Pendulum Time Period Change Calculator Pendulum Time Period Change Calculator Calculate the new time period of a simple pendulum due to thermal expansion. * Ensure consistent units: L₀ in meters, g in m/s², ΔT in Kelvin (or °C), and α in 1/K. Step 1: Enter Parameters Initial Length, \(L_0\) (m): e.g., 1 m Coefficient of […]
Mach Number Calculator Mach Number Calculator Calculate the Mach number using the formula: $$ M = \frac{v}{a} $$ * Enter speeds in m/s. Step 1: Enter Parameters Object Speed, \(v\) (m/s): e.g., 340 m/s (approximately the speed of sound at sea level) Speed of Sound, \(a\) (m/s): e.g., 340 m/s Calculate Mach Number Calculated Mach […]
Speed of Sound Calculator Speed of Sound Calculator Calculate the speed of sound using the Newton–Laplace equation: $$ c = \sqrt{\frac{K}{\rho}} $$ Step 1: Enter Parameters Bulk Modulus, \(K\) (Pa): e.g., 2.2×10⁹ Pa (typical for many solids) Density, \(\rho\) (kg/m³): e.g., 2700 kg/m³ (for aluminum) Calculate Speed of Sound Calculated Speed of Sound Speed, \(c\) […]
Brinell Hardness Number Calculator Brinell Hardness Number Calculator Calculate BHN using the formula: $$ BHN = \frac{2P}{\pi D \Bigl(D – \sqrt{D^2 – d^2}\Bigr)} $$ * Ensure \(D^2 \ge d^2\) and use consistent units (P in kgf, D and d in mm). Step 1: Enter Parameters Applied Load, \(P\) (kgf): e.g., 300 kgf Ball Diameter, \(D\) […]
Bulk Modulus Calculator Bulk Modulus Calculator Calculate the bulk modulus using: $$ K = \frac{\Delta P \, V_0}{\Delta V} $$ * Ensure all inputs are in consistent units. Step 1: Enter Parameters Change in Pressure, \(\Delta P\) (Pa): e.g., 100,000 Pa Initial Volume, \(V_0\) (m³): e.g., 0.01 m³ Change in Volume, \(\Delta V\) (m³): e.g., […]
Nusselt Number Calculator Nusselt Number Calculator Calculate the Nusselt number using the Dittus–Boelter correlation: $$ Nu = 0.023\,Re^{0.8}\,Pr^{0.4} $$ Step 1: Enter Parameters Reynolds Number, \(Re\) (dimensionless): e.g., 5000 Prandtl Number, \(Pr\) (dimensionless): e.g., 0.7 Calculate Nusselt Number Calculated Nusselt Number Nusselt Number, \(Nu\): Recalculate Formula: $$ Nu = 0.023\,Re^{0.8}\,Pr^{0.4} $$
Shear Modulus Calculator Shear Modulus Calculator Calculate the shear modulus \(G\) using the formula: $$ G = \frac{\tau}{\gamma} $$ Step 1: Enter Parameters Shear Stress, \(\tau\) (Pa): e.g., 5000 Pa Shear Strain, \(\gamma\) (unitless): e.g., 0.005 (dimensionless) Calculate Shear Modulus Calculated Shear Modulus Shear Modulus, \(G\) (Pa): Recalculate Formula: $$ G = \frac{\tau}{\gamma} $$
Beer-Lambert Law Calculator Beer-Lambert Law Calculator Calculate the absorbance \(A\) using the formula: $$ A = \varepsilon \, c \, l $$ * Ensure that the units are consistent (e.g., \(\varepsilon\) in L/(mol·cm), \(c\) in mol/L, and \(l\) in cm). Step 1: Enter Input Parameters Molar Absorptivity, \(\varepsilon\) (L/(mol·cm)): e.g., 100 L/(mol·cm) Concentration, \(c\) (mol/L): […]
Prism Minimum Angle of Deviation Calculator Prism Minimum Angle of Deviation Calculator Calculate the minimum deviation angle using: $$ \delta_{\text{min}} = 2\sin^{-1}\Bigl(n\,\sin\Bigl(\frac{A}{2}\Bigr)\Bigr) – A $$ * Enter the apex angle \(A\) in degrees and the refractive index \(n\). Step 1: Enter Prism Parameters Apex Angle, \(A\) (°): e.g., 60° Refractive Index, \(n\): e.g., 1.5 Calculate […]
Rectangular Weir Flow Rate Calculator Rectangular Weir Flow Rate Calculator Calculate the flow rate over a rectangular weir using: $$ Q = \frac{2}{3}\, C_d\, L\, \sqrt{2g}\, H^{3/2} $$ Step 1: Enter Parameters Discharge Coefficient, \(C_d\): e.g., 0.62 (typical value for a rectangular weir) Weir Length, \(L\) (m): e.g., 1 m Head over the Weir, \(H\) […]