Physics Tools
Browse all available physics tools.
Available tools
- Acceleration Tangent Normal Orthogonality Tool Check a supplied tangent/normal acceleration decomposition using an explicit absolute dot-product tolerance.
- Acoustic Energy Density Pressure Term Tool Return mean potential and total acoustic energy densities for a progressive linear plane wave using RMS pressure.
- Acoustic Intensity Impedance Factor Tool Compute mean active intensity from RMS pressure and supplied complex specific acoustic impedance.
- Acoustic Particle Displacement Velocity Factor Convert explicit sinusoidal particle-displacement amplitude to velocity amplitude using angular frequency.
- Angular Momentum Axis Share Tool Project a supplied three-component angular momentum onto a declared axis; a zero momentum has no directional share.
- Angular Momentum Reference Point Shift Tool Shift angular momentum to an origin displaced by the supplied vector using L_new=L_old-displacement cross momentum.
- Angular Velocity Handedness Reference Tool Retain an explicitly named axis and rotation handedness when assigning a scalar angular-velocity sign.
- Average Speed Calculator Calculate average speed from total distance and elapsed time.
- Buoyancy Apparent Mass Density Factor Tool Calculate buoyancy apparent mass density factor from explicit caller-supplied inputs.
- Capillary Pressure Curvature Sum Tool Apply Young-Laplace pressure with explicitly signed principal curvatures and a caller-chosen normal.
- Center Of Mass Two Point Coordinate Tool Compute one coordinate of a two-point center of mass from nonnegative masses with positive finite total mass.
- Centripetal Force Calculator Compute centripetal force as mass times squared speed divided by the circular path radius (F = m·v²/r).
- Constant Acceleration Midpoint Speed Tool Return signed midpoint/average velocity and displacement under one constant-acceleration interval.
- Density Calculator Compute density as mass divided by volume.
- Doppler Classical Source Only Factor Tool Calculate doppler classical source only factor from explicit caller-supplied inputs.
- Elastic Collision Center Frame Speed Point Tool Resolve a one-dimensional two-body state into its common center-of-mass velocity and signed relative velocities.
- Elastic Energy Strain One Mode Tool Return one linear elastic uniaxial mode energy, excluding plasticity and multiaxial coupling.
- Elastic Potential Preload Energy Difference Calculate the signed change in ideal linear spring potential from explicit extensions about the same unstretched reference.
- Energy Balance Signed Transfer Sum explicitly signed energy transfers into an opening energy on a caller-established system boundary.
- Force Calculator Compute force as mass times acceleration (F = m·a).
- Force Torque Lever Arm Sign Tool Compute signed planar torque r cross F, positive counterclockwise for a right-handed x-y frame.
- Friction Work Sign Factor Tool Evaluate supplied force work F*s*cos(angle); a force or displacement of zero still has an explicitly supplied angular sign factor.
- Gravitational Potential Datum Energy Term Tool Calculate gravitational potential datum energy term from explicit caller-supplied inputs.
- Gravitational Redshift Weak Field Term Tool Return only the weak-field received-minus-emitted frequency fraction -deltaPhi/c²; validity requires a small potential ratio.
- Harmonic Oscillator Phase Space Energy Tool Calculate harmonic oscillator phase space energy from explicit caller-supplied inputs.
- Heat Flow Sign Hot Cold Label Label an explicit hot-to-cold direction under a supplied heat-flow sign convention without calculating a transfer rate.
- Ideal Gas Isothermal Work Ratio Tool Calculate ideal gas isothermal work ratio from explicit caller-supplied inputs.
- Idealgas Compressibility Residual One State Tool Return PV/(nRT) and its deviation from the ideal-gas value using caller-supplied consistent units and gas constant.
- Impulse Calculator Compute impulse as constant force multiplied by the elapsed time interval (J = F·Δt).
- Impulse Momentum Axis Tool Apply one signed axial impulse to the initial momentum in consistent momentum units.
- Inertia Parallel Axis Contribution Tool Apply the parallel-axis theorem to two parallel rotation axes separated by an explicit distance.
- Kinetic Energy Compute translational kinetic energy as one half mass times speed squared.
- Lever Equilibrium Single Force Residual Tool Sum explicitly signed planar lever moments; arm signs establish the torque convention.
- Linear Drag Terminal Force Residual Tool Compare a supplied velocity against the terminal balance of a constant force and linear signed drag.
- Mass Weight Reference Gravity Crosswalk Calculate weight magnitude from explicit mass and supplied local gravitational acceleration without assuming standard gravity.
- Momentum Calculator Compute linear momentum as mass times velocity (p = m·v).
- Momentum Energy Classical Consistency Residual Tool Compare supplied translational kinetic energy with the classical momentum relation p²/(2m).
- Momentum Two Frame Single Axis Shift Apply an explicit one-axis Galilean velocity shift and calculate classical momentum without relativistic transformation.
