Mass Density of Air given Drag Force due to Wind Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+10% -10%
✖Projected Area of the Vessel above the Waterline.ⓘ Projected Area of the Vessel [A]			+10% -10%
✖Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.ⓘ Wind Speed at Height of 10 m [V₁₀]			+10% -10%

✖Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.ⓘ Mass Density of Air given Drag Force due to Wind [ρ]

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Formula

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Mass Density of Air given Drag Force due to Wind

Formula

`"ρ" = "F"_{"D"}/(0.5*"C"_{"D"}*"A"*"V"_{"10"}^2)`

Example

`"2.644628kg/m³"="80N"/(0.5*"0.0025"*"50m²"*("22m/s")^2)`

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Mass Density of Air given Drag Force due to Wind Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)
ρ = F_D/(0.5*C_D*A*V₁₀^2)
This formula uses 5 Variables

Variables Used

Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Projected Area of the Vessel - (Measured in Square Meter) - Projected Area of the Vessel above the Waterline.
Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Drag Coefficient: 0.0025 --> No Conversion Required
Projected Area of the Vessel: 50 Square Meter --> 50 Square Meter No Conversion Required
Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = F_D/(0.5*C_D*A*V₁₀^2) --> 80/(0.5*0.0025*50*22^2)

Evaluating ... ...

ρ = 2.64462809917355

STEP 3: Convert Result to Output's Unit

2.64462809917355 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

2.64462809917355 ≈ 2.644628 Kilogram per Cubic Meter <-- Density of Air

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Mooring Forces » Mass Density of Air given Drag Force due to Wind

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Latitude given Velocity at Surface

Go Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth))

Angular velocity of Earth for velocity at surface

Go Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*sin(Latitude of the line))

Density of Water given Velocity at Surface

Go Density of Water = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Angular Speed of the Earth*sin(Latitude of the line))

Depth given Velocity at Surface

Go Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Density of Water*Angular Speed of the Earth*sin(Latitude of the line))

Velocity at Surface given Shear Stress at Water Surface

Go Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the line))

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

Go Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel))

Kinematic Viscosity of Water given Reynolds Number

Go Kinematic Viscosity = (Average Current Speed*Waterline Length of a Vessel*cos(Angle of the Current))/Reynolds Number

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current)

Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind

Go Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel))

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Vessel Draft))/1.7*Vessel Draft

Mass Density of Air given Drag Force due to Wind

Go Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

Go Drag Coefficient = Drag Force/(0.5*Air Density*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Projected Area of Vessel above Waterline given Drag Force due to Wind

Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Drag Coefficient*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Total Longitudinal Current Load on Vessel

Go Total Longitudinal Current Load on a Vessel = Form Drag of a Vessel+Skin Friction of a Vessel+Vessel Propeller Drag

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam

Vessel Beam given Expanded or Developed Blade Area of Propeller

Go Vessel Beam = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Waterline Length of a Vessel

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed blade area of a propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed blade area of a propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Elevation given Velocity at Desired Elevation

Go Desired Elevation = 10*(Velocity at the desired elevation z/Wind Speed at Height of 10 m)^1/0.11

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the desired elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation Z

Go Velocity at the desired elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Mass Density of Air given Drag Force due to Wind Formula

Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)
ρ = F_D/(0.5*C_D*A*V₁₀^2)

What is Mooring?

A mooring is any permanent structure to which a vessel may be secured. Examples include quays, wharfs, jetties, piers, anchor buoys, and mooring buoys. A ship is secured to a mooring to forestall free movement of the ship on the water.

What factors affect drag?

Drag is influenced by other factors including shape, texture, viscosity (which results in viscous drag or skin friction ), compressibility, lift (which causes induced drag ), boundary layer separation, and so on

How to Calculate Mass Density of Air given Drag Force due to Wind?

Mass Density of Air given Drag Force due to Wind calculator uses Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2) to calculate the Density of Air, The Mass density of air given Drag Force due to Wind depends on its temperature, its pressure and how much water vapor is in the air is a parameter influencing the wind load. Density of Air is denoted by ρ symbol.

How to calculate Mass Density of Air given Drag Force due to Wind using this online calculator? To use this online calculator for Mass Density of Air given Drag Force due to Wind, enter Drag Force (F_D), Drag Coefficient (C_D), Projected Area of the Vessel (A) & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button. Here is how the Mass Density of Air given Drag Force due to Wind calculation can be explained with given input values -> 2.644628 = 80/(0.5*0.0025*50*22^2).

FAQ

What is Mass Density of Air given Drag Force due to Wind?

The Mass density of air given Drag Force due to Wind depends on its temperature, its pressure and how much water vapor is in the air is a parameter influencing the wind load and is represented as ρ = F_D/(0.5*C_D*A*V₁₀^2) or Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2). Drag Force is the resisting force experienced by an object moving through a fluid, Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Projected Area of the Vessel above the Waterline & Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.

How to calculate Mass Density of Air given Drag Force due to Wind?

The Mass density of air given Drag Force due to Wind depends on its temperature, its pressure and how much water vapor is in the air is a parameter influencing the wind load is calculated using Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2). To calculate Mass Density of Air given Drag Force due to Wind, you need Drag Force (F_D), Drag Coefficient (C_D), Projected Area of the Vessel (A) & Wind Speed at Height of 10 m (V₁₀). With our tool, you need to enter the respective value for Drag Force, Drag Coefficient, Projected Area of the Vessel & Wind Speed at Height of 10 m and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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