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26 results for “ton”

Formulae (26)

Newton's Second Law

F = ma

Force equals mass times acceleration.

PhysicsIntermediate

Newton's Gravitation

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

Attractive force between two masses.

PhysicsIntermediate

Energy of a Photon

E = hf

Energy of a photon from its frequency.

Physics Laws & TheoremsBasic

Newton's First Law (Inertia)

\sum F = 0 \Rightarrow v = \text{const}

An object stays at rest or in uniform motion unless acted on by a net force.

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 & TheoremsBasic

Newton's Third Law

F_{AB} = -F_{BA}

For every action there is an equal and opposite reaction.

Physics Laws & TheoremsIntermediate

Law of Universal Gravitation

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

Every mass attracts every other mass.

Physics Laws & TheoremsAdvanced

Planck–Einstein Relation

E = hf

The energy of a photon is proportional to its frequency.

Physics Laws & TheoremsBasic

Newton First Law

\sum F = 0 \Rightarrow \text{constant } v

An object stays at rest or in uniform motion unless acted upon.

Physics Laws & TheoremsBasic

Newton Third Law

F_{AB} = -F_{BA}

Every action has an equal and opposite reaction.

Optics & WavesIntermediate

Photon Energy

E = hf

Energy of a single photon.

Optics & WavesIntermediate

Photon Energy (Wavelength)

E = \frac{hc}{\lambda}

Photon energy from its wavelength.

Modern & Quantum PhysicsAdvanced

Compton Shift

\Delta\lambda = \frac{h}{m_e c}(1 - \cos\theta)

Wavelength change of scattered photons.

Electronics & CircuitsAdvanced

Wheatstone Bridge Balance

\frac{R_1}{R_2} = \frac{R_3}{R_4}

Condition for a balanced measurement bridge.

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

Eddington Luminosity

L_{Edd} = \frac{4\pi G M m_p c}{\sigma_T}

The maximum steady luminosity before radiation blows a star apart.

Astronomy & SpaceAdvanced

Photon Sphere Radius

r_{ph} = \frac{3GM}{c^2}

Radius where gravity bends light into a circular orbit.

Unit ConversionsBasic

Metric Tonnes to Pounds

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

Convert metric tonnes to pounds.

Music & AcousticsIntermediate

Equal-Temperament Note Frequency

f_n = f_0 \times 2^{n/12}

Frequency of a note n semitones from a reference pitch.

Music & AcousticsIntermediate

Harmonic Series

f_n = n f_1

Overtones of a note are whole-number multiples of the fundamental.

Marine & NauticalIntermediate

Deadweight Tonnage

DWT = \Delta_{loaded} - \Delta_{light}

Cargo-carrying capacity: loaded minus empty displacement.

Signal Processing & DSPAdvanced

Aliased Frequency

f_a = |f - n f_s|

Frequency an under-sampled tone masquerades as.

HVAC & RefrigerationBasic

Refrigeration Tons

TR = \frac{Q}{12000}

Cooling capacity in tons, where one ton removes 12,000 BTU/h.

Scientific Laws & PrinciplesIntermediate

Law of Multiple Proportions

\frac{m_1}{m_2} = \frac{\text{small integers}}{\text{small integers}}

When two elements form more than one compound, the masses of one element combining with a fixed mass of the other are in ratios of small whole numbers.

Scientific Laws & PrinciplesIntermediate

Dalton's Law of Partial Pressures

P_{\text{total}} = P_1 + P_2 + \cdots + P_n

The total pressure of a mixture of non-reacting gases equals the sum of the partial pressures each gas would exert alone.

Scientific Laws & PrinciplesIntermediate

Newton's Law of Cooling

T(t) = T_s + (T_0 - T_s)\, e^{-kt}

The rate at which an object cools is proportional to the temperature difference between the object and its surroundings.