Restoring Couple when Floating Body in Stable Equilibrium Calculator

✖Weight of Body is the force acting on the object due to gravity.ⓘ Weight of Body [W_body]			+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%

✖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 when Floating Body in Stable Equilibrium [R_{Restoring Couple}]

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Restoring Couple when Floating Body in Stable Equilibrium Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Weight of Body - (Measured in Newton) - Weight of Body is the force acting on the object due to gravity.
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

Weight of Body: 18 Newton --> 18 Newton 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

R_{Restoring Couple} = (W_body*x*(D*(180/pi))) --> (18*8*(1.5707963267946*(180/pi)))

Evaluating ... ...

R_{Restoring Couple} = 12959.9999999976

STEP 3: Convert Result to Output's Unit

12959.9999999976 Newton Meter --> No Conversion Required

FINAL ANSWER

12959.9999999976 ≈ 12960 Newton Meter <-- Restoring Couple

(Calculation completed in 00.007 seconds)

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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)))

Restoring Couple when Floating Body in Stable Equilibrium Formula

LaTeX Go

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

What is weight of body?

Weight of the body can be represented as the weight of the prism present in the fluid usually measured in kilograms

How to Calculate Restoring Couple when Floating Body in Stable Equilibrium?

Restoring Couple when Floating Body in Stable Equilibrium calculator uses Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))) to calculate the Restoring Couple, The Restoring Couple when Floating Body in Stable Equilibrium 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. Restoring Couple is denoted by R_{Restoring Couple} symbol.

How to calculate Restoring Couple when Floating Body in Stable Equilibrium using this online calculator? To use this online calculator for Restoring Couple when Floating Body in Stable Equilibrium, enter Weight of Body (W_body), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) and hit the calculate button. Here is how the Restoring Couple when Floating Body in Stable Equilibrium calculation can be explained with given input values -> 12960 = (18*8*(1.5707963267946*(180/pi))).

FAQ

What is Restoring Couple when Floating Body in Stable Equilibrium?

The Restoring Couple when Floating Body in Stable Equilibrium 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 and is represented as R_{Restoring Couple} = (W_body*x*(D*(180/pi))) or Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). Weight of Body is the force acting on the object due to gravity, 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 Restoring Couple when Floating Body in Stable Equilibrium?

The Restoring Couple when Floating Body in Stable Equilibrium 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 is calculated using Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). To calculate Restoring Couple when Floating Body in Stable Equilibrium, you need Weight of Body (W_body), Distance from submerged to Floating Body (x) & Angle Between Bodies (D). With our tool, you need to enter the respective value for Weight of Body, 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.

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