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Coefficient of Drag given Settling Velocity of Spherical Particle Formula

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Coefficient of Drag given Settling Velocity is a dimensionless quantity that is used to quantify the drag or resistance of an object, considering settling velocity. Check FAQs

C ds = \frac{(\frac{4}{3}) \cdot (γ s - γ w) \cdot D}{ρ water \cdot {(v s)}^{2}}

C_ds - Coefficient of Drag given Settling Velocity?γ_s - Unit Weight of Particle?γ_w - Unit Weight of Water?D - Diameter?ρ_water - Water Density?v_s - Settling Velocity?

Coefficient of Drag given Settling Velocity of Spherical Particle Example

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Here is how the Coefficient of Drag given Settling Velocity of Spherical Particle equation looks like with Values.

Here is how the Coefficient of Drag given Settling Velocity of Spherical Particle equation looks like with Units.

Here is how the Coefficient of Drag given Settling Velocity of Spherical Particle equation looks like.

1.1259 = \frac{(\frac{4}{3}) \cdot (10 - 9810) \cdot 10}{1000 \cdot {(1.5)}^{2}}

1.1259 = \frac{(\frac{4}{3}) \cdot (10kN/m³ - 9810N/m³) \cdot 10m}{1000kg/m³ \cdot {(1.5m/s)}^{2}}

1.1259 = \frac{(\frac{4}{3}) \cdot (10 - 9810) \cdot 10}{1000 \cdot {(1.5)}^{2}}

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Coefficient of Drag given Settling Velocity of Spherical Particle Solution

Follow our step by step solution on how to calculate Coefficient of Drag given Settling Velocity of Spherical Particle?

FIRST Step Consider the formula

C ds = \frac{(\frac{4}{3}) \cdot (γ s - γ w) \cdot D}{ρ water \cdot {(v s)}^{2}}

Next Step Substitute values of Variables

∴

C ds = \frac{(\frac{4}{3}) \cdot (10kN/m³ - 9810N/m³) \cdot 10m}{1000kg/m³ \cdot {(1.5m/s)}^{2}}

Next Step Convert Units

∴

C ds = \frac{(\frac{4}{3}) \cdot (10000N/m³ - 9810N/m³) \cdot 10m}{1000kg/m³ \cdot {(1.5m/s)}^{2}}

Next Step Prepare to Evaluate

∴

C ds = \frac{(\frac{4}{3}) \cdot (10000 - 9810) \cdot 10}{1000 \cdot {(1.5)}^{2}}

Next Step Evaluate

∴

C ds = 1.12592592592593

LAST Step Rounding Answer

∴

C ds = 1.1259

Coefficient of Drag given Settling Velocity of Spherical Particle Formula Elements

Variables

Coefficient of Drag given Settling Velocity

Coefficient of Drag given Settling Velocity is a dimensionless quantity that is used to quantify the drag or resistance of an object, considering settling velocity.

Symbol: C_ds

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Drag given Settling Velocity

Unit Weight of Particle

Unit Weight of Particle is defined as weight per unit volume of the particle.

Symbol: γ_s

Measurement: Specific WeightUnit: kN/m³