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Weight of Body given Righting Couple Formula

GoWeight of Body given Restoring Couple Formula

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Weight of Body is the force acting on the object due to gravity. Check FAQs

W body = \frac{R Righting Couple}{x \cdot (D \cdot (\frac{180}{π}))}

W_body - Weight of Body?R_{Righting Couple} - Righting Couple?x - Distance from submerged to Floating Body?D - Angle Between Bodies?π - Archimedes' constant?

Weight of Body given Righting Couple Example

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Here is how the Weight of Body given Righting Couple equation looks like with Values.

Here is how the Weight of Body given Righting Couple equation looks like with Units.

Here is how the Weight of Body given Righting Couple equation looks like.

18.0014 = \frac{12961}{8 \cdot (90 \cdot (\frac{180}{3.1416}))}

18.0014N = \frac{12961N*m}{8m \cdot (90° \cdot (\frac{180}{3.1416}))}

18.0014 = \frac{12961}{8 \cdot (90 \cdot (\frac{180}{3.1416}))}

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Weight of Body given Righting Couple Solution

Follow our step by step solution on how to calculate Weight of Body given Righting Couple?

FIRST Step Consider the formula

W body = \frac{R Righting Couple}{x \cdot (D \cdot (\frac{180}{π}))}

Next Step Substitute values of Variables

∴

W body = \frac{12961N*m}{8m \cdot (90° \cdot (\frac{180}{π}))}

Next Step Substitute values of Constants

∴

W body = \frac{12961N*m}{8m \cdot (90° \cdot (\frac{180}{3.1416}))}

Next Step Convert Units

∴

W body = \frac{12961N*m}{8m \cdot (1.5708rad \cdot (\frac{180}{3.1416}))}

Next Step Prepare to Evaluate

∴

W body = \frac{12961}{8 \cdot (1.5708 \cdot (\frac{180}{3.1416}))}

Next Step Evaluate

∴

W body = 18.0013888888923N

LAST Step Rounding Answer

∴

W body = 18.0014N

Weight of Body given Righting Couple Formula Elements

Variables

Constants

Weight of Body

Weight of Body is the force acting on the object due to gravity.

Symbol: W_body

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body

Righting Couple

Righting couple is the coil turns under the action of deflecting torque.

Symbol: R_{Righting Couple}

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Righting Couple

Distance from submerged to Floating Body

Distance from submerged to Floating Body at any point along the perpendicular axis.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from submerged to Floating Body

Angle Between Bodies

Angle Between Bodies is the space between two intersecting lines or surfaces at or close to the point where they meet.

Symbol: D

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle Between Bodies

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Weight of Body

Go Weight of Body given Restoring Couple

W body = \frac{R Restoring Couple}{x \cdot (D \cdot (\frac{180}{π}))}

Other formulas in Stability of Submerged and Floating Bodies category

Go Restoring Couple when Floating Body in Stable Equilibrium

R Restoring Couple = (W body \cdot x \cdot (D \cdot (\frac{180}{π})))

Go Righting Couple when Floating Body in Unstable Equilibrium

R Righting Couple = (W body \cdot x \cdot (D \cdot (\frac{180}{π})))

How to Evaluate Weight of Body given Righting Couple?

Weight of Body given Righting Couple evaluator uses Weight of Body = Righting Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))) to evaluate the Weight of Body, The Weight of Body given Righting Couple can be represented as the weight of the prism present in the fluid usually measured in kilograms. Weight of Body is denoted by W_body symbol.

How to evaluate Weight of Body given Righting Couple using this online evaluator? To use this online evaluator for Weight of Body given Righting Couple, enter Righting Couple (R_{Righting Couple}), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) and hit the calculate button.

FAQs on Weight of Body given Righting Couple

What is the formula to find Weight of Body given Righting Couple?

The formula of Weight of Body given Righting Couple is expressed as Weight of Body = Righting Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). Here is an example- 20.00139 = 12961/(8*(1.5707963267946*(180/pi))).

How to calculate Weight of Body given Righting Couple?

With Righting Couple (R_{Righting Couple}), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) we can find Weight of Body given Righting Couple using the formula - Weight of Body = Righting Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). This formula also uses Archimedes' constant .

What are the other ways to Calculate Weight of Body?

Here are the different ways to Calculate Weight of Body-

Weight of Body=Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi)))

Can the Weight of Body given Righting Couple be negative?

No, the Weight of Body given Righting Couple, measured in Force cannot be negative.

Which unit is used to measure Weight of Body given Righting Couple?

Weight of Body given Righting Couple is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Weight of Body given Righting Couple can be measured.

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Weight of Body given Righting Couple Formula

​GoWeight of Body given Restoring Couple Formula

Weight of Body given Righting Couple Example

Weight of Body given Righting Couple Solution

Weight of Body given Righting Couple Formula Elements

Other Formulas to find Weight of Body

Other formulas in Stability of Submerged and Floating Bodies category

How to Evaluate Weight of Body given Righting Couple?

FAQs on Weight of Body given Righting Couple

Variable Name

GoWeight of Body given Restoring Couple Formula