The Angular Momentum Equation — a Turbomachinery Preview

Inside this lesson

State the angular-momentum (moment-of-momentum) equation for a control volume as the b = r × V case of RTT
Reduce it to the steady turbomachine form M = ṁ(r₂Vt₂ − r₁Vt₁) and compute shaft power Ẇ = ωM
Apply the equation to a simple rotating device (a lawn sprinkler) to find torque and power
Recognize that the full turbomachinery treatment — Euler pump/turbine equations, performance and system curves — is the subject of Module 11

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Educational content covering topics typical of a first- and second-year mechanical engineering curriculum. Not a substitute for accredited coursework, and not suitable for real fluid-system design without review by a licensed professional engineer.