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Movable weight for metacentric height in experimental method Formula

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Movable Weight on Floating Vessel is a known weight placed over the center of the vessel floating on the liquid or fluid. Check FAQs

w 1 = \frac{GM \cdot W fv \cdot \tan (θ)}{D}

w₁ - Movable Weight on Floating Vessel?GM - Metacentric Height of Floating Body?W_fv - Weight of Floating Vessel?θ - Angle of Heel?D - Distance Travelled by Weight on Vessel?

Movable weight for metacentric height in experimental method Example

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Here is how the Movable weight for metacentric height in experimental method equation looks like with Values.

Here is how the Movable weight for metacentric height in experimental method equation looks like with Units.

Here is how the Movable weight for metacentric height in experimental method equation looks like.

342.9117 = \frac{0.7 \cdot 19620 \cdot \tan (8.24)}{5.8}

342.9117N = \frac{0.7m \cdot 19620N \cdot \tan (8.24°)}{5.8m}

342.9117 = \frac{0.7 \cdot 19620 \cdot \tan (8.24)}{5.8}

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Movable weight for metacentric height in experimental method Solution

Follow our step by step solution on how to calculate Movable weight for metacentric height in experimental method?

FIRST Step Consider the formula

w 1 = \frac{GM \cdot W fv \cdot \tan (θ)}{D}

Next Step Substitute values of Variables

∴

w 1 = \frac{0.7m \cdot 19620N \cdot \tan (8.24°)}{5.8m}

Next Step Convert Units

∴

w 1 = \frac{0.7m \cdot 19620N \cdot \tan (0.1438rad)}{5.8m}

Next Step Prepare to Evaluate

∴

w 1 = \frac{0.7 \cdot 19620 \cdot \tan (0.1438)}{5.8}

Next Step Evaluate

∴

w 1 = 342.9117003902N

LAST Step Rounding Answer

∴

w 1 = 342.9117N

Movable weight for metacentric height in experimental method Formula Elements

Variables

Functions

Movable Weight on Floating Vessel

Movable Weight on Floating Vessel is a known weight placed over the center of the vessel floating on the liquid or fluid.

Symbol: w₁

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Movable Weight on Floating Vessel

Metacentric Height of Floating Body

The Metacentric Height of Floating Body is defined as the vertical distance between the center of gravity of a body and the metacenter of that body.

Symbol: GM

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Metacentric Height of Floating Body

Weight of Floating Vessel

The Weight of Floating Vessel is defined as the weight of the vessel floating onto the fluid including the weight placed over the center of the vessel floating on the liquid or fluid.

Symbol: W_fv

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Floating Vessel

Angle of Heel

The Angle of Heel is the tilted angle of the body in a fluid or liquid.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Heel

Distance Travelled by Weight on Vessel

Distance Travelled by Weight on Vessel defines how much path the movable weight has covered onto the floating vessel.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance Travelled by Weight on Vessel

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Buoyancy category

Go Archimedes Principle

A bouy = ρ \cdot g \cdot v

Go Buoyant Force

F buoy = p \cdot A

Go Volume of fluid displaced

V = \frac{W}{ρ df}

Go Centre of Buoyancy

B c = \frac{d}{2}

How to Evaluate Movable weight for metacentric height in experimental method?

Movable weight for metacentric height in experimental method evaluator uses Movable Weight on Floating Vessel = (Metacentric Height of Floating Body*Weight of Floating Vessel*tan(Angle of Heel))/(Distance Travelled by Weight on Vessel) to evaluate the Movable Weight on Floating Vessel, The Movable weight for metacentric height in experimental method is defined as the ratio of metacentric height, weight of the vessel including w1, and angle of heel to the distance moved by w1. Movable Weight on Floating Vessel is denoted by w₁ symbol.

How to evaluate Movable weight for metacentric height in experimental method using this online evaluator? To use this online evaluator for Movable weight for metacentric height in experimental method, enter Metacentric Height of Floating Body (GM), Weight of Floating Vessel (W_fv), Angle of Heel (θ) & Distance Travelled by Weight on Vessel (D) and hit the calculate button.

FAQs on Movable weight for metacentric height in experimental method

What is the formula to find Movable weight for metacentric height in experimental method?

The formula of Movable weight for metacentric height in experimental method is expressed as Movable Weight on Floating Vessel = (Metacentric Height of Floating Body*Weight of Floating Vessel*tan(Angle of Heel))/(Distance Travelled by Weight on Vessel). Here is an example- 342.9117 = (0.7*19620*tan(0.143815130364306))/(5.8).

How to calculate Movable weight for metacentric height in experimental method?

With Metacentric Height of Floating Body (GM), Weight of Floating Vessel (W_fv), Angle of Heel (θ) & Distance Travelled by Weight on Vessel (D) we can find Movable weight for metacentric height in experimental method using the formula - Movable Weight on Floating Vessel = (Metacentric Height of Floating Body*Weight of Floating Vessel*tan(Angle of Heel))/(Distance Travelled by Weight on Vessel). This formula also uses Tangent (tan) function(s).

Can the Movable weight for metacentric height in experimental method be negative?

Yes, the Movable weight for metacentric height in experimental method, measured in Force can be negative.

Which unit is used to measure Movable weight for metacentric height in experimental method?

Movable weight for metacentric height in experimental method is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Movable weight for metacentric height in experimental method can be measured.

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Movable weight for metacentric height in experimental method Formula

Movable weight for metacentric height in experimental method Example

Movable weight for metacentric height in experimental method Solution

Movable weight for metacentric height in experimental method Formula Elements

Other formulas in Buoyancy category

How to Evaluate Movable weight for metacentric height in experimental method?

FAQs on Movable weight for metacentric height in experimental method

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