Unit Weight of Water given Effective Weight of Particle Calculator

✖Unit Weight of Particle is defined as weight per unit volume of the particle.ⓘ Unit Weight of Particle [γ_s]			+10% -10%
✖Effective Weight of Particle is difference between total weight and buoyancy.ⓘ Effective Weight of Particle [W_p]			+10% -10%
✖Radius of Particle is the distance from the center of a spherical particle to its outer edge.ⓘ Radius [r]			+10% -10%

✖Unit Weight of Water is the ratio of total weight to the total volume of water.ⓘ Unit Weight of Water given Effective Weight of Particle [γ_w]

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Unit Weight of Water given Effective Weight of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3))
γ_w = γ_s-(W_p/((4/3)*pi*(r)^3))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Unit Weight of Water - (Measured in Newton per Cubic Meter) - Unit Weight of Water is the ratio of total weight to the total volume of water.
Unit Weight of Particle - (Measured in Newton per Cubic Meter) - Unit Weight of Particle is defined as weight per unit volume of the particle.
Effective Weight of Particle - (Measured in Kilogram) - Effective Weight of Particle is difference between total weight and buoyancy.
Radius - (Measured in Meter) - Radius of Particle is the distance from the center of a spherical particle to its outer edge.

STEP 1: Convert Input(s) to Base Unit

Unit Weight of Particle: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Effective Weight of Particle: 0.099 Gram --> 9.9E-05 Kilogram (Check conversion here)
Radius: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_w = γ_s-(W_p/((4/3)*pi*(r)^3)) --> 10000-(9.9E-05/((4/3)*pi*(2)^3))

Evaluating ... ...

γ_w = 9999.99999704569

STEP 3: Convert Result to Output's Unit

9999.99999704569 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

9999.99999704569 ≈ 10000 Newton per Cubic Meter <-- Unit Weight of Water

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Effective Weight of Particle Calculators

Effective Weight of Particle

LaTeX Go Effective Weight of Particle = ((4/3)*pi*(Radius of Particle)^3)*(Unit Weight of Particle-Unit Weight of Water)

Unit weight of Particle given Effective Weight of Particle

LaTeX Go Unit Weight of Particle = (Effective Weight of Particle/((4/3)*pi*(Radius)^3))+Unit Weight of Water

Unit Weight of Water given Effective Weight of Particle

LaTeX Go Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3))

Effective Weight of Particle given Buoyancy

LaTeX Go Effective Weight of Particle = Total Weight of Particle-Force due to Buoyancy

Unit Weight of Water given Effective Weight of Particle Formula

LaTeX Go

Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3))
γ_w = γ_s-(W_p/((4/3)*pi*(r)^3))

What is Unit Weight of Water?

The specific weight, also known as the unit weight, is the weight per unit volume of a material. A commonly used value is the specific weight of water on Earth at 4°C, which is 9.807 kN/m3 or 62.43 lbf/ft3. A common symbol for specific weight is γ

How to Calculate Unit Weight of Water given Effective Weight of Particle?

Unit Weight of Water given Effective Weight of Particle calculator uses Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3)) to calculate the Unit Weight of Water, The Unit Weight of Water given Effective Weight of Particle formula is defined as the calculation of the unit weight of water when we have prior information of effective weight of particle. Unit Weight of Water is denoted by γ_w symbol.

How to calculate Unit Weight of Water given Effective Weight of Particle using this online calculator? To use this online calculator for Unit Weight of Water given Effective Weight of Particle, enter Unit Weight of Particle (γ_s), Effective Weight of Particle (W_p) & Radius (r) and hit the calculate button. Here is how the Unit Weight of Water given Effective Weight of Particle calculation can be explained with given input values -> 9999.94 = 10000-(9.9E-05/((4/3)*pi*(2)^3)).

FAQ

What is Unit Weight of Water given Effective Weight of Particle?

The Unit Weight of Water given Effective Weight of Particle formula is defined as the calculation of the unit weight of water when we have prior information of effective weight of particle and is represented as γ_w = γ_s-(W_p/((4/3)*pi*(r)^3)) or Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3)). Unit Weight of Particle is defined as weight per unit volume of the particle, Effective Weight of Particle is difference between total weight and buoyancy & Radius of Particle is the distance from the center of a spherical particle to its outer edge.

How to calculate Unit Weight of Water given Effective Weight of Particle?

The Unit Weight of Water given Effective Weight of Particle formula is defined as the calculation of the unit weight of water when we have prior information of effective weight of particle is calculated using Unit Weight of Water = Unit Weight of Particle-(Effective Weight of Particle/((4/3)*pi*(Radius)^3)). To calculate Unit Weight of Water given Effective Weight of Particle, you need Unit Weight of Particle (γ_s), Effective Weight of Particle (W_p) & Radius (r). With our tool, you need to enter the respective value for Unit Weight of Particle, Effective Weight of Particle & Radius 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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