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Force exerted by body on supersonic plane Formula

GoTotal force exerted by fluid on body Formula

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Force on fluid element is the sum of pressure and shear forces acting on it within a fluid system. Check FAQs

F = (ρ \cdot ({ΔL}^{2}) \cdot (v^{2})) \cdot (\frac{μ d}{ρ \cdot v \cdot ΔL}) \cdot (\frac{K}{ρ \cdot v^{2}})

F - Force?ρ - Density of Fluid Circulating?ΔL - Length of Aeroplane?v - Velocity of Body or Fluid?μ_d - Dynamic Viscosity of Fluid?K - Bulk Modulus?

Force exerted by body on supersonic plane Example

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Here is how the Force exerted by body on supersonic plane equation looks like with Values.

Here is how the Force exerted by body on supersonic plane equation looks like with Units.

Here is how the Force exerted by body on supersonic plane equation looks like.

1269.499 = (1.21 \cdot (3277^{2}) \cdot (32^{2})) \cdot (\frac{0.075}{1.21 \cdot 32 \cdot 3277}) \cdot (\frac{2000}{1.21 \cdot 32^{2}})

1269.499N = (1.21kg/m³ \cdot ({3277m}^{2}) \cdot ({32m/s}^{2})) \cdot (\frac{0.075P}{1.21kg/m³ \cdot 32m/s \cdot 3277m}) \cdot (\frac{2000Pa}{1.21kg/m³ \cdot {32m/s}^{2}})

1269.499 = (1.21 \cdot (3277^{2}) \cdot (32^{2})) \cdot (\frac{0.075}{1.21 \cdot 32 \cdot 3277}) \cdot (\frac{2000}{1.21 \cdot 32^{2}})

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Force exerted by body on supersonic plane Solution

Follow our step by step solution on how to calculate Force exerted by body on supersonic plane?

FIRST Step Consider the formula

F = (ρ \cdot ({ΔL}^{2}) \cdot (v^{2})) \cdot (\frac{μ d}{ρ \cdot v \cdot ΔL}) \cdot (\frac{K}{ρ \cdot v^{2}})

Next Step Substitute values of Variables

∴

F = (1.21kg/m³ \cdot ({3277m}^{2}) \cdot ({32m/s}^{2})) \cdot (\frac{0.075P}{1.21kg/m³ \cdot 32m/s \cdot 3277m}) \cdot (\frac{2000Pa}{1.21kg/m³ \cdot {32m/s}^{2}})

Next Step Convert Units

∴

F = (1.21kg/m³ \cdot ({3277m}^{2}) \cdot ({32m/s}^{2})) \cdot (\frac{0.0075Pa*s}{1.21kg/m³ \cdot 32m/s \cdot 3277m}) \cdot (\frac{2000Pa}{1.21kg/m³ \cdot {32m/s}^{2}})

Next Step Prepare to Evaluate

∴

F = (1.21 \cdot (3277^{2}) \cdot (32^{2})) \cdot (\frac{0.0075}{1.21 \cdot 32 \cdot 3277}) \cdot (\frac{2000}{1.21 \cdot 32^{2}})

Next Step Evaluate

∴

F = 1269.49896694215N

LAST Step Rounding Answer

∴

F = 1269.499N

Force exerted by body on supersonic plane Formula Elements

Variables

Force

Force on fluid element is the sum of pressure and shear forces acting on it within a fluid system.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force

Density of Fluid Circulating

Density of Fluid Circulating is the density of the fluid that is circulating or say flowing around a body.

Symbol: ρ

Measurement: DensityUnit: kg/m³