Weight of Body given Restoring Couple Calculator

✖Restoring couple, the suspension wire is twisted which give rise to torsional couple,which tends to untwist the suspension wire and restore the original position.ⓘ Restoring Couple [R_{Restoring Couple}]			+10% -10%
✖Distance from submerged to Floating Body at any point along the perpendicular axis.ⓘ Distance from submerged to Floating Body [x]			+10% -10%
✖Angle Between Bodies is the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle Between Bodies [D]			+10% -10%

✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body given Restoring Couple [W_body]

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Weight of Body given Restoring Couple Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi)))
W_body = R_{Restoring Couple}/(x*(D*(180/pi)))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
Restoring Couple - (Measured in Newton Meter) - Restoring couple, the suspension wire is twisted which give rise to torsional couple,which tends to untwist the suspension wire and restore the original position.
Distance from submerged to Floating Body - (Measured in Meter) - Distance from submerged to Floating Body at any point along the perpendicular axis.
Angle Between Bodies - (Measured in Radian) - Angle Between Bodies is the space between two intersecting lines or surfaces at or close to the point where they meet.

STEP 1: Convert Input(s) to Base Unit

Restoring Couple: 12960 Newton Meter --> 12960 Newton Meter No Conversion Required
Distance from submerged to Floating Body: 8 Meter --> 8 Meter No Conversion Required
Angle Between Bodies: 90 Degree --> 1.5707963267946 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_body = R_{Restoring Couple}/(x*(D*(180/pi))) --> 12960/(8*(1.5707963267946*(180/pi)))

Evaluating ... ...

W_body = 18.0000000000034

STEP 3: Convert Result to Output's Unit

18.0000000000034 Newton --> No Conversion Required

FINAL ANSWER

18.0000000000034 ≈ 18 Newton <-- Weight of Body

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Buoyancy And Floatation » Stability of Submerged and Floating Bodies » Weight of Body given Restoring Couple

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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< Stability of Submerged and Floating Bodies Calculators

Restoring Couple when Floating Body in Stable Equilibrium

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

Weight of Body given Restoring Couple

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

Righting Couple when Floating Body in Unstable Equilibrium

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

Weight of Body given Righting Couple

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

Weight of Body given Restoring Couple Formula

LaTeX Go

Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi)))
W_body = R_{Restoring Couple}/(x*(D*(180/pi)))

What is meant by restoring couple?

Restoring couple is the coil turns under the action of deflecting torque,the suspension wire is twisted which give rise to torsional couple,which tends to untwist the suspension wire and restore the original position. This couple is known as restoring couple.

How to Calculate Weight of Body given Restoring Couple?

Weight of Body given Restoring Couple calculator uses Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))) to calculate the Weight of Body, The Weight of Body given Restoring Couple is given 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 calculate Weight of Body given Restoring Couple using this online calculator? To use this online calculator for Weight of Body given Restoring Couple, enter Restoring Couple (R_{Restoring Couple}), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) and hit the calculate button. Here is how the Weight of Body given Restoring Couple calculation can be explained with given input values -> 20 = 12960/(8*(1.5707963267946*(180/pi))).

FAQ

What is Weight of Body given Restoring Couple?

The Weight of Body given Restoring Couple is given can be represented as the weight of the prism present in the fluid usually measured in kilograms and is represented as W_body = R_{Restoring Couple}/(x*(D*(180/pi))) or Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). Restoring couple, the suspension wire is twisted which give rise to torsional couple,which tends to untwist the suspension wire and restore the original position, Distance from submerged to Floating Body at any point along the perpendicular axis & Angle Between Bodies is the space between two intersecting lines or surfaces at or close to the point where they meet.

How to calculate Weight of Body given Restoring Couple?

The Weight of Body given Restoring Couple is given can be represented as the weight of the prism present in the fluid usually measured in kilograms is calculated using Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). To calculate Weight of Body given Restoring Couple, you need Restoring Couple (R_{Restoring Couple}), Distance from submerged to Floating Body (x) & Angle Between Bodies (D). With our tool, you need to enter the respective value for Restoring Couple, Distance from submerged to Floating Body & Angle Between Bodies and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Weight of Body?

In this formula, Weight of Body uses Restoring Couple, Distance from submerged to Floating Body & Angle Between Bodies. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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