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Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Formula

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

P atm = P ab,H + y \cdot h \cdot (1 + \frac{α v}{[g]})

P_atm - Atmospheric Pressure?P_ab,H - Absolute Pressure for Both Direction?y - Specific Weight of Liquid?h - Height of Crack?α_v - Constant Vertical Acceleration?[g] - Gravitational acceleration on Earth?

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Example

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Here is how the Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration equation looks like with Values.

Here is how the Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration equation looks like with Units.

Here is how the Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration equation looks like.

696868.5259 = 300000 + 9.81 \cdot 20000 \cdot (1 + \frac{10.03}{9.8066})

696868.5259Pa = 300000Pa + 9.81kN/m³ \cdot 20000mm \cdot (1 + \frac{10.03m/s²}{9.8066m/s²})

696868.5259 = 300000 + 9.81 \cdot 20000 \cdot (1 + \frac{10.03}{9.8066})

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Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Solution

Follow our step by step solution on how to calculate Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

FIRST Step Consider the formula

P atm = P ab,H + y \cdot h \cdot (1 + \frac{α v}{[g]})

Next Step Substitute values of Variables

∴

P atm = 300000Pa + 9.81kN/m³ \cdot 20000mm \cdot (1 + \frac{10.03m/s²}{[g]})

Next Step Substitute values of Constants

∴

P atm = 300000Pa + 9.81kN/m³ \cdot 20000mm \cdot (1 + \frac{10.03m/s²}{9.8066m/s²})

Next Step Convert Units

∴

P atm = 300000Pa + 9810N/m³ \cdot 20m \cdot (1 + \frac{10.03m/s²}{9.8066m/s²})

Next Step Prepare to Evaluate

∴

P atm = 300000 + 9810 \cdot 20 \cdot (1 + \frac{10.03}{9.8066})

Next Step Evaluate

∴

P atm = 696868.525949228Pa

LAST Step Rounding Answer

∴

P atm = 696868.5259Pa

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Formula Elements

Variables

Constants

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

Absolute Pressure for Both Direction

Absolute Pressure for Both Direction refers to any pressure detected above the absolute zero of pressure.

Symbol: P_ab,H

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Absolute Pressure for Both Direction

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

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

Constant Vertical Acceleration

Constant Vertical Acceleration refers to the vertical upward acceleration of tank.

Symbol: α_v

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Constant Vertical Acceleration

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

Other formulas in Liquid Containers Subjected To Constant Vertical Acceleration category

Go Pressure at Any Point in Liquids

P ab,H = P atm + y \cdot h \cdot (1 + \frac{α v}{[g]})

Go Specific Weight of Liquid given Pressure at point in Liquid

y = \frac{P ab,H - P atm}{h \cdot (1 + \frac{α v}{[g]})}

Go Vertical Depth below Free Surface given Pressure at point in Liquid

h = \frac{P ab,H - P atm}{y \cdot (1 + \frac{α v}{[g]})}

Go Constant Vertical Upward Acceleration given Pressure at any Point in Liquid

α v = ((\frac{P ab,H - P atm}{y \cdot h}) - 1) \cdot [g]

How to Evaluate Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration evaluator uses Atmospheric Pressure = Absolute Pressure for Both Direction+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]) to evaluate the Atmospheric Pressure, The Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration formula is defined as the pressure exerted by atmosphere on free surface of liquid. Atmospheric Pressure is denoted by P_atm symbol.

How to evaluate Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration using this online evaluator? To use this online evaluator for Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration, enter Absolute Pressure for Both Direction (P_ab,H), Specific Weight of Liquid (y), Height of Crack (h) & Constant Vertical Acceleration (α_v) and hit the calculate button.

FAQs on Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration

What is the formula to find Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

The formula of Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration is expressed as Atmospheric Pressure = Absolute Pressure for Both Direction+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]). Here is an example- 696868.5 = 300000+9810*20*(1+10.03/[g]).

How to calculate Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

With Absolute Pressure for Both Direction (P_ab,H), Specific Weight of Liquid (y), Height of Crack (h) & Constant Vertical Acceleration (α_v) we can find Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration using the formula - Atmospheric Pressure = Absolute Pressure for Both Direction+Specific Weight of Liquid*Height of Crack*(1+Constant Vertical Acceleration/[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration be negative?

Yes, the Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration, measured in Pressure can be negative.

Which unit is used to measure Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration 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 Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration can be measured.

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Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Formula

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Example

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Solution

Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration Formula Elements

Other formulas in Liquid Containers Subjected To Constant Vertical Acceleration category

How to Evaluate Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration?

FAQs on Atmospheric Pressure given Pressure at Any Point in Liquid in Constant Vertical Acceleration

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