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Mach Number given Impact and Static Pressure Formula

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Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound. Check FAQs

M = {(5 \cdot ({(\frac{q c}{p st} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

M - Mach Number?q_c - Impact Pressure?p_st - Static Pressure?

Mach Number given Impact and Static Pressure Example

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Here is how the Mach Number given Impact and Static Pressure equation looks like with Values.

Here is how the Mach Number given Impact and Static Pressure equation looks like with Units.

Here is how the Mach Number given Impact and Static Pressure equation looks like.

1.0547 = {(5 \cdot ({(\frac{255}{250} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

1.0547 = {(5 \cdot ({(\frac{255Pa}{250Pa} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

1.0547 = {(5 \cdot ({(\frac{255}{250} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

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Mach Number given Impact and Static Pressure Solution

Follow our step by step solution on how to calculate Mach Number given Impact and Static Pressure?

FIRST Step Consider the formula

M = {(5 \cdot ({(\frac{q c}{p st} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

Next Step Substitute values of Variables

∴

M = {(5 \cdot ({(\frac{255Pa}{250Pa} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

Next Step Prepare to Evaluate

∴

M = {(5 \cdot ({(\frac{255}{250} + 1)}^{\frac{2}{7}} - 1))}^{0.5}

Next Step Evaluate

∴

M = 1.05471366267165

LAST Step Rounding Answer

∴

M = 1.0547

Mach Number given Impact and Static Pressure Formula Elements

Variables

Mach Number

Mach Number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Impact Pressure

Impact Pressure is the difference between total pressure and static pressure.

Symbol: q_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Impact Pressure

Static Pressure

Static Pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.

Symbol: p_st

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure

Other formulas in Normal Shock Relations category

Go Downstream Velocity using Prandtl Relation

V 2 = \frac{{a cr}^{2}}{V 1}

Go Characteristic Mach Number

M cr = \frac{u f}{a cr}

Go Relation between Mach Number and Characteristic Mach Number

M cr = {(\frac{γ + 1}{γ - 1 + \frac{2}{M^{2}}})}^{0.5}

Go Upstream Velocity using Prandtl Relation

V 1 = \frac{{a cr}^{2}}{V 2}

How to Evaluate Mach Number given Impact and Static Pressure?

Mach Number given Impact and Static Pressure evaluator uses Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5) to evaluate the Mach Number, The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure. Mach Number is denoted by M symbol.

How to evaluate Mach Number given Impact and Static Pressure using this online evaluator? To use this online evaluator for Mach Number given Impact and Static Pressure, enter Impact Pressure (q_c) & Static Pressure (p_st) and hit the calculate button.

FAQs on Mach Number given Impact and Static Pressure

What is the formula to find Mach Number given Impact and Static Pressure?

The formula of Mach Number given Impact and Static Pressure is expressed as Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5). Here is an example- 0.23737 = (5*((255/250+1)^(2/7)-1))^(0.5).

How to calculate Mach Number given Impact and Static Pressure?

With Impact Pressure (q_c) & Static Pressure (p_st) we can find Mach Number given Impact and Static Pressure using the formula - Mach Number = (5*((Impact Pressure/Static Pressure+1)^(2/7)-1))^(0.5).

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Mach Number given Impact and Static Pressure Formula

Mach Number given Impact and Static Pressure Example

Mach Number given Impact and Static Pressure Solution

Mach Number given Impact and Static Pressure Formula Elements

Other formulas in Normal Shock Relations category

How to Evaluate Mach Number given Impact and Static Pressure?

FAQs on Mach Number given Impact and Static Pressure

Variable Name