Jul 20, 2025 · As far as I know, if we have a wave function as a sum of many momentum eigen function, i.e., ψ = ∑ k α k e i (k x ω t), the group velocity is the velocity of the whole wave …

Dec 27, 2024 · I thought velocity was always a vector quantity, one with both magnitude and direction. When it came to the suvat equations, where v = final velocity, and u = initial velocity, …

Sep 9, 2008 · The discussion clarifies the relationship between torque, power, and angular velocity, emphasizing that power is equal to torque multiplied by angular velocity (P = τ × ω). It …

Aug 1, 2009 · The key takeaway is that instantaneous velocity can be zero at specific moments, while acceleration remains non-zero, highlighting a common misconception in understanding …

Mar 2, 2010 · The equation for linear velocity, represented as v = r (ω), establishes that velocity is directly proportional to the radius (r) and the angular velocity (ω) measured in radians per …

Jul 9, 2021 · The discussion clarifies the distinction between average speed and average velocity, emphasizing that average speed is defined as total distance divided by total time, while …

Oct 9, 2015 · The discussion clarifies that zero velocity is indeed a constant velocity, as defined mathematically. The participant references the equation x (t) = -5, indicating that the particle's …

Sep 3, 2012 · Negative average velocity is achievable in a multi-dimensional context, particularly when considering directional movement. For instance, if a vehicle travels north at 10 mph for …

Aug 8, 2018 · The discussion clarifies the distinction between angular velocity (ω v) and angular frequency (ω f). Angular velocity is defined as the instantaneous rate of change of angular …

May 29, 2017 · The discussion clarifies that wave velocity and phase velocity are numerically equivalent, defined by the equation v = ω/k, where ω is angular frequency and k is …