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Angle of Inclination given drag force Calculator

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✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3).ⓘ Unit Weight of Fluid [γ_w]			+10% -10%
✖Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.ⓘ Specific Gravity of Sediment [G]			+10% -10%
✖The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.ⓘ Rugosity Coefficient [n]			+10% -10%
✖Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction.ⓘ Volume per Unit Area [t]			+10% -10%

✖Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.ⓘ Angle of Inclination given drag force [α_i]

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Formula

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Angle of Inclination given drag force

Formula

α i = a r \sin (\frac{F D}{γ w \cdot (G - 1) \cdot (1 - n) \cdot t})

Example

59.83416 ° = a r \sin (\frac{11.98 N}{9810 N/m³ \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 4.78 mm})

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Angle of Inclination given drag force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area))
α_i = arsin(F_D/(γ_w*(G-1)*(1-n)*t))
This formula uses 2 Functions, 6 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)
arsin - Arcsine 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., arsin(Number)

Variables Used

Angle of Inclination of Plane to Horizontal - (Measured in Radian) - Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3).
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Volume per Unit Area - (Measured in Meter) - Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 11.98 Newton --> 11.98 Newton No Conversion Required
Unit Weight of Fluid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Rugosity Coefficient: 0.015 --> No Conversion Required
Volume per Unit Area: 4.78 Millimeter --> 0.00478 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_i = arsin(F_D/(γ_w*(G-1)*(1-n)*t)) --> arsin(11.98/(9810*(1.3-1)*(1-0.015)*0.00478))

Evaluating ... ...

α_i = 1.04430302191521

STEP 3: Convert Result to Output's Unit

1.04430302191521 Radian -->59.8341556885109 Degree (Check conversion here)

FINAL ANSWER

59.8341556885109 ≈ 59.83416 Degree <-- Angle of Inclination of Plane to Horizontal

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Drag Force Calculators

Thickness of Sediment given Drag Force

Go Volume per Unit Area = (Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*sin(Angle of Inclination of Plane to Horizontal)))

Unit Weight of Water given Drag Force

Go Unit Weight of Fluid = (Drag Force/((Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))

Rugosity Coefficient given Drag Force

Go Rugosity Coefficient = 1-(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))

Drag Force Exerted by Flowing Water

Go Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)

Angle of Inclination given drag force Formula

What is drag force ?

Drag force is the resistance exerted by a fluid (such as air or water) against an object moving through it. This force opposes the motion and is influenced by factors like the object's shape, size, velocity, and the fluid's density and viscosity. Drag force is crucial in engineering for designing vehicles, structures, and systems where fluid flow impacts performance, such as in aerodynamics and hydrodynamics.

How to Calculate Angle of Inclination given drag force?

Angle of Inclination given drag force calculator uses Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)) to calculate the Angle of Inclination of Plane to Horizontal, The angle of Inclination given drag force is the angle formed by the inclination of one plane to another; measured in degrees or radians. Angle of Inclination of Plane to Horizontal is denoted by α_i symbol.

How to calculate Angle of Inclination given drag force using this online calculator? To use this online calculator for Angle of Inclination given drag force, enter Drag Force (F_D), Unit Weight of Fluid (γ_w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & Volume per Unit Area (t) and hit the calculate button. Here is how the Angle of Inclination given drag force calculation can be explained with given input values -> 3336.161 = arsin(11.98/(9810*(1.3-1)*(1-0.015)*0.00478)).

FAQ

What is Angle of Inclination given drag force?

The angle of Inclination given drag force is the angle formed by the inclination of one plane to another; measured in degrees or radians and is represented as α_i = arsin(F_D/(γ_w*(G-1)*(1-n)*t)) or Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)). Drag Force is the resisting force experienced by an object moving through a fluid, Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3), Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness, The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance & Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction.

How to calculate Angle of Inclination given drag force?

The angle of Inclination given drag force is the angle formed by the inclination of one plane to another; measured in degrees or radians is calculated using Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)). To calculate Angle of Inclination given drag force, you need Drag Force (F_D), Unit Weight of Fluid (γ_w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & Volume per Unit Area (t). With our tool, you need to enter the respective value for Drag Force, Unit Weight of Fluid, Specific Gravity of Sediment, Rugosity Coefficient & Volume per Unit Area 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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