Results for “Torque”
12 terms
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