Convert radians per second [rad/s] to meters per second [m/s] and vice-versa
Online converter
Convert any value from / to radians per second [rad/s] to meters per second [m/s], angular velocity to linear velocity. Fill one of the following fields, values will be converted and updated automatically.
Formulas
Explanation
Assume an object (or point) attached to a rotating wheel. The angular velocity of the wheel is defined by \( \omega \) expressed in \( rad.s^{-1} \). This also means that the wheel rotates from \( \omega \) radians during one second. During that same second, the attached object (or point) travels a distance of \(r \times \omega \). It implies that the speed of the object is also equal to \(r \times \omega \). The conversion can be done thanks to the following formula:
$$ v=r\omega $$
and vice-versa:
$$ \omega=\frac{v}{r} $$
If the previous demonstration did not convince you. You can extend the formula that convert angle to distance :
$$ \alpha = \dfrac{L}{r} $$
by replacing
- the length \(L\) by the linear velocity \(v\)
- the angle \(\alpha\) by the angular velocity \( \omega \)
See also
- Convert binary, decimal and hexadecimal
- Convert cubic meters of topsoil to tonnes
- Convert from binary to decimal and vice-versa
- Convert newton-metre [N.m] to kilogramme-centimeter [Kg.cm] and vice-versa
- Convert newton-metre [N.m] to millinewton-metre [mN.m] and vice-versa
- Convert meters per second [m/s] to kilometers per hour [km/h] and vice-versa
- Convert miles per hour [mph] to kilometers per hour [km/h] and vice-versa
- Convert newton-meter [N.m] to newton [N] and vice-versa
- Convert kilometers per hour [km/h] to radians per second [rad/s] and vice-versa
- Convert radians per second [rad/s] to miles per hour [mph] and vice-versa
- Convert revolutions per minute [rpm] to radians per second [rad/s] and vice-versa
- Convert revolutions per second [rps] to radians per second [rad/s] and vice-versa
- Convert radians [rad] to degrees [°] and vice-versa
- Convert revolution per minute [rpm] to miles per hour [mph] and vice-versa
- Convert revolutions per minute [rpm] to kilometers per hour [km/h] with gear ratio and vice-versa
- Convert revolutions per minute [rpm] to kilometers per hour [km/h] and vice-versa
- Convert revolutions per minute [rpm] to meters per second [m/s] and vice-versa
- Convert revolutions per second [rps] to meters per second [m/s] and vice-versa
