}

Next Step Evaluate

∴

d r = 39.4774317778619m

LAST Step Rounding Answer

∴

d r = 39.4774m

Radial Distance for Pressure at Any Point with Origin at Free Surface Formula Elements

Variables

Constants

Functions

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

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

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

Atmospheric Pressure

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.

Symbol: P_atm

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Atmospheric Pressure

Height of Crack

Height of Crack refers to the size of a flaw or crack in a material that can lead to catastrophic failure under a given stress.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Height of Crack

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Radial Distance from Central Axis

Go Radial Distance given Centripetal Acceleration from Axis

d r = \frac{a c}{ω^{2}}

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

Go Constant Angular Velocity given Equation of Free Surface of Liquid

ω = \sqrt{h \cdot \frac{2 \cdot [g]}{{d'}^{2}}}

Go Vertical Depth given Pressure at any point with Origin at Free Surface

h = \frac{P atm - P Abs + (\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2})}{ω}

Go Equation of Free Surface of liquid

h = \frac{{(ω \cdot d')}^{2}}{2 \cdot [g]}

Go Atmospheric Pressure given Pressure at any Point with Origin at Free Surface

P atm = P Abs - ((\frac{y}{[g]}) \cdot (0.5 \cdot {(ω \cdot d r)}^{2}) + ω \cdot h)

How to Evaluate Radial Distance for Pressure at Any Point with Origin at Free Surface?

Radial Distance for Pressure at Any Point with Origin at Free Surface evaluator uses Radial Distance from Central Axis = sqrt((2*[g]/Specific Weight of Liquid*(Angular Velocity^2))*(Absolute Pressure-Atmospheric Pressure+Specific Weight of Liquid*Height of Crack)) to evaluate the Radial Distance from Central Axis, The Radial Distance for Pressure at Any Point with Origin at Free Surface formula is defined as the distance at which pressure is calculated from axis of rotation. Radial Distance from Central Axis is denoted by d_r symbol.

How to evaluate Radial Distance for Pressure at Any Point with Origin at Free Surface using this online evaluator? To use this online evaluator for Radial Distance for Pressure at Any Point with Origin at Free Surface, enter Specific Weight of Liquid (y), Angular Velocity (ω), Absolute Pressure (P_Abs), Atmospheric Pressure (P_atm) & Height of Crack (h) and hit the calculate button.

FAQs on Radial Distance for Pressure at Any Point with Origin at Free Surface

What is the formula to find Radial Distance for Pressure at Any Point with Origin at Free Surface?

The formula of Radial Distance for Pressure at Any Point with Origin at Free Surface is expressed as Radial Distance from Central Axis = sqrt((2*[g]/Specific Weight of Liquid*(Angular Velocity^2))*(Absolute Pressure-Atmospheric Pressure+Specific Weight of Liquid*Height of Crack)). Here is an example- 39.47743 = sqrt((2*[g]/9810*(2^2))*(100000-101325+9810*20)).

How to calculate Radial Distance for Pressure at Any Point with Origin at Free Surface?

With Specific Weight of Liquid (y), Angular Velocity (ω), Absolute Pressure (P_Abs), Atmospheric Pressure (P_atm) & Height of Crack (h) we can find Radial Distance for Pressure at Any Point with Origin at Free Surface using the formula - Radial Distance from Central Axis = sqrt((2*[g]/Specific Weight of Liquid*(Angular Velocity^2))*(Absolute Pressure-Atmospheric Pressure+Specific Weight of Liquid*Height of Crack)). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Radial Distance from Central Axis?

Here are the different ways to Calculate Radial Distance from Central Axis-

Radial Distance from Central Axis=Centripetal acceleration/(Angular Velocity^2)

Can the Radial Distance for Pressure at Any Point with Origin at Free Surface be negative?

Yes, the Radial Distance for Pressure at Any Point with Origin at Free Surface, measured in Length can be negative.

Which unit is used to measure Radial Distance for Pressure at Any Point with Origin at Free Surface?

Radial Distance for Pressure at Any Point with Origin at Free Surface is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Distance for Pressure at Any Point with Origin at Free Surface can be measured.

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Radial Distance for Pressure at Any Point with Origin at Free Surface Formula

​GoRadial Distance given Centripetal Acceleration from Axis Formula

Radial Distance for Pressure at Any Point with Origin at Free Surface Example

Radial Distance for Pressure at Any Point with Origin at Free Surface Solution

Radial Distance for Pressure at Any Point with Origin at Free Surface Formula Elements

Other Formulas to find Radial Distance from Central Axis

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

How to Evaluate Radial Distance for Pressure at Any Point with Origin at Free Surface?

FAQs on Radial Distance for Pressure at Any Point with Origin at Free Surface

Variable Name

GoRadial Distance given Centripetal Acceleration from Axis Formula