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Restoring Couple when Floating Body in Stable Equilibrium Formula

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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. Check FAQs

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

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

Restoring Couple when Floating Body in Stable Equilibrium Example

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Here is how the Restoring Couple when Floating Body in Stable Equilibrium equation looks like with Values.

Here is how the Restoring Couple when Floating Body in Stable Equilibrium equation looks like with Units.

Here is how the Restoring Couple when Floating Body in Stable Equilibrium equation looks like.

12960 = (18 \cdot 8 \cdot (90 \cdot (\frac{180}{3.1416})))

12960N*m = (18N \cdot 8m \cdot (90° \cdot (\frac{180}{3.1416})))

12960 = (18 \cdot 8 \cdot (90 \cdot (\frac{180}{3.1416})))

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Restoring Couple when Floating Body in Stable Equilibrium Solution

Follow our step by step solution on how to calculate Restoring Couple when Floating Body in Stable Equilibrium?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R Restoring Couple = (18N \cdot 8m \cdot (90° \cdot (\frac{180}{π})))

Next Step Substitute values of Constants

∴

R Restoring Couple = (18N \cdot 8m \cdot (90° \cdot (\frac{180}{3.1416})))

Next Step Convert Units

∴

R Restoring Couple = (18N \cdot 8m \cdot (1.5708rad \cdot (\frac{180}{3.1416})))

Next Step Prepare to Evaluate

∴

R Restoring Couple = (18 \cdot 8 \cdot (1.5708 \cdot (\frac{180}{3.1416})))

Next Step Evaluate

∴

R Restoring Couple = 12959.9999999976N*m

LAST Step Rounding Answer

∴

R Restoring Couple = 12960N*m

Restoring Couple when Floating Body in Stable Equilibrium Formula Elements

Variables

Constants

Restoring Couple

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.

Symbol: R_{Restoring Couple}

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Restoring Couple

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

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 in Stability of Submerged and Floating Bodies category

Go Righting Couple when Floating Body in Unstable Equilibrium

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

Go Weight of Body given Restoring Couple

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

Go Weight of Body given Righting Couple

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

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

Restoring Couple when Floating Body in Stable Equilibrium evaluator uses Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))) to evaluate 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 evaluate Restoring Couple when Floating Body in Stable Equilibrium using this online evaluator? To use this online evaluator 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.

FAQs on Restoring Couple when Floating Body in Stable Equilibrium

What is the formula to find Restoring Couple when Floating Body in Stable Equilibrium?

The formula of Restoring Couple when Floating Body in Stable Equilibrium is expressed as Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). Here is an example- 12960 = (18*8*(1.5707963267946*(180/pi))).

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

With Weight of Body (W_body), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) we can find Restoring Couple when Floating Body in Stable Equilibrium using the formula - Restoring Couple = (Weight of Body*Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). This formula also uses Archimedes' constant .

Can the Restoring Couple when Floating Body in Stable Equilibrium be negative?

Yes, the Restoring Couple when Floating Body in Stable Equilibrium, measured in Torque can be negative.

Which unit is used to measure Restoring Couple when Floating Body in Stable Equilibrium?

Restoring Couple when Floating Body in Stable Equilibrium is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Restoring Couple when Floating Body in Stable Equilibrium can be measured.

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Restoring Couple when Floating Body in Stable Equilibrium Formula

Restoring Couple when Floating Body in Stable Equilibrium Example

Restoring Couple when Floating Body in Stable Equilibrium Solution

Restoring Couple when Floating Body in Stable Equilibrium Formula Elements

Other formulas in Stability of Submerged and Floating Bodies category

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

FAQs on Restoring Couple when Floating Body in Stable Equilibrium

Variable Name