Polar Coordinate given Surface Pressure Coefficient Calculator

✖Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.ⓘ Pressure Coefficient [C_p]

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✖Polar Angle is the angular position of a point from a reference direction.ⓘ Polar Coordinate given Surface Pressure Coefficient [θ]

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Polar Coordinate given Surface Pressure Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient)))
θ = asin(sqrt(4/9*(1-C_p)))
This formula uses 3 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Polar Angle - (Measured in Radian) - Polar Angle is the angular position of a point from a reference direction.
Pressure Coefficient - Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.

STEP 1: Convert Input(s) to Base Unit

Pressure Coefficient: 0.066 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = asin(sqrt(4/9*(1-C_p))) --> asin(sqrt(4/9*(1-0.066)))

Evaluating ... ...

θ = 0.700096078967742

STEP 3: Convert Result to Output's Unit

0.700096078967742 Radian --> No Conversion Required

FINAL ANSWER

0.700096078967742 ≈ 0.700096 Radian <-- Polar Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

Ravi Khiyani has created this Calculator and 200+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Pressure Coefficient Calculators

Polar Coordinate given Surface Pressure Coefficient

LaTeX Go Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient)))

Surface Pressure Coefficient for Flow over Sphere

LaTeX Go Pressure Coefficient = 1-9/4*(sin(Polar Angle))^2

Polar Coordinate given Surface Pressure Coefficient Formula

LaTeX Go

Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient)))
θ = asin(sqrt(4/9*(1-C_p)))

What is the pressure coefficient?

The pressure coefficient is the dimensionless pressure used in aerodynamics. It is obtained as the ratio of the difference between surface pressure & free-stream pressure to the free stream dynamic pressure.

How to Calculate Polar Coordinate given Surface Pressure Coefficient?

Polar Coordinate given Surface Pressure Coefficient calculator uses Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient))) to calculate the Polar Angle, The Polar Coordinate given Surface Pressure Coefficient formula calculates the polar coordinate of the location over the surface of the sphere of which the surface pressure coefficient is known. Polar Angle is denoted by θ symbol.

How to calculate Polar Coordinate given Surface Pressure Coefficient using this online calculator? To use this online calculator for Polar Coordinate given Surface Pressure Coefficient, enter Pressure Coefficient (C_p) and hit the calculate button. Here is how the Polar Coordinate given Surface Pressure Coefficient calculation can be explained with given input values -> 0.302746 = asin(sqrt(4/9*(1-0.066))).

FAQ

What is Polar Coordinate given Surface Pressure Coefficient?

The Polar Coordinate given Surface Pressure Coefficient formula calculates the polar coordinate of the location over the surface of the sphere of which the surface pressure coefficient is known and is represented as θ = asin(sqrt(4/9*(1-C_p))) or Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient))). Pressure coefficient defines the value of local pressure at a point in terms of free stream pressure and dynamic pressure.

How to calculate Polar Coordinate given Surface Pressure Coefficient?

The Polar Coordinate given Surface Pressure Coefficient formula calculates the polar coordinate of the location over the surface of the sphere of which the surface pressure coefficient is known is calculated using Polar Angle = asin(sqrt(4/9*(1-Pressure Coefficient))). To calculate Polar Coordinate given Surface Pressure Coefficient, you need Pressure Coefficient (C_p). With our tool, you need to enter the respective value for Pressure Coefficient 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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