Kinetic Friction Calculator

Kinetic Friction Calculator Kinetic Friction Calculator Calculate the kinetic friction force using the equation: \[ F_k = \mu_k \times N \] where \(\mu_k\) is the coefficient of kinetic friction and \(N\) is the normal force. * Enter the coefficient (dimensionless) and the normal force (in newtons). Step 1: Enter Parameters Coefficient of Kinetic Friction, \( […]

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Static Friction Calculator

Static Friction Calculator Static Friction Calculator Calculate the maximum static friction force using the equation: \[ F_s = \mu_s \times N \] where \(\mu_s\) is the coefficient of static friction and \(N\) is the normal force. * Enter the coefficient (dimensionless) and the normal force (in newtons). Step 1: Enter Parameters Coefficient of Static Friction, […]

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Terminal Velocity Calculator (Stoke’s Law)

Terminal Velocity using Stoke’s Law Calculator Terminal Velocity Calculator (Stoke’s Law) Calculate the terminal velocity of a spherical particle in a viscous fluid using: \[ v_t = \frac{2\,r^2\,(\rho_p – \rho_f)\,g}{9\,\mu} \] where: – \(r\) is the particle radius (m), – \(\rho_p\) is the particle density (kg/m³), – \(\rho_f\) is the fluid density (kg/m³), – \(g\) […]

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Ambipolar Transport Coefficients Calculator

Ambipolar Transport Coefficients Calculator Calculate the ambipolar diffusion coefficient and mobility using the equations: \[ D_a = \frac{2\,D_n\,D_p}{D_n + D_p} \] and \[ \mu_a = \frac{2\,\mu_n\,\mu_p}{\mu_n + \mu_p} \] where \(D_n\) and \(D_p\) are the electron and hole diffusion coefficients, and \(\mu_n\) and \(\mu_p\) are the electron and hole mobilities. * Enter all values in […]

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Space Charge Width of a Linearly Graded PN-Junction Calculator

Linearly Graded PN-Junction Space Charge Width Calculator Linearly Graded PN-Junction Calculator Calculate the space charge (depletion) width of a linearly graded PN junction. Formula: \( W = \left( \frac{4 \varepsilon_s (V_{bi} – V)}{q \, a} \right)^{\frac{1}{3}} \) Built-in Potential, Vbi (Volts): Applied Bias, V (Volts): Semiconductor Permittivity, εs (F/m): Default for Silicon: 11.7ε₀ ≈ 1.035e-10 […]

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Exponential Growth and Decay Calculator

Welcome to our Exponential Growth and Decay Calculator, a powerful tool designed to help you compute exponential growth or decay for various applications, including finance, biology, physics, and more. This calculator simplifies complex exponential calculations, providing quick and accurate results. Exponential Growth and Decay Calculator Exponential Growth and Decay Calculator Initial Amount (P0): Growth/Decay Rate […]

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Integral Calculator

Integral Calculator Approximate the integral of a function using a simple numerical method. * Enter the function (in terms of x), lower and upper limits, and step size (dx). Step 1: Enter Parameters Function (in terms of x): e.g., x² + 3x or sin(x) Lower Limit (a): Upper Limit (b): dx (step size): Calculate Integral […]

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Error Function (erf) Calculator

Error Function (erf) Calculator Compute the error function: $$ \operatorname{erf}(x) \approx \operatorname{sgn}(x)\Bigl[1-\Bigl(a_1t + a_2t^2 + a_3t^3 + a_4t^4 + a_5t^5\Bigr)e^{-x^2}\Bigr], $$ where \( t=\frac{1}{1+0.3275911\,|x|} \). * Enter the value \( x \). Step 1: Enter \( x \) \( x \): e.g., 1 Calculate erf(x) Calculated Error Function \( \operatorname{erf}(x) \): Recalculate Approximation constants: \( […]

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Cauchy Distribution Calculators

Welcome to our Cauchy Distribution Calculators! These tools are designed to help you analyze probabilities and distributions associated with the Cauchy distribution. Whether you’re a student, researcher, or data analyst, our calculators simplify the process of performing statistical analyses related to the Cauchy distribution. Cauchy Distribution Calculator Cauchy Distribution Calculator For a Cauchy distribution with location […]

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Arcsine Distribution Calculators

Use the Arcsine Distribution Calculator to analyze data following an arcsine distribution. Understand the fundamentals of the arcsine distribution and perform accurate calculations with ease.” Arcsine Distribution Calculator The Arcsine distribution is a special case of the Beta distribution with parameters \( \frac{1}{2} \) and \( \frac{1}{2} \). Its PDF is given by: $$ f(x)=\frac{1}{\pi\sqrt{x(1-x)}},\quad […]

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