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Volume of Metal Melted Formula

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Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining. Check FAQs

V = \frac{Q \cdot (1 - R)}{s \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

V - Volume of Metal Melted?Q - Heat Energy?R - Material Reflectivity?s - Specific Gravity of Material?c - Specific Heat Capacity?T_m - Melting Temperature of Base Metal?θ_ambient - Ambient Temperature?L_fusion - Latent Heat of Fusion?

Volume of Metal Melted Example

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Here is how the Volume of Metal Melted equation looks like with Values.

Here is how the Volume of Metal Melted equation looks like with Units.

Here is how the Volume of Metal Melted equation looks like.

0.04 = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot (0.421 \cdot (1499.999 - 55.02) + 4599.997) \cdot 4.2}

0.04m³ = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot (0.421J/kg*°C \cdot (1499.999°C - 55.02°C) + 4599.997J/kg) \cdot 4.2}

0.04 = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot (0.421 \cdot (1499.999 - 55.02) + 4599.997) \cdot 4.2}

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Volume of Metal Melted Solution

Follow our step by step solution on how to calculate Volume of Metal Melted?

FIRST Step Consider the formula

V = \frac{Q \cdot (1 - R)}{s \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

Next Step Substitute values of Variables

∴

V = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot (0.421J/kg*°C \cdot (1499.999°C - 55.02°C) + 4599.997J/kg) \cdot 4.2}

Next Step Convert Units

∴

V = \frac{4200J \cdot (1 - 0.5)}{2.4 \cdot (0.421J/(kg*K) \cdot (1773.149K - 328.17K) + 4599.997J/kg) \cdot 4.2}

Next Step Prepare to Evaluate

∴

V = \frac{4200 \cdot (1 - 0.5)}{2.4 \cdot (0.421 \cdot (1773.149 - 328.17) + 4599.997) \cdot 4.2}

Next Step Evaluate

∴

V = 0.04000000133888m³

LAST Step Rounding Answer

∴

V = 0.04m³

Volume of Metal Melted Formula Elements

Variables

Volume of Metal Melted

Volume of Metal Melted is defined as the volume of the material removed during the process of Laser Beam Machining.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Metal Melted

Heat Energy

Heat Energy is the form of energy that is transferred between systems with different temperatures. It flows from the hotter system to the cooler one until thermal equilibrium is reached.

Symbol: Q

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Heat Energy

Material Reflectivity

Material Reflectivity is the ratio of amount of radiation that is reflected to the total radiation incident.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Material Reflectivity

Specific Gravity of Material

Specific Gravity of Material is a dimensionless unit defined as the ratio of the density of the material to the density of water at a specified temperature.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Material

Specific Heat Capacity

Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.

Symbol: c

Measurement: Specific Heat CapacityUnit: J/kg*°C

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity

Melting Temperature of Base Metal

Melting Temperature of Base Metal is the temperature at which its phase changes from liquid to solid.

Symbol: T_m

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Melting Temperature of Base Metal

Ambient Temperature

Ambient temperature refers to the air temperature of any object or environment where equipment is stored. In a more general sense, it is the temperature of the surrounding environment.

Symbol: θ_ambient

Measurement: TemperatureUnit: °C

Note: Value can be positive or negative.

Formulas to find Ambient Temperature

Latent Heat of Fusion

The Latent Heat of Fusion is the amount of heat required to convert one unit amount of substance from the solid phase to the liquid phase — leaving the temperature of the system unaltered.

Symbol: L_fusion

Measurement: Latent HeatUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Latent Heat of Fusion

Other formulas in Energy Requirements in LBM category

Go Energy Required to Melt Metal in LBM

Q = \frac{ρ m \cdot V \cdot (c \cdot (T m - θ ambient) + L fusion)}{1 - R}

Go Specific Gravity of given Metal

s = \frac{Q \cdot (1 - R)}{V \cdot (c \cdot (T m - θ ambient) + L fusion) \cdot 4.2}

How to Evaluate Volume of Metal Melted?

Volume of Metal Melted evaluator uses Volume of Metal Melted = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion)*4.2) to evaluate the Volume of Metal Melted, The Volume of Metal Melted formula is defined as volume of material removed during process of LBM. Volume of Metal Melted is denoted by V symbol.

How to evaluate Volume of Metal Melted using this online evaluator? To use this online evaluator for Volume of Metal Melted, enter Heat Energy (Q), Material Reflectivity (R), Specific Gravity of Material (s), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m), Ambient Temperature (θ_ambient) & Latent Heat of Fusion (L_fusion) and hit the calculate button.

FAQs on Volume of Metal Melted

What is the formula to find Volume of Metal Melted?

The formula of Volume of Metal Melted is expressed as Volume of Metal Melted = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion)*4.2). Here is an example- 0.04 = (4200*(1-0.5))/(2.4*(0.421*(1773.149-328.17)+4599.997)*4.2).

How to calculate Volume of Metal Melted?

With Heat Energy (Q), Material Reflectivity (R), Specific Gravity of Material (s), Specific Heat Capacity (c), Melting Temperature of Base Metal (T_m), Ambient Temperature (θ_ambient) & Latent Heat of Fusion (L_fusion) we can find Volume of Metal Melted using the formula - Volume of Metal Melted = (Heat Energy*(1-Material Reflectivity))/(Specific Gravity of Material*(Specific Heat Capacity*(Melting Temperature of Base Metal-Ambient Temperature)+Latent Heat of Fusion)*4.2).

Can the Volume of Metal Melted be negative?

No, the Volume of Metal Melted, measured in Volume cannot be negative.

Which unit is used to measure Volume of Metal Melted?

Volume of Metal Melted is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Metal Melted can be measured.

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Volume of Metal Melted Formula

Volume of Metal Melted Example

Volume of Metal Melted Solution

Volume of Metal Melted Formula Elements

Other formulas in Energy Requirements in LBM category

How to Evaluate Volume of Metal Melted?

FAQs on Volume of Metal Melted

Variable Name