Math & Numbers
Solve proportion equations of the form a/b = c/d and calculate the missing term
proportion-calculatorMath & Numbers
Simplify ratios, calculate ratio shares, and convert between ratio, fraction, and decimal forms
ratio-calculatorMath & Numbers
Factor any integer into its prime factors with detailed analysis and mathematical properties.
prime-factorizationMath & Numbers
Solve quadratic equations ax² + bx + c = 0 and linear equations bx + c = 0 with detailed steps, discriminant analysis, vertex calculation, and axis of symmetry.
quadratic-equation-solverMath & Numbers
Check if a number is prime (a natural number greater than 1 that has no positive divisors other than 1 and itself)
prime-number-checkerMath & Numbers
Convert between different pressure units (pascal, bar, psi, atmosphere, etc.)
pressure-converterMath & Numbers
Generate Pascal's triangle with customizable number of rows
pascals-triangleMath & Numbers
Evaluate and analyze polynomials
polynomial-calculatorMath & Numbers
Perform arithmetic operations on fractions
rational-calculatorFinance
Calculate present value of future cash flows and investment analysis
present-valueMath & Numbers
Convert moment of force (torque) between newton-metre (N·m, SI base), dyne-centimetre (dyn·cm, CGS = 10⁻⁷ N·m), pound-foot (lbf·ft = 1.3558179483314004 N·m), and kilogram-force-metre (kgf·m = 9.80665 N·m). Each factor is the exact product of the matching force factor and length factor. Converts via N·m to the target unit and lists all four equivalents. Reference: wheel-nut tightening torque ≈ 100 N·m, passenger-car engine peak torque ≈ 250 N·m.
moment-of-force-converterMath & Numbers
Compute motor efficiency η = P_out / P_in. Supports electrical input (single-phase U·I·cosφ or three-phase √3·U·I·cosφ) or direct P_in; output power can be derived from a loss breakdown (copper+iron+rotor copper+mechanical+stray) or supplied directly.
motor-efficiency-calculator