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Meta-centric height in experimental method Formula

GoMeta-centric height for time period of oscillation and radius of gyration Formula

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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. Check FAQs

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

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

Meta-centric height in experimental method Example

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Here is how the Meta-centric height in experimental method equation looks like with Values.

Here is how the Meta-centric height in experimental method equation looks like with Units.

Here is how the Meta-centric height in experimental method equation looks like.

0.7002 = (\frac{343 \cdot 5.8}{19620 \cdot \tan (8.24)})

0.7002m = (\frac{343N \cdot 5.8m}{19620N \cdot \tan (8.24°)})

0.7002 = (\frac{343 \cdot 5.8}{19620 \cdot \tan (8.24)})

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Meta-centric height in experimental method Solution

Follow our step by step solution on how to calculate Meta-centric height in experimental method?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

GM = (\frac{343N \cdot 5.8m}{19620N \cdot \tan (8.24°)})

Next Step Convert Units

∴

GM = (\frac{343N \cdot 5.8m}{19620N \cdot \tan (0.1438rad)})

Next Step Prepare to Evaluate

∴

GM = (\frac{343 \cdot 5.8}{19620 \cdot \tan (0.1438)})

Next Step Evaluate

∴

GM = 0.700180249687571m

LAST Step Rounding Answer

∴

GM = 0.7002m

Meta-centric height in experimental method Formula Elements

Variables

Functions

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

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

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

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

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 to find Metacentric Height of Floating Body

Go Meta-centric height for time period of oscillation and radius of gyration

GM = \frac{4 \cdot (π^{2}) \cdot ({k G}^{2})}{(T^{2}) \cdot [g]}

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 Meta-centric height in experimental method?

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

How to evaluate Meta-centric height in experimental method using this online evaluator? To use this online evaluator for Meta-centric height in experimental method, enter Movable Weight on Floating Vessel (w₁), Distance Travelled by Weight on Vessel (D), Weight of Floating Vessel (W_fv) & Angle of Heel (θ) and hit the calculate button.

FAQs on Meta-centric height in experimental method

What is the formula to find Meta-centric height in experimental method?

The formula of Meta-centric height in experimental method is expressed as Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel))). Here is an example- 0.70018 = ((343*5.8)/(19620*tan(0.143815130364306))).

How to calculate Meta-centric height in experimental method?

With Movable Weight on Floating Vessel (w₁), Distance Travelled by Weight on Vessel (D), Weight of Floating Vessel (W_fv) & Angle of Heel (θ) we can find Meta-centric height in experimental method using the formula - Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Metacentric Height of Floating Body?

Here are the different ways to Calculate Metacentric Height of Floating Body-

Metacentric Height of Floating Body=(4*(pi^2)*(Radius of Gyration of Floating Body^2))/((Time Period of Oscillation of Floating Body^2)*[g])

Can the Meta-centric height in experimental method be negative?

Yes, the Meta-centric height in experimental method, measured in Length can be negative.

Which unit is used to measure Meta-centric height in experimental method?

Meta-centric height in experimental method is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Meta-centric height in experimental method can be measured.

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Meta-centric height in experimental method Formula

​GoMeta-centric height for time period of oscillation and radius of gyration Formula

Meta-centric height in experimental method Example

Meta-centric height in experimental method Solution

Meta-centric height in experimental method Formula Elements

Other Formulas to find Metacentric Height of Floating Body

Other formulas in Buoyancy category

How to Evaluate Meta-centric height in experimental method?

FAQs on Meta-centric height in experimental method

Variable Name

GoMeta-centric height for time period of oscillation and radius of gyration Formula