quantity

speed

The rate at which an object covers distance, a scalar quantity.
8 related articles · 6 formulas

Description

Speed is the rate at which an object covers distance, defined as the distance traveled divided by the time taken. It is a scalar quantity, meaning it has magnitude but no direction, unlike velocity which includes direction. In everyday life, speed is what a car's speedometer shows, and in physics it is fundamental to describing motion, from a falling apple to a speeding photon.

History

The concept of speed has been used since antiquity, but Galileo Galilei in the early 17th century formalized the relationship between distance, time, and speed, laying groundwork for classical mechanics.

How it works

Speed is calculated as the total distance traveled divided by the elapsed time, giving an average speed. Instantaneous speed is the limit of this ratio as the time interval approaches zero, which is the magnitude of the instantaneous velocity vector. In uniform motion, speed is constant; in accelerated motion, it changes over time.

In practice

Speed is used in navigation, traffic engineering, sports analytics, and in physics to calculate kinetic energy (½mv²) and to determine travel times in space missions.

Fun fact

The speed of light in a vacuum is exactly 299,792,458 meters per second, a fixed constant that defines the meter itself since 1983.

Concept graph →

Formulas

$$k = \frac{1}{3} C v l$$
Thermal conductivity depends on heat capacity, particle speed, and mean free path.
What is in the formula
kvariablethermal conductivity — thermal conductivity watt per metre per kelvin
Cvariableheat capacity per unit volume — volumetric heat capacity joule per cubic metre per kelvin
vvariableaverage particle speed — speed metre per second
lvariablemean free path — mean free path metre
$$\Omega = \frac{1}{2m^2c^2}$$
Berry curvature for a free electron in vacuum.
What is in the formula
\OmegavariableBerry curvature — berry curvature square metre
mvariableelectron mass — mass kilogram
cvariablespeed of light in vacuum — speed metre per second
$$r_H \propto \frac{\dot{M}}{\rho c_s}$$
Horizon radius scales with accretion rate over density and sound speed.
What is in the formula
r_HvariableAccretion horizon radius — radius metre
\dot{M}variableMass accretion rate — mass flow rate kilogram per second
\rhovariableMass density of accreting material — mass density kilogram per cubic metre
c_svariableSound speed in accreting material — speed metre per second
$$c_{\text{coord}} = c \sqrt{-g_{tt}/g_{rr}}$$
Speed of light in curved spacetime coordinates.
What is in the formula
c_coordvariableCoordinate speed of light — speed metre per second
cvariableSpeed of light in vacuum — speed of light metre per second
g_ttvariableTime-time component of metric tensor — metric tensor component
g_rrvariableRadial-radial component of metric tensor — metric tensor component
√operatorSquare root operation — square root operator
$$\Gamma_1 > \frac{4}{3} + k\frac{GM}{Rc^2}$$
Stellar stability requires adiabatic index above 4/3 plus GR correction.
What is in the formula
\Gamma_1variableFirst adiabatic index — adiabatic index
MvariableMass of the star — mass kilogram
RvariableRadius of the star — radius metre
cvariableSpeed of light — speed metre per second
GconstantNewtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
kconstantNumerical constant of order unity depending on stellar structure — structure constant = 1
$$L_{\rm Edd} = \frac{4\pi G M c}{\kappa}$$
Radius where radiation pressure balances gravity defines Eddington limit.
What is in the formula
L_{\rm Edd}variableEddington luminosity — luminosity watt
MvariableMass of the object — mass kilogram
cvariableSpeed of light — speed metre per second
GconstantNewtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\kappaconstantOpacity of the stellar material — opacity = 0.034 square metre per kilogram

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