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Angle of heel for metacentric height in experimental method Formula

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

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

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

Angle of heel for metacentric height in experimental method Example

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Here is how the Angle of heel for metacentric height in experimental method equation looks like with Values.

Here is how the Angle of heel for metacentric height in experimental method equation looks like with Units.

Here is how the Angle of heel for metacentric height in experimental method equation looks like.

8.2421 = a \tan (\frac{343 \cdot 5.8}{19620 \cdot 0.7})

8.2421° = a \tan (\frac{343N \cdot 5.8m}{19620N \cdot 0.7m})

8.2421 = a \tan (\frac{343 \cdot 5.8}{19620 \cdot 0.7})

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Angle of heel for metacentric height in experimental method Solution

Follow our step by step solution on how to calculate Angle of heel for metacentric height in experimental method?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

θ = a \tan (\frac{343N \cdot 5.8m}{19620N \cdot 0.7m})

Next Step Prepare to Evaluate

∴

θ = a \tan (\frac{343 \cdot 5.8}{19620 \cdot 0.7})

Next Step Evaluate

∴

θ = 0.14385165398971rad

Next Step Convert to Output's Unit

∴

θ = 8.24209264958821°

LAST Step Rounding Answer

∴

θ = 8.2421°

Angle of heel for metacentric height in experimental method Formula Elements

Variables

Functions

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

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

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

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

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 Angle of heel for metacentric height in experimental method?

Angle of heel for metacentric height in experimental method evaluator uses Angle of Heel = atan((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*Metacentric Height of Floating Body)) to evaluate the Angle of Heel, The Angle of heel for metacentric height in experimental method formula is defined as the tilted angle of the body in a fluid or liquid, known in considering the movable weight (w1) and distance moved by w1 to the metacentric height, weight of the vessel including w1. Angle of Heel is denoted by θ symbol.

How to evaluate Angle of heel for metacentric height in experimental method using this online evaluator? To use this online evaluator for Angle of heel for metacentric height in experimental method, enter Movable Weight on Floating Vessel (w₁), Distance Travelled by Weight on Vessel (D), Weight of Floating Vessel (W_fv) & Metacentric Height of Floating Body (GM) and hit the calculate button.

FAQs on Angle of heel for metacentric height in experimental method

What is the formula to find Angle of heel for metacentric height in experimental method?

The formula of Angle of heel for metacentric height in experimental method is expressed as Angle of Heel = atan((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*Metacentric Height of Floating Body)). Here is an example- 472.2371 = atan((343*5.8)/(19620*0.7)).

How to calculate Angle of heel for metacentric height in experimental method?

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

Can the Angle of heel for metacentric height in experimental method be negative?

No, the Angle of heel for metacentric height in experimental method, measured in Angle cannot be negative.

Which unit is used to measure Angle of heel for metacentric height in experimental method?

Angle of heel for metacentric height in experimental method is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of heel for metacentric height in experimental method can be measured.

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Angle of heel for metacentric height in experimental method Formula

Angle of heel for metacentric height in experimental method Example

Angle of heel for metacentric height in experimental method Solution

Angle of heel for metacentric height in experimental method Formula Elements

Other formulas in Buoyancy category

How to Evaluate Angle of heel for metacentric height in experimental method?

FAQs on Angle of heel for metacentric height in experimental method

Variable Name