Mini Tools Collection
Useful one-page tools for real work
ToolPatch is a growing collection of focused utilities. Each page handles one task with clear inputs, fast results, and practical outputs.
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Physics
Featured
Blackbody Radiation Calculator
Calculate Wien peak wavelength and Stefan-Boltzmann radiation power.
Estimate blackbody spectral peak and total emitted power from temperature and emitting area.
Physics
Featured
Damped Oscillator Calculator
Solve damped spring-mass response and classify damping regime.
Model m*x'' + c*x' + k*x = 0 with initial conditions to compute displacement, damping ratio, and settling behavior.
Physics
Featured
Density Calculator
Calculate density from mass and volume.
Compute density using the fundamental formula ρ = m/V. Useful for physics, chemistry, and material science applications.
Physics
Featured
Flywheel Energy Calculator
Calculate kinetic energy stored in a rotating flywheel.
Determine the kinetic energy stored in a flywheel based on its moment of inertia and angular velocity, or derived from its shape, mass, radius, and RPM.
Physics
Featured
Force & Area to Pressure Calculator
Calculate pressure from force and area.
Compute pressure using P = F/A. Useful for mechanical engineering, hydraulics, and physics applications.
Physics
Featured
Frequency Period Converter
Convert between frequency and period.
Bidirectional converter between frequency (Hz) and period (seconds) using f = 1/T. Useful for electronics, signal processing, and wave analysis.
Physics
Featured
Kinetic Energy Calculator
Compute kinetic energy and momentum from mass and velocity.
Calculate energy with KE = 1/2 m v² and momentum p = m v in one page. Useful for mechanics problems and practical motion estimates.
Physics
Featured
Newton Second Law Calculator
Solve force, mass, or acceleration using F = m * a.
Use Newton's second law to solve one unknown variable when the other two are known. Helpful for physics classes, engineering checks, and quick unit-based sanity tests.
Physics
Featured
Ohms Law Calculator
Solve voltage, current, or resistance and compute electrical power.
Apply Ohm's law (V = I * R) to electrical circuit basics and derive missing values. Includes quick power estimate using P = V * I.
Physics
Featured
Orbital Mechanics Calculator
Compute circular orbital speed, escape speed, and orbital period.
Estimate orbital dynamics around a central body from mass and altitude with physically grounded equations.
Physics
Featured
RC Circuit Transient Calculator
Analyze capacitor voltage/current over time for RC charge and discharge.
Compute RC time constant, transient voltage/current response, and milestone times (63%, 90%, 99%).
Physics
Doppler Shift Calculator
Calculate observed frequency shift from source/observer relative motion.
Evaluate Doppler frequency shift for wave systems using source and observer speeds with directional motion.
Physics
Lens Imaging Calculator
Solve thin-lens image distance, magnification, and orientation.
Use the thin lens equation to determine real/virtual image characteristics and image size scaling.
Physics
Projectile Motion Calculator
Estimate flight time, max height, and range from launch speed and angle.
Solve projectile motion assuming no air resistance and equal launch/landing heights. Great for introductory mechanics practice and trajectory intuition.
Physics
Wave Speed Calculator
Solve wave speed, frequency, or wavelength using v = f * lambda.
Choose which variable to solve and compute wave relationships for sound, light, or general wave problems. Includes period output from frequency.