The radian per second (symbol: rad⋅s−1 or rad/s) is the SI unit of angular velocity, commonly denoted by the Greek letter ω (omega). The radian per second is also the SI unit of angular frequency. The radian per second is defined as the change in the orientation of an object, in radians, every second.

Dimensional formula (equation) (Definition) : An equation, which gives the relation between fundamental units and derived units in terms of dimensions is called dimensional formula (equation). In mechanics the length, mass and time are taken as three base dimensions and are represented by letters L, M, T respectively.

radians per second

In uniform circular motion, angular velocity (?) is a vector quantity and is equal to the angular displacement (Δ?, a vector quantity) divided by the change in time (Δ?). Speed is equal to the arc length traveled (S) divided by the change in time (Δ?), which is also equal to |?|R.

The velocity vector is a displacement vector (a polar vector) divided by time (a scalar), so is also a polar vector. Angular momentum is the cross product of a displacement (a polar vector) and momentum (a polar vector), and is therefore a pseudovector.

The Spin Quantum Number (ms) describes the angular momentum of an electron. An electron spins around an axis and has both angular momentum and orbital angular momentum. After all the orbitals are half filled, the electrons start to pair up. This second electron in the orbital will have a spin of -1/2.

letter s

Angular momentum, property characterizing the rotary inertia of an object or system of objects in motion about an axis that may or may not pass through the object or system. Appropriate MKS or SI units for angular momentum are kilogram metres squared per second (kg-m2/sec).