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Results for “Torque”

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Torque Classical Mechanics N·m The rotational equivalent of linear force, measuring the effectiveness of a force in causing angular acceleration about an axis. τ = r × F = r F sin θ Couple Classical Mechanics N·m A system of two equal, parallel forces acting in opposite directions whose lines of action do not coincide, producing pure torque without net linear force. τ = F d Dynamic Equilibrium Classical Mechanics N, N·m The state of a physical system moving at constant linear velocity and constant angular velocity with zero net force and zero net torque. ∑ F = 0 (v = const ≠ 0), ∑ τ = 0 (ω = const) Magnetic Dipole Moment Electromagnetism & Electronics A·m² (or J/T) A vector quantity determining the torque experienced by a magnetic dipole when placed in an external magnetic field. μ = I A, U = -μ · B Moving Coil Galvanometer, Ammeter & Voltmeter Electromagnetism & Electronics A (Current), V (Voltage) An electromechanical instrument that measures small currents using magnetic torque on a pivoted coil, converted to an ammeter or voltmeter using shunts or series resistors. τ = N I A B = k θ; Ammeter: S = I_g G / (I - I_g); Voltmeter: R_s = (V / I_g) - G Static Equilibrium Classical Mechanics N, N·m The state of a rigid body where both net external force and net external torque are zero, keeping the body completely at rest. ∑ F = 0, ∑ τ = 0 Angular Acceleration Classical Mechanics rad/s² The rate of change of angular velocity with respect to time. α = dω/dt = τ / I Angular Momentum Classical Mechanics kg·m²/s (J·s) The rotational analog of linear momentum, defined as the product of moment of inertia and angular velocity. L = I ω = r × p Electric Dipole Electromagnetism & Electronics C·m (Coulomb-meters) A system of two equal and opposite electric charges (+q and -q) separated by a small distance d. p = q d, V = (1 / (4π ε₀)) (p cos θ / r²) Nutation Geophysics & Environmental Physics Arcseconds (17.2″ in longitude, 9.2″ in obliquity) Small periodic nodding oscillations superimposed upon Earth's long-term rotational axis precession. Principal Nutation Period T = 18.6 years, Amplitude = 9.2″ Precession of the Equinoxes Geophysics & Environmental Physics Years per Cycle (~25,800 years) The slow continuous conical rotation of Earth's rotational axis in space, taking ~25,800 years to complete one full cycle. Precession Period T ≈ 25,772 years (Axial Wobble Rate ~ 50.3″/year) Vector Product Foundations of Physics Various A vector operation multiplying two 3D vectors to yield a vector perpendicular to both, with magnitude equal to the area of the parallelogram they span. A × B = |A||B| sin θ n_hat