Definition:Velocity/Unit

From ProofWiki
Jump to navigation Jump to search

Definition

The SI unit of velocity is the the metre per second: $\mathrm {m \, s^{-1} }$.

The CGS unit of velocity is the centimetre per second: $\mathrm {cm \, s^{-1} }$.

The FPS unit of velocity is the foot per second $\mathrm {ft \, s^{-1} }$.


Metre per Second

The SI unit of velocity is the metre per second.

\(\ds \) \(\) \(\ds 1\) \(\ds \mathrm {m \, s^{-1} }\) metre per second \(\quad\) SI unit
\(\ds \) \(=\) \(\ds 100\) \(\ds \mathrm {cm \, s^{-1} }\) centimetres per second \(\quad\) CGS unit
\(\ds \) \(\approx\) \(\ds 3 \cdotp 2808\) \(\ds \mathrm {ft \, s^{-1} }\) feet per second \(\quad\) FPS unit


Centimetre per Second

The CGS unit of velocity is the centimetre per second.

\(\ds \) \(\) \(\ds 1\) \(\ds \mathrm {cm \, s^{-1} }\) centimetre per second \(\quad\) CGS unit
\(\ds \) \(=\) \(\ds 10^{-2}\) \(\ds \mathrm {m \, s^{-1} }\) metre per second \(\quad\) SI unit
\(\ds \) \(\approx\) \(\ds 3 \cdotp 2808 \times 10^{-2}\) \(\ds \mathrm {ft \, s^{-1} }\) foot per second \(\quad\) FPS unit


Foot per Second

The FPS unit of velocity is the foot per second.

\(\ds \) \(\) \(\ds 1\) \(\ds \mathrm {ft \, s^{-1} }\) foot per second \(\quad\) FPS unit
\(\ds \) \(=\) \(\ds 30 \cdotp 48\) \(\ds \mathrm {cm \, s^{-1} }\) centimetres per second \(\quad\) CGS unit
\(\ds \) \(=\) \(\ds 0 \cdotp 3048\) \(\ds \mathrm {m \, s^{-1} }\) metre per second \(\quad\) SI unit


Sources