PhysicsLabFree physics, explained clearly

Home › Calculators

Fifty calculators, one for every formula

50 free calculators, type in numbers and get the answer with the working shown. Every calculation runs in your browser; nothing is sent anywhere.

Classical Mechanics

Forces, energy, momentum and motion.

CalculatorFormula
Banked Curve Calculatortan θ = v² ÷ (r × g)
Buoyancy CalculatorF_b = ρ × V × g
Centripetal Force CalculatorF_c = m × v² ÷ r
Circular Motion Calculatora = v² ÷ r
Escape Velocity Calculatorv = √(2 × G × M ÷ r)
Gravitational Field Calculatorg = G × M ÷ r²
Gravitational Potential Energy CalculatorPE = m × g × h
Hooke's Law CalculatorF = k × x
Impulse and Momentum CalculatorJ = F × Δt = Δp
Kinetic Energy CalculatorKE = ½ × m × v²
Momentum Calculatorp = m × v
Net Force CalculatorF_net = F₁ + F₂
Newton's Second Law CalculatorF = m × a
Pendulum Period CalculatorT = 2π × √(L ÷ g)
Torque Calculatorτ = r × F × sin θ
Vector Addition CalculatorR = √(A_x² + A_y²)
Work and Power CalculatorW = F × d × cos θ
Young's Modulus CalculatorE = F × L ÷ (A × ΔL)

Kinematics

Describing motion: velocity, acceleration and trajectories.

CalculatorFormula
Free Fall Calculatorv = √(2 × g × h)
Projectile Motion CalculatorR = v₀² sin(2θ) ÷ g
Relative Velocity Calculatorv_rel = v₁ − v₂
SUVAT Motion Calculatorv = u + a × t
Terminal Velocity Calculatorv_t = √(2 × m × g ÷ (ρ × A × C_d))

Electromagnetism

Charge, current, fields, circuits and magnetism.

CalculatorFormula
Capacitor Energy CalculatorU = ½ × C × V²
Coulomb's Law CalculatorF = k × q₁ × q₂ ÷ r²
Electric Current CalculatorI = Q ÷ t
Electric Field CalculatorE = k × Q ÷ r²
Electrical Power CalculatorP = V × I
Faraday's Law Calculatorε = N × ΔΦ ÷ Δt
Magnetic Force CalculatorF = q × v × B × sin θ
Ohm's Law CalculatorV = I × R
Resistor Combination CalculatorR_series = R₁ + R₂

Thermodynamics

Heat, temperature, energy and entropy.

CalculatorFormula
First Law of Thermodynamics CalculatorΔU = Q − W
Gas Laws CalculatorP₁V₁ ÷ T₁ = P₂V₂ ÷ T₂
Ideal Gas Law CalculatorP × V = n × R × T
Specific Heat CalculatorQ = m × c × ΔT
Thermal Expansion CalculatorΔL = α × L₀ × ΔT

Waves & Optics

Waves, sound, light, lenses and interference.

CalculatorFormula
Doppler Effect Calculatorf′ = f × v ÷ (v − v_s)
Lens and Mirror Calculator1 ÷ f = 1 ÷ d_obj + 1 ÷ d_img
Refractive Index Calculatorn = c ÷ v
Snell's Law Calculatorn₁ sin θ₁ = n₂ sin θ₂
Speed of Light / Frequency-Wavelength Calculatorc = λ × f
Wave Interference Calculatory = m × λ × L ÷ d
Wave Speed Calculatorv = f × λ

Modern Physics

Quantum mechanics, relativity, atoms and beyond.

CalculatorFormula
Black Body Radiation CalculatorP = σ × A × T⁴
Bohr Energy Level CalculatorE_n = −13.6 ÷ n² eV
Half-Life CalculatorN = N₀ × (½)^(t ÷ T½)
Nuclear Binding Energy CalculatorE = Δm × c²
Photoelectric Effect CalculatorKE_max = h × f − φ
de Broglie Wavelength Calculatorλ = h ÷ p