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Length of Plumb Line Formula

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Length of plumb line can be described as the length of the pendulum. Check FAQs

l = \frac{d}{\tan (θ)}

l - Length of Plumb Line?d - Distance Moved?θ - Tiltting Angle of Body?

Length of Plumb Line Example

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Here is how the Length of Plumb Line equation looks like with Values.

Here is how the Length of Plumb Line equation looks like with Units.

Here is how the Length of Plumb Line equation looks like.

50.1893 = \frac{150}{\tan (71.5)}

50.1893m = \frac{150m}{\tan (71.5°)}

50.1893 = \frac{150}{\tan (71.5)}

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Length of Plumb Line Solution

Follow our step by step solution on how to calculate Length of Plumb Line?

FIRST Step Consider the formula

l = \frac{d}{\tan (θ)}

Next Step Substitute values of Variables

∴

l = \frac{150m}{\tan (71.5°)}

Next Step Convert Units

∴

l = \frac{150m}{\tan (1.2479rad)}

Next Step Prepare to Evaluate

∴

l = \frac{150}{\tan (1.2479)}

Next Step Evaluate

∴

l = 50.1892979253503m

LAST Step Rounding Answer

∴

l = 50.1893m

Length of Plumb Line Formula Elements

Variables

Functions

Length of Plumb Line

Length of plumb line can be described as the length of the pendulum.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Plumb Line

Distance Moved

Distance Moved can be described as the pendulum moved in a distance in horizontal scale.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Moved

Tiltting Angle of Body

Tiltting Angle of Body is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Tiltting Angle of Body

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Determination of Metacentric Height category

Go Distance Moved by Pendulum on Horizontal scale

d = l \cdot \tan (θ)

Go Angle Made by Pendulum

θ = a \tan (\frac{d}{l})

How to Evaluate Length of Plumb Line?

Length of Plumb Line evaluator uses Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body) to evaluate the Length of Plumb Line, The Length of Plumb Line is a line (as of cord) that has at one end a weight (such as a plumb bob) and is used especially to determine verticality. Length of Plumb Line is denoted by l symbol.

How to evaluate Length of Plumb Line using this online evaluator? To use this online evaluator for Length of Plumb Line, enter Distance Moved (d) & Tiltting Angle of Body (θ) and hit the calculate button.

FAQs on Length of Plumb Line

What is the formula to find Length of Plumb Line?

The formula of Length of Plumb Line is expressed as Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body). Here is an example- 50.1893 = 150/tan(1.24791041517571).

How to calculate Length of Plumb Line?

With Distance Moved (d) & Tiltting Angle of Body (θ) we can find Length of Plumb Line using the formula - Length of Plumb Line = Distance Moved/tan(Tiltting Angle of Body). This formula also uses Tangent (tan) function(s).

Can the Length of Plumb Line be negative?

Yes, the Length of Plumb Line, measured in Length can be negative.

Which unit is used to measure Length of Plumb Line?

Length of Plumb Line is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Plumb Line can be measured.

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Length of Plumb Line Formula

Length of Plumb Line Example

Length of Plumb Line Solution

Length of Plumb Line Formula Elements

Other formulas in Determination of Metacentric Height category

How to Evaluate Length of Plumb Line?

FAQs on Length of Plumb Line

Variable Name