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38 results for “mass”

Formulae (38)

Newton's Second Law

F = ma

Force equals mass times acceleration.

PhysicsAdvanced

Mass–Energy Equivalence

E = mc^2

Energy equivalent of mass.

PhysicsIntermediate

Newton's Gravitation

F = G\frac{m_1 m_2}{r^2}

Attractive force between two masses.

PhysicsBasic

Density

\rho = \frac{m}{V}

Mass per unit volume.

PhysicsBasic

Weight

W = mg

The gravitational force on a mass.

PhysicsBasic

Weight

W = mg

Gravitational force on a mass near Earth.

PhysicsAdvanced

Gravitational Potential Energy (General)

U = -\frac{GMm}{r}

Potential energy of two masses at distance r.

PhysicsIntermediate

Spring Oscillation Period

T = 2\pi\sqrt{\frac{m}{k}}

Period of a mass on a spring.

Physics Laws & TheoremsBasic

Newton's Second Law

F = ma = \frac{dp}{dt}

Net force equals mass times acceleration (rate of change of momentum).

Physics Laws & TheoremsIntermediate

Law of Universal Gravitation

F = G\frac{m_1 m_2}{r^2}

Every mass attracts every other mass.

Physics Laws & TheoremsIntermediate

Mass–Energy Equivalence

E = mc^2

Mass and energy are equivalent and interconvertible.

Modern & Quantum PhysicsIntermediate

Mass-Energy Equivalence

E = mc^2

Energy contained in mass.

ChemistryBasic

Moles from Mass

n = \frac{m}{M}

Number of moles from mass and molar mass.

ChemistryBasic

Density

\rho = \frac{m}{V}

Mass per unit volume of a substance.

ChemistryBasic

Percent Composition

\% = \frac{\text{mass of element}}{\text{molar mass}} \times 100

Mass percentage of an element in a compound.

ChemistryBasic

Mass Percent

\% = \frac{m_{solute}}{m_{solution}}\times 100

Concentration as a percentage by mass.

Biology & Life SciencesAdvanced

Kleiber's Law

q_0 = 70\,M^{0.75}

Metabolic rate scales with body mass to the ¾ power.

Health & FitnessBasic

Body Mass Index (BMI)

BMI = \frac{m}{h^2}

Weight-to-height ratio used to classify body weight.

Health & FitnessIntermediate

Lean Body Mass (Boer, Men)

LBM = 0.407m + 0.267h - 19.2

Body mass excluding fat for men.

Health & FitnessAdvanced

Fat-Free Mass Index

FFMI = \frac{LBM}{h^2}

Muscularity index normalised for height.

Health & FitnessIntermediate

BMR (Katch-McArdle)

BMR = 370 + 21.6\,LBM

Resting calories from lean body mass.

Health & FitnessBasic

Fat Mass

FM = m \times \frac{BF\%}{100}

Total mass of body fat.

Nutrition & FoodIntermediate

Brine Salinity

S = \frac{m_{salt}}{m_{salt}+m_{water}} \times 100

Salt concentration of a brine or curing solution by mass.

Astronomy & SpaceIntermediate

Newton's Law of Gravitation

F = G\frac{m_1 m_2}{r^2}

The attractive force between any two masses.

Astronomy & SpaceAdvanced

Gravitational Potential Energy

U = -\frac{GMm}{r}

Energy of a mass in another body's gravitational field.

Astronomy & SpaceAdvanced

Mass–Luminosity Relation

\frac{L}{L_\odot} \approx \left(\frac{M}{M_\odot}\right)^{3.5}

How a main-sequence star's brightness scales with its mass.

Astronomy & SpaceAdvanced

Chandrasekhar Limit

M_{Ch} \approx 1.44\,M_\odot

The maximum mass of a stable white dwarf.

EngineeringIntermediate

Continuity Equation

A_1 v_1 = A_2 v_2

Conservation of mass in incompressible flow.

Materials & CivilBasic

Density

\rho = \frac{m}{V}

Mass per unit volume of a material.

Aviation & AeronauticsBasic

Fuel Uplift

V_{up} = \dfrac{F_{req} - F_{OB}}{\rho}

Fuel to be loaded: the required ramp/block fuel minus fuel already on board, converted from mass to volume using fuel density.

Everyday MathBasic

Body Mass Index

BMI = \frac{m}{h^2}

Weight-to-height ratio used as a health screening tool.

Everyday MathIntermediate

Weight Loss Estimate

\Delta w = \frac{\text{deficit} \times days}{7700}

Approximate body-mass loss from a calorie deficit (kg).

Unit ConversionsBasic

Kilograms to Pounds

\text{lb} = \text{kg} \times 2.20462

Convert kilograms to pounds.

Unit ConversionsBasic

Pounds to Kilograms

\text{kg} = \text{lb} \times 0.453592

Convert pounds to kilograms.

Unit ConversionsBasic

Grams to Ounces

\text{oz} = \text{g} \times 0.035274

Convert grams to ounces.

Unit ConversionsBasic

Metric Tonnes to Pounds

\text{lb} = \text{t} \times 2204.62

Convert metric tonnes to pounds.

Unit ConversionsBasic

Kilograms to Pounds

lb = kg \times 2.2046

Convert kilograms to pounds.

Unit ConversionsBasic

Pounds to Kilograms

kg = lb \times 0.4536

Convert pounds to kilograms.