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Wind Speed at a Height 10 m when Wind Stress is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
wind_speed_10m_height = sqrt(Wind Stress/(Drag Coefficient*Density of air))
V10 = sqrt(τo/(CD*D))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Wind Stress - Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water. (Measured in Pascal)
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
Density of air - Density of air taken at standard conditions (Measured in Kilogram per Meter³)
STEP 1: Convert Input(s) to Base Unit
Wind Stress: 80 Pascal --> 80 Pascal No Conversion Required
Drag Coefficient: 100 --> No Conversion Required
Density of air: 2 Kilogram per Meter³ --> 2 Kilogram per Meter³ No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V10 = sqrt(τo/(CD*D)) --> sqrt(80/(100*2))
Evaluating ... ...
V10 = 0.632455532033676
STEP 3: Convert Result to Output's Unit
0.632455532033676 Meter per Second --> No Conversion Required
FINAL ANSWER
0.632455532033676 Meter per Second <-- Wind Speed at a Height of 10 m
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Power required for given aerodynamic coefficients
power = Weight*Freestream Velocity*Drag Coefficient/lift coefficient Go
Weight of aircraft for given coefficients of lift and drag
weight_si = lift coefficient*Thrust of an aircraft/Drag Coefficient Go
Coefficient of Lift for given thrust and weight
lift_coefficient = Weight*Drag Coefficient/Thrust of an aircraft Go
Thrust for given coefficients of lift and drag
thrust_aircraft = Drag Coefficient*Weight/lift coefficient Go
Thrust required for level, unaccelerated flight
thrust_aircraft = Dynamic Pressure*Area*Drag Coefficient Go
Dynamic pressure
dynamic_pressure = Drag Force/(Drag Coefficient*Area) Go
Drag for a level, unaccelerated flight at negligible thrust angle
drag_force = Dynamic Pressure*Area*Drag Coefficient Go
Drag force
drag_force = Drag Coefficient*Dynamic Pressure*Area Go
Parasite Drag Coefficient at zero lift
zero_lift_drag_coefficient = Drag Coefficient-Coefficient of drag due to lift Go
Coefficient of Lift for given thrust-to-weight ratio
lift_coefficient = Drag Coefficient/Thrust-to-weight ratio Go
Thrust-to-weight ratio
thrust_to_weight_ratio = Drag Coefficient/lift coefficient Go

1 Other formulas that calculate the same Output

Wind Speed at a Height 10 m when Drag Coefficient is Given
wind_speed_10m_height = (Drag Coefficient-0.00075)/0.000067 Go

Wind Speed at a Height 10 m when Wind Stress is Given Formula

wind_speed_10m_height = sqrt(Wind Stress/(Drag Coefficient*Density of air))
V10 = sqrt(τo/(CD*D))

What is Wind Stress?

In Physical Oceanography and Fluid Dynamics, the wind stress is the shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. It is the force component parallel to the surface, per unit area, as applied by the wind on the water surface.

How to Calculate Wind Speed at a Height 10 m when Wind Stress is Given?

Wind Speed at a Height 10 m when Wind Stress is Given calculator uses wind_speed_10m_height = sqrt(Wind Stress/(Drag Coefficient*Density of air)) to calculate the Wind Speed at a Height of 10 m, The Wind Speed at a Height 10 m when Wind Stress is Given is the ten-meter wind speed is measured ten meters above the top of the datum of consideration. Wind Speed at a Height of 10 m and is denoted by V10 symbol.

How to calculate Wind Speed at a Height 10 m when Wind Stress is Given using this online calculator? To use this online calculator for Wind Speed at a Height 10 m when Wind Stress is Given, enter Wind Stress o), Drag Coefficient (CD) and Density of air (D) and hit the calculate button. Here is how the Wind Speed at a Height 10 m when Wind Stress is Given calculation can be explained with given input values -> 0.632456 = sqrt(80/(100*2)).

FAQ

What is Wind Speed at a Height 10 m when Wind Stress is Given?
The Wind Speed at a Height 10 m when Wind Stress is Given is the ten-meter wind speed is measured ten meters above the top of the datum of consideration and is represented as V10 = sqrt(τo/(CD*D)) or wind_speed_10m_height = sqrt(Wind Stress/(Drag Coefficient*Density of air)). Wind Stress is the shear stress exerted by the wind on the surface of large bodies of water, 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 and Density of air taken at standard conditions.
How to calculate Wind Speed at a Height 10 m when Wind Stress is Given?
The Wind Speed at a Height 10 m when Wind Stress is Given is the ten-meter wind speed is measured ten meters above the top of the datum of consideration is calculated using wind_speed_10m_height = sqrt(Wind Stress/(Drag Coefficient*Density of air)). To calculate Wind Speed at a Height 10 m when Wind Stress is Given, you need Wind Stress o), Drag Coefficient (CD) and Density of air (D). With our tool, you need to enter the respective value for Wind Stress, Drag Coefficient and Density of air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Wind Speed at a Height of 10 m?
In this formula, Wind Speed at a Height of 10 m uses Wind Stress, Drag Coefficient and Density of air. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • wind_speed_10m_height = (Drag Coefficient-0.00075)/0.000067
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