Nusselt Number Calculator

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: $$ Nu = 0.023\,Re^{0.8}\,Pr^{0.4} $$

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Shear Modulus Calculator

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: $$ G = \frac{\tau}{\gamma} $$

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Beer-Lambert Law Calculator

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): […]

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Prism Minimum Angle of Deviation Calculator

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 […]

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Rectangular Weir Flow Rate Calculator

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, \(H\) […]

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Volume Thermal Expansion Calculator

Volume Thermal Expansion Calculator Volume Thermal Expansion Calculator Calculate the change in volume using the formula: $$ \Delta V = \beta\, V_0\, \Delta T $$ Enter Parameters Initial Volume, \(V_0\) (m³): e.g., 1 m³ Coefficient of Volume Expansion, \(\beta\) (1/K): e.g., 3×10⁻⁵ 1/K (typical for metals) Temperature Change, \(\Delta T\) (K): e.g., 50 K (or […]

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Law of Cooling Calculator

Law of Cooling Calculator Law of Cooling Calculator Calculate the temperature at time \(t\) using Newton’s Law of Cooling. * Please enter all voltages/temperatures with their appropriate signs. Step 1: Enter Input Parameters Ambient Temperature, \(T_{env}\) (°C or K): e.g., 25°C Initial Temperature, \(T_0\) (°C or K): e.g., 100°C Cooling Constant, \(k\) (1/s): e.g., 0.01 […]

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Linear Thermal Expansion Calculator

Linear Thermal Expansion Calculator Linear Thermal Expansion Calculator Calculate the change in length \(\Delta L\) using the formula: $$ \Delta L = \alpha\, L_0\, \Delta T $$ Enter Input 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 (for many metals) Temperature Change, \(\Delta T\) (K): e.g., […]

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Rate of Heat Transfer Calculator

Rate of Heat Transfer Calculator Rate of Heat Transfer Calculator Calculate the rate of heat transfer using the formula: $$ \dot{Q} = \frac{k\, A\, \Delta T}{d} $$ Enter Input Parameters Thermal Conductivity, \( k \) (W/m·K): e.g., 200 W/m·K (typical for metals) Cross-sectional Area, \( A \) (m²): e.g., 0.01 m² Temperature Difference, \(\Delta T\) […]

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Specific Heat Calculator

Specific Heat Calculator Calculate specific heat using the formula: \( c = \frac{Q}{m\, \Delta T} \). Step 1: Enter Input Values Energy, \(Q\) (J): Enter energy in Joules (e.g., 1000 J) Mass, \(m\) (kg): Enter mass in kilograms (e.g., 2 kg) Temperature Change, \(\Delta T\) (K or °C): Enter the temperature change (e.g., 10 K) […]

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