Ratio to Decibel Calculator Ratio to Decibel Calculator Convert a ratio to decibels using: $$ \text{dB} = \begin{cases} 10\log_{10}(\text{ratio}) & \text{(Power Ratio)} \\ 20\log_{10}(\text{ratio}) & \text{(Voltage Ratio)} \end{cases} $$ Step 1: Enter Parameters Ratio (unitless): e.g., 2 (unitless) Conversion Type: Power Ratio (10 log₁₀(ratio))Voltage Ratio (20 log₁₀(ratio)) Calculate dB Calculated Decibels Result (dB): Recalculate For […]
Doppler Effect Calculator Calculate the observed frequency using the Doppler Effect for a moving source: For Approaching: \( f_{\text{obs}} = f \frac{v}{v – v_s} \), For Receding: \( f_{\text{obs}} = f \frac{v}{v + v_s} \) * Ensure speeds are in m/s and frequency in Hz. Step 1: Enter Parameters Source Frequency, \(f\) (Hz): e.g., […]
Thermal Stress Calculator Thermal Stress Calculator Calculate the thermal stress on a rod fixed at both ends using: $$ \sigma = E\, \alpha\, \Delta T $$ * Ensure all units are consistent: E in Pa, α in 1/K, and ΔT in K. Step 1: Enter Input Parameters Young’s Modulus, \(E\) (Pa): e.g., 210×10⁹ Pa (for […]
Rod Joint Displacement Calculator Rod Joint Displacement Calculator Calculate the lateral displacement (δ) of a rod fixed at both ends due to a temperature change. * Formula: δ ≈ (2L₀/π)√(αΔT) Step 1: Enter Parameters Original Length, \(L_0\) (m): e.g., 1 m Coefficient of Linear Expansion, \(\alpha\) (1/K): e.g., 1.2×10⁻⁵ 1/K Temperature Change, \(\Delta T\) (K): […]
Rotating Rod Elongation Calculator Rotating Rod Elongation Calculator Calculate the elongation \(\Delta L\) of a rod under rotation using: $$ \Delta L = \frac{\rho\, \omega^2\, L^3}{3E} $$ * Ensure that all units are consistent: ρ in kg/m³, ω in rad/s, L in m, and E in Pa. Step 1: Enter Parameters Density, \(\rho\) (kg/m³): e.g., […]
Coulomb’s Law Calculator Coulomb’s Law Calculator Calculate the electrostatic force using: $$ F = k_e\, \frac{\left|q_1\, q_2\right|}{r^2} $$ * Ensure that the distance \(r\) is greater than 0 and all values are in consistent SI units. Step 1: Enter Parameters Charge \(q_1\) (C): e.g., 1×10⁻⁶ C Charge \(q_2\) (C): e.g., 2×10⁻⁶ C Distance, \(r\) (m): […]
Diffraction Grating Calculator Diffraction Grating Calculator Calculate the diffraction angle using: $$ \theta = \sin^{-1}\!\Bigl(\frac{m\, \lambda}{d}\Bigr) $$ * Use consistent units for wavelength (λ) and grating spacing (d). For example, both in nanometers. Step 1: Enter Parameters Diffraction Order, \(m\): e.g., 1 (first order) Wavelength, \(\lambda\) (nm): e.g., 500 nm Grating Spacing, \(d\) (nm): e.g., […]
Prandtl Number Calculator Prandtl Number Calculator Calculate the Prandtl number using: $$ Pr = \frac{\mu\, c_p}{k} $$ * Ensure all units are consistent: μ in Pa·s, cp in J/(kg·K), and k in W/(m·K). Step 1: Enter Parameters Dynamic Viscosity, \(\mu\) (Pa·s): e.g., 0.001 Pa·s (water at room temperature) Specific Heat Capacity, \(c_p\) (J/(kg·K)): e.g., 4180 […]
Pascal’s Law Calculator Pascal’s Law Calculator Calculate the output force using: $$ F_{2} = F_{1}\,\frac{A_{2}}{A_{1}} $$ * Ensure that the piston areas are in the same units and force in Newtons. Step 1: Enter Input Values Input Force, \(F_{1}\) (N): e.g., 100 N Input Piston Area, \(A_{1}\) (m²): e.g., 0.001 m² Output Piston Area, \(A_{2}\) […]
Bragg’s Law Calculator Bragg’s Law Calculator Calculate the diffraction angle using: $$ n\lambda = 2d\sin\theta $$ * Use consistent units for λ and d. Ensure nλ/(2d) ≤ 1. Step 1: Enter Parameters Order, \(n\): e.g., 1 Wavelength, \(\lambda\) (units): e.g., 500 (enter the same units as d, e.g., nm) Interplanar Spacing, \(d\) (units): e.g., 200 […]