Horizontal Distance given Shear Stress Distribution Profile Calculator

✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance given Shear Stress Distribution Profile [R]

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Formula

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Horizontal Distance given Shear Stress Distribution Profile

Formula

R = \frac{w}{2} + (\frac{𝜏}{dp|dr})

Example

6.976471 m = \frac{3 m}{2} + (\frac{93.1 Pa}{17 N/m³})

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Horizontal Distance given Shear Stress Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
R = w/2+(𝜏/dp|dr)
This formula uses 4 Variables

Variables Used

Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

STEP 1: Convert Input(s) to Base Unit

Width: 3 Meter --> 3 Meter No Conversion Required
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = w/2+(𝜏/dp|dr) --> 3/2+(93.1/17)

Evaluating ... ...

R = 6.97647058823529

STEP 3: Convert Result to Output's Unit

6.97647058823529 Meter --> No Conversion Required

FINAL ANSWER

6.97647058823529 ≈ 6.976471 Meter <-- Horizontal Distance

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Maximum Velocity between Plates

Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Horizontal Distance given Shear Stress Distribution Profile Formula

Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient)
R = w/2+(𝜏/dp|dr)

What is Pressure Gradient?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Horizontal Distance given Shear Stress Distribution Profile?

Horizontal Distance given Shear Stress Distribution Profile calculator uses Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient) to calculate the Horizontal Distance, The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated. Horizontal Distance is denoted by R symbol.

How to calculate Horizontal Distance given Shear Stress Distribution Profile using this online calculator? To use this online calculator for Horizontal Distance given Shear Stress Distribution Profile, enter Width (w), Shear Stress (𝜏) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Horizontal Distance given Shear Stress Distribution Profile calculation can be explained with given input values -> 6.976471 = 3/2+(93.1/17).

FAQ

What is Horizontal Distance given Shear Stress Distribution Profile?

The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated and is represented as R = w/2+(𝜏/dp|dr) or Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient). Width is the measurement or extent of something from side to side, The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress & The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

How to calculate Horizontal Distance given Shear Stress Distribution Profile?

The Horizontal Distance given Shear Stress Distribution Profile is defined as the distance where shear stress is calculated is calculated using Horizontal Distance = Width/2+(Shear Stress/Pressure Gradient). To calculate Horizontal Distance given Shear Stress Distribution Profile, you need Width (w), Shear Stress (𝜏) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Width, Shear Stress & Pressure Gradient 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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