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Weight of Body is the force acting on the object due to gravity. Check FAQs
Wbody=RRestoring Couplex(D(180π))
Wbody - Weight of Body?RRestoring Couple - Restoring Couple?x - Distance from submerged to Floating Body?D - Angle Between Bodies?π - Archimedes' constant?

Weight of Body given Restoring Couple Example

With values
With units
Only example

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

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

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

18Edit=12960Edit8Edit(90Edit(1803.1416))
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Weight of Body given Restoring Couple Solution

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

FIRST Step Consider the formula
Wbody=RRestoring Couplex(D(180π))
Next Step Substitute values of Variables
Wbody=12960N*m8m(90°(180π))
Next Step Substitute values of Constants
Wbody=12960N*m8m(90°(1803.1416))
Next Step Convert Units
Wbody=12960N*m8m(1.5708rad(1803.1416))
Next Step Prepare to Evaluate
Wbody=129608(1.5708(1803.1416))
Next Step Evaluate
Wbody=18.0000000000034N
LAST Step Rounding Answer
Wbody=18N

Weight of Body given Restoring Couple Formula Elements

Variables
Constants
Weight of Body
Weight of Body is the force acting on the object due to gravity.
Symbol: Wbody
Measurement: ForceUnit: N
Note: Value should be greater than 0.
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: RRestoring Couple
Measurement: TorqueUnit: N*m
Note: Value can be positive or negative.
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.
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.
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 Righting Couple
Wbody=RRighting Couplex(D(180π))

Other formulas in Stability of Submerged and Floating Bodies category

​Go Restoring Couple when Floating Body in Stable Equilibrium
RRestoring Couple=(Wbodyx(D(180π)))
​Go Righting Couple when Floating Body in Unstable Equilibrium
RRighting Couple=(Wbodyx(D(180π)))

How to Evaluate Weight of Body given Restoring Couple?

Weight of Body given Restoring Couple evaluator uses Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))) to evaluate 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 Wbody symbol.

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

FAQs on Weight of Body given Restoring Couple

What is the formula to find Weight of Body given Restoring Couple?
The formula of Weight of Body given Restoring Couple is expressed as Weight of Body = Restoring Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi))). Here is an example- 20 = 12960/(8*(1.5707963267946*(180/pi))).
How to calculate Weight of Body given Restoring Couple?
With Restoring Couple (RRestoring Couple), Distance from submerged to Floating Body (x) & Angle Between Bodies (D) we can find Weight of Body given Restoring Couple using the formula - Weight of Body = Restoring 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=Righting Couple/(Distance from submerged to Floating Body*(Angle Between Bodies*(180/pi)))OpenImg
Can the Weight of Body given Restoring Couple be negative?
No, the Weight of Body given Restoring Couple, measured in Force cannot be negative.
Which unit is used to measure Weight of Body given Restoring Couple?
Weight of Body given Restoring 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 Restoring Couple can be measured.
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