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Mass Density of Steel for Tension on Vertical Drill String Formula

GoMass Density of Steel when Buoyant Force acts in Direction opposite to Gravity Force Formula

GoMass Density of Steel for Lower Section of Drill String Length in Compression Formula

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Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3. Check FAQs

ρ s = \frac{T}{[g] \cdot A s \cdot (L Well - z)}

ρ_s - Mass Density of Steel?T - Tension on Vertical Drill String?A_s - Cross Section Area of Steel in Pipe?L_Well - Length of Pipe Hanging in Well?z - Coordinate measured Downward from Top?[g] - Gravitational acceleration on Earth?

Mass Density of Steel for Tension on Vertical Drill String Example

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Here is how the Mass Density of Steel for Tension on Vertical Drill String equation looks like with Values.

Here is how the Mass Density of Steel for Tension on Vertical Drill String equation looks like with Units.

Here is how the Mass Density of Steel for Tension on Vertical Drill String equation looks like.

7750.0001 = \frac{494.01}{9.8066 \cdot 0.65 \cdot (16 - 6)}

7750.0001kg/m³ = \frac{494.01kN}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)}

7750.0001 = \frac{494.01}{9.8066 \cdot 0.65 \cdot (16 - 6)}

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Mass Density of Steel for Tension on Vertical Drill String Solution

Follow our step by step solution on how to calculate Mass Density of Steel for Tension on Vertical Drill String?

FIRST Step Consider the formula

ρ s = \frac{T}{[g] \cdot A s \cdot (L Well - z)}

Next Step Substitute values of Variables

∴

ρ s = \frac{494.01kN}{[g] \cdot 0.65m² \cdot (16m - 6)}

Next Step Substitute values of Constants

∴

ρ s = \frac{494.01kN}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)}

Next Step Convert Units

∴

ρ s = \frac{494010N}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)}

Next Step Prepare to Evaluate

∴

ρ s = \frac{494010}{9.8066 \cdot 0.65 \cdot (16 - 6)}

Next Step Evaluate

∴

ρ s = 7750.00009804964kg/m³

LAST Step Rounding Answer

∴

ρ s = 7750.0001kg/m³

Mass Density of Steel for Tension on Vertical Drill String Formula Elements

Variables

Constants

Mass Density of Steel

Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3.

Symbol: ρ_s

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Mass Density of Steel

Tension on Vertical Drill String

Tension on Vertical Drill String is described as the pulling force transmitted axially by the means of a string, a cable, chain, or similar object.

Symbol: T

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Tension on Vertical Drill String

Cross Section Area of Steel in Pipe

Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Section Area of Steel in Pipe

Length of Pipe Hanging in Well

Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.

Symbol: L_Well

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe Hanging in Well

Coordinate measured Downward from Top

Coordinate measured Downward from Top depends on tension on a Vertical Drill String.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coordinate measured Downward from Top

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Mass Density of Steel

Go Mass Density of Steel when Buoyant Force acts in Direction opposite to Gravity Force

ρ s = (\frac{T e}{[g] \cdot A s \cdot (L Well - z)} + ρ m)

Go Mass Density of Steel for Lower Section of Drill String Length in Compression

ρ s = \frac{ρ m \cdot L Well}{L c}

Other formulas in Hydrostatics category

Go Tension on Vertical Drill String

T = ρ s \cdot [g] \cdot A s \cdot (L Well - z)

Go Coordinate measured Downward from Top given Tension on Vertical Drill String

z = - ((\frac{T}{ρ s \cdot [g] \cdot A s}) - L Well)

Go Cross Section Area of Steel in Pipe given Tension on Vertical Drill String

A s = \frac{T}{ρ s \cdot [g] \cdot (L Well - z)}

Go Length of Pipe Hanging in Well given Tension on Vertical Drill String

L Well = (\frac{T}{ρ s \cdot [g] \cdot A s}) + z

How to Evaluate Mass Density of Steel for Tension on Vertical Drill String?

Mass Density of Steel for Tension on Vertical Drill String evaluator uses Mass Density of Steel = Tension on Vertical Drill String/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)) to evaluate the Mass Density of Steel, The Mass Density of Steel for Tension on Vertical Drill String varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3 . Mass Density of Steel is denoted by ρ_s symbol.

How to evaluate Mass Density of Steel for Tension on Vertical Drill String using this online evaluator? To use this online evaluator for Mass Density of Steel for Tension on Vertical Drill String, enter Tension on Vertical Drill String (T), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well) & Coordinate measured Downward from Top (z) and hit the calculate button.

FAQs on Mass Density of Steel for Tension on Vertical Drill String

What is the formula to find Mass Density of Steel for Tension on Vertical Drill String?

The formula of Mass Density of Steel for Tension on Vertical Drill String is expressed as Mass Density of Steel = Tension on Vertical Drill String/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)). Here is an example- 7750 = 494010/([g]*0.65*(16-6)).

How to calculate Mass Density of Steel for Tension on Vertical Drill String?

With Tension on Vertical Drill String (T), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well) & Coordinate measured Downward from Top (z) we can find Mass Density of Steel for Tension on Vertical Drill String using the formula - Mass Density of Steel = Tension on Vertical Drill String/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Mass Density of Steel?

Here are the different ways to Calculate Mass Density of Steel-

Mass Density of Steel=(Effective Tension/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))+Density of Drilling Mud)
Mass Density of Steel=(Density of Drilling Mud*Length of Pipe Hanging in Well)/Lower Section of Drill String Length

Can the Mass Density of Steel for Tension on Vertical Drill String be negative?

Yes, the Mass Density of Steel for Tension on Vertical Drill String, measured in Mass Concentration can be negative.

Which unit is used to measure Mass Density of Steel for Tension on Vertical Drill String?

Mass Density of Steel for Tension on Vertical Drill String is usually measured using the Kilogram per Cubic Meter[kg/m³] for Mass Concentration. Kilogram per Liter[kg/m³], Gram per Liter[kg/m³], Milligram per Liter[kg/m³] are the few other units in which Mass Density of Steel for Tension on Vertical Drill String can be measured.

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Mass Density of Steel for Tension on Vertical Drill String Formula

​GoMass Density of Steel when Buoyant Force acts in Direction opposite to Gravity Force Formula

​GoMass Density of Steel for Lower Section of Drill String Length in Compression Formula

Mass Density of Steel for Tension on Vertical Drill String Example

Mass Density of Steel for Tension on Vertical Drill String Solution

Mass Density of Steel for Tension on Vertical Drill String Formula Elements

Other Formulas to find Mass Density of Steel

Other formulas in Hydrostatics category

How to Evaluate Mass Density of Steel for Tension on Vertical Drill String?

FAQs on Mass Density of Steel for Tension on Vertical Drill String

Variable Name

GoMass Density of Steel when Buoyant Force acts in Direction opposite to Gravity Force Formula

GoMass Density of Steel for Lower Section of Drill String Length in Compression Formula