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Average Current Speed given Skin Friction of Vessel Formula

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Average Current Speed for Skin Friction or calculating skin friction (or frictional resistance) on a vessel's hull, can vary widely depending on the type of vessel and its operational environment. Check FAQs

V cs = \sqrt{\frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot S \cdot \cos (θ c)}}

V_cs - Average Current Speed for Skin Friction?F_c,fric - Skin Friction of a Vessel?ρ_water - Water Density?c_f - Skin Friction Coefficient?S - Wetted Surface Area?θ_c - Angle of the Current?

Average Current Speed given Skin Friction of Vessel Example

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Here is how the Average Current Speed given Skin Friction of Vessel equation looks like with Values.

Here is how the Average Current Speed given Skin Friction of Vessel equation looks like with Units.

Here is how the Average Current Speed given Skin Friction of Vessel equation looks like.

0.2672 = \sqrt{\frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot 4 \cdot \cos (1.15)}}

0.2672m/s = \sqrt{\frac{42}{0.5 \cdot 1000kg/m³ \cdot 0.72 \cdot 4m² \cdot \cos (1.15)}}

0.2672 = \sqrt{\frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot 4 \cdot \cos (1.15)}}

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Average Current Speed given Skin Friction of Vessel Solution

Follow our step by step solution on how to calculate Average Current Speed given Skin Friction of Vessel?

FIRST Step Consider the formula

V cs = \sqrt{\frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot S \cdot \cos (θ c)}}

Next Step Substitute values of Variables

∴

V cs = \sqrt{\frac{42}{0.5 \cdot 1000kg/m³ \cdot 0.72 \cdot 4m² \cdot \cos (1.15)}}

Next Step Prepare to Evaluate

∴

V cs = \sqrt{\frac{42}{0.5 \cdot 1000 \cdot 0.72 \cdot 4 \cdot \cos (1.15)}}

Next Step Evaluate

∴

V cs = 0.267210823152114m/s

LAST Step Rounding Answer

∴

V cs = 0.2672m/s

Average Current Speed given Skin Friction of Vessel Formula Elements

Variables

Functions

Average Current Speed for Skin Friction

Average Current Speed for Skin Friction or calculating skin friction (or frictional resistance) on a vessel's hull, can vary widely depending on the type of vessel and its operational environment.

Symbol: V_cs

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Current Speed for Skin Friction

Skin Friction of a Vessel

Skin Friction of a Vessel is defined as the friction at the surface of a solid and a fluid in relative motion.

Symbol: F_c,fric

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Skin Friction of a Vessel

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Skin Friction Coefficient

Skin Friction Coefficient refers to the dimensionless parameter that quantifies the resistance between the surface of a structure and the surrounding soil or water.

Symbol: c_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Skin Friction Coefficient

Wetted Surface Area

Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

Symbol: S

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area

Angle of the Current

Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.

Symbol: θ_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle of the Current

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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.

Syntax: sqrt(Number)

Other formulas in Skin Friction category

Go Skin Friction of Vessel due to Flow of Water over Wetted Surface Area of Vessel

F c,fric = 0.5 \cdot ρ water \cdot c f \cdot S \cdot {V cs}^{2} \cdot \cos (θ c)

Go Skin Friction Coefficient given Skin Friction of Vessel

c f = \frac{F c,fric}{0.5 \cdot ρ water \cdot S \cdot {V cs}^{2} \cdot \cos (θ c)}

Go Wetted Surface Area of Vessel given Skin Friction

S = \frac{F c,fric}{0.5 \cdot ρ water \cdot c f \cdot {V cs}^{2} \cdot \cos (θ c)}

Go Skin Friction Coefficient as Function of Reynolds Number

c f = \frac{0.075}{{(\log 10 (Re m) - 2)}^{2}}

How to Evaluate Average Current Speed given Skin Friction of Vessel?

Average Current Speed given Skin Friction of Vessel evaluator uses Average Current Speed for Skin Friction = sqrt(Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Wetted Surface Area*cos(Angle of the Current))) to evaluate the Average Current Speed for Skin Friction, The Average Current Speed given Skin Friction of Vessel formula is defined as the effective speed at which a vessel moves through water, accounting for the resistance caused by skin friction. This denotes the mean speed of the water currents in which a vessel operates. Current speed can vary due to tidal fluctuations, wind-driven currents, and other factors. Average Current Speed for Skin Friction is denoted by V_cs symbol.

How to evaluate Average Current Speed given Skin Friction of Vessel using this online evaluator? To use this online evaluator for Average Current Speed given Skin Friction of Vessel, enter Skin Friction of a Vessel (F_c,fric), Water Density (ρ_water), Skin Friction Coefficient (c_f), Wetted Surface Area (S) & Angle of the Current (θ_c) and hit the calculate button.

FAQs on Average Current Speed given Skin Friction of Vessel

What is the formula to find Average Current Speed given Skin Friction of Vessel?

The formula of Average Current Speed given Skin Friction of Vessel is expressed as Average Current Speed for Skin Friction = sqrt(Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Wetted Surface Area*cos(Angle of the Current))). Here is an example- 0.267211 = sqrt(42/(0.5*1000*0.72*4*cos(1.15))).

How to calculate Average Current Speed given Skin Friction of Vessel?

With Skin Friction of a Vessel (F_c,fric), Water Density (ρ_water), Skin Friction Coefficient (c_f), Wetted Surface Area (S) & Angle of the Current (θ_c) we can find Average Current Speed given Skin Friction of Vessel using the formula - Average Current Speed for Skin Friction = sqrt(Skin Friction of a Vessel/(0.5*Water Density*Skin Friction Coefficient*Wetted Surface Area*cos(Angle of the Current))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

Can the Average Current Speed given Skin Friction of Vessel be negative?

No, the Average Current Speed given Skin Friction of Vessel, measured in Speed cannot be negative.

Which unit is used to measure Average Current Speed given Skin Friction of Vessel?

Average Current Speed given Skin Friction of Vessel is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Current Speed given Skin Friction of Vessel can be measured.

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Average Current Speed given Skin Friction of Vessel Formula

Average Current Speed given Skin Friction of Vessel Example

Average Current Speed given Skin Friction of Vessel Solution

Average Current Speed given Skin Friction of Vessel Formula Elements

Other formulas in Skin Friction category

How to Evaluate Average Current Speed given Skin Friction of Vessel?

FAQs on Average Current Speed given Skin Friction of Vessel

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