Meta-centric height in experimental method Calculator

✖Movable Weight on Floating Vessel is a known weight placed over the center of the vessel floating on the liquid or fluid.ⓘ Movable Weight on Floating Vessel [w₁]			+10% -10%
✖Distance Travelled by Weight on Vessel defines how much path the movable weight has covered onto the floating vessel.ⓘ Distance Travelled by Weight on Vessel [D]			+10% -10%
✖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.ⓘ Weight of Floating Vessel [W_fv]			+10% -10%
✖The Angle of Heel is the tilted angle of the body in a fluid or liquid.ⓘ Angle of Heel [θ]			+10% -10%

✖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.ⓘ Meta-centric height in experimental method [GM]

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Meta-centric height in experimental method Solution

STEP 0: Pre-Calculation Summary

Formula Used

Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel)))
GM = ((w₁*D)/(W_fv*tan(θ)))
This formula uses 1 Functions, 5 Variables

Functions Used

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., tan(Angle)

Variables Used

Metacentric Height of Floating Body - (Measured in Meter) - 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.
Movable Weight on Floating Vessel - (Measured in Newton) - Movable Weight on Floating Vessel is a known weight placed over the center of the vessel floating on the liquid or fluid.
Distance Travelled by Weight on Vessel - (Measured in Meter) - Distance Travelled by Weight on Vessel defines how much path the movable weight has covered onto the floating vessel.
Weight of Floating Vessel - (Measured in Newton) - 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.
Angle of Heel - (Measured in Radian) - The Angle of Heel is the tilted angle of the body in a fluid or liquid.

STEP 1: Convert Input(s) to Base Unit

Movable Weight on Floating Vessel: 343 Newton --> 343 Newton No Conversion Required
Distance Travelled by Weight on Vessel: 5.8 Meter --> 5.8 Meter No Conversion Required
Weight of Floating Vessel: 19620 Newton --> 19620 Newton No Conversion Required
Angle of Heel: 8.24 Degree --> 0.143815130364306 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

GM = ((w₁*D)/(W_fv*tan(θ))) --> ((343*5.8)/(19620*tan(0.143815130364306)))

Evaluating ... ...

GM = 0.700180249687571

STEP 3: Convert Result to Output's Unit

0.700180249687571 Meter --> No Conversion Required

FINAL ANSWER

0.700180249687571 ≈ 0.70018 Meter <-- Metacentric Height of Floating Body

(Calculation completed in 00.004 seconds)

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< Buoyancy Calculators

Archimedes Principle

LaTeX Go Archimedes Principle = Density*Acceleration Due to Gravity*Velocity

Volume of fluid displaced

LaTeX Go Volume of Fluid Displaced by Body = (Weight of Displaced Fluid)/(Density of Displaced Fluid)

Centre of Buoyancy

LaTeX Go Centre of Buoyancy for Floating Body = (Depth of Immersed Object in Water)/2

Buoyant Force

LaTeX Go Buoyant Force = Pressure*Area

Meta-centric height in experimental method Formula

LaTeX Go

Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel)))
GM = ((w₁*D)/(W_fv*tan(θ)))

What is meta-centre?

It is defined as the point about which a body starts oscillating when the body is tilted by a small angle.

What is meta-centric height?

The distance between the meta-centre of a floating body and the center of gravity of the body is called meta-centric height. It is calculated using analytical and theoretical methods.

How to Calculate Meta-centric height in experimental method?

Meta-centric height in experimental method calculator 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 calculate 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 calculate Meta-centric height in experimental method using this online calculator? To use this online calculator 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. Here is how the Meta-centric height in experimental method calculation can be explained with given input values -> 0.70018 = ((343*5.8)/(19620*tan(0.143815130364306))).

FAQ

What is Meta-centric height in experimental method?

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 and is represented as GM = ((w₁*D)/(W_fv*tan(θ))) or Metacentric Height of Floating Body = ((Movable Weight on Floating Vessel*Distance Travelled by Weight on Vessel)/(Weight of Floating Vessel*tan(Angle of Heel))). Movable Weight on Floating Vessel is a known weight placed over the center of the vessel floating on the liquid or fluid, Distance Travelled by Weight on Vessel defines how much path the movable weight has covered onto the 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 & The Angle of Heel is the tilted angle of the body in a fluid or liquid.

How to calculate Meta-centric height in experimental method?

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 is calculated using 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 calculate Meta-centric height in experimental method, you need Movable Weight on Floating Vessel (w₁), Distance Travelled by Weight on Vessel (D), Weight of Floating Vessel (W_fv) & Angle of Heel (θ). With our tool, you need to enter the respective value for Movable Weight on Floating Vessel, Distance Travelled by Weight on Vessel, Weight of Floating Vessel & Angle of Heel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Metacentric Height of Floating Body?

In this formula, Metacentric Height of Floating Body uses Movable Weight on Floating Vessel, Distance Travelled by Weight on Vessel, Weight of Floating Vessel & Angle of Heel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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