- Oscillation Phase Origin Gap Tool Report the unwrapped phase offset induced by shifting the supplied time origin; no frequency is inferred.
- Pendulum Small Angle Error Term Tool Return only the leading amplitude-squared correction to the small-angle simple-pendulum period.
- Physics: Collision Restitution Relative Speed Tool Apply the normal coefficient-of-restitution relation to a nonnegative approach speed under an explicitly passive 0..1 restitution model; not a collision impulse solver.
- Physics: Kinetic Energy Reference Frame Delta Tool Compare nonrelativistic one-axis kinetic energies across a Galilean frame shift, including the signed energy change; no relativistic speeds or energy conservation claim.
- Physics: Wave Phase Fraction Label Tool Decompose a signed wave phase in cycles into floor-based complete cycles and a nonnegative within-cycle phase, not a wave propagation model.
- Potential Energy Calculator Compute gravitational potential energy as mass times height times gravitational acceleration.
- Power From Work Calculator Compute average power as work done divided by elapsed time (P = W/t).
- Pressure Calculator Compute pressure as force applied perpendicular to a surface divided by its area (P = F/A).
- Pressure Force Projected Area Tool Return signed force from a uniform pressure difference acting on a nonnegative projected area.
- Projectile Apex Energy Fraction Tool Ideal no-drag projectile kinetic-energy fraction at the vertical apex, relative to launch, for nonzero launch speed.
- Projectile Motion Calculator Compute vacuum projectile flight time, maximum height and range from launch speed, launch angle and gravitational acceleration.
- Projectile Trajectory Apex Time Offset Tool Calculate projectile trajectory apex time offset from explicit caller-supplied inputs.
- Radiation Pressure Absorption Reflection Factor Tool Use normal incidence in vacuum with forward transmission and explicitly supplied absorption/reflection fractions.
- Relative Velocity Axis Tool Return the Galilean object velocity along one axis relative to a translating frame on that axis.
- Relativistic Four Momentum Norm Residual Tool Signed +--- four-momentum norm residual in consistent caller-supplied units.
- Relativistic Rapidity Velocity Addend Tool Calculate relativistic rapidity velocity addend from explicit caller-supplied inputs.
- Rigidbody Center Mass Impulse Speed Step Tool Calculate rigidbody center mass impulse speed step from explicit caller-supplied inputs.
- Rotational Inertia Single Mass Contribution Tool Return the point-mass inertia contribution about a supplied nonzero axis through the origin.
- Rotational Work Angle Torque Product Multiply explicit constant axial torque by compatible signed angular displacement in radians.
- Small Displacement Work Projection Tool Compute planar work for a constant force over a supplied displacement by the dot product, using consistent units.
- Spring Energy Preload Cross Term Tool Energy change from a preloaded ideal linear spring, retaining the signed preload cross term.
- Spring Force Reference Offset Calculate ideal one-axis Hooke restoring force from an explicit positive-direction coordinate and unstretched reference.
- Spring Series Energy Share Tool Share stored energy between two ideal series springs carrying the same force.
- Spring Series One Compliance Addend Tool Calculate spring series one compliance addend from explicit caller-supplied inputs.
- Static Friction Bound Margin Compare an explicit required friction magnitude with a supplied Coulomb static-friction bound without selecting a material coefficient.
- Thermal Capacity Weight Share Tool Calculate thermal capacity weight share from explicit caller-supplied inputs.
- Thermal Expansion Constrained Gap Tool Apply one linear free-expansion displacement to an explicit gap; negative output is interference, not structural approval.
- Thermal Expansion Volume First Order Term Tool Apply the isotropic first-order volumetric coefficient approximation 3*linearCoefficient.
- Torque Axis Normalized Projection Tool Calculate torque axis normalized projection from explicit caller-supplied inputs.
- Viscous Damping Log Decrement Pair Tool Calculate viscous damping log decrement pair from explicit caller-supplied inputs.
- Wave Boundary Phase Inversion Flag Tool Classify the phase sign of a real amplitude reflection coefficient, retaining an explicit zero-reflection flag.
- Wave Phase At Supplied Origin Evaluate an explicit traveling-wave phase under the supplied k*x-omega*t+phase convention without wrapping.
- Wave Phase Time Origin Sign Tool Phase offset after substituting old time = new time + supplied origin shift.
- Wave Relative Phase Time Shift Tool Shift the phase of a cos(omega*t+phase) wave when the supplied time coordinate is advanced.
- Wavelength Phase Distance Ratio Tool Calculate wavelength phase distance ratio from explicit caller-supplied inputs.
- Weight Force Calculator Compute weight force W = m·g using standard gravity, 9.80665 m/s².
- Work Calculator Compute mechanical work as force times displacement times the cosine of the angle between them (W = F·d·cos θ).
- Work Energy Signed Ledger Step Tool Apply the work-energy theorem for one step, rejecting a negative resulting kinetic energy.