Calculate the parameters of a projectile launched from an elevated position. Enter the initial velocity \( v_0 \), launch angle \( \theta \), initial elevation \( h \), and gravitational acceleration \( g \). * Ensure all values are in SI units: m/s for velocity, m for elevation, and m/s² for gravity. Step 1: Enter […]
Read MoreCalculate the parameters of a projectile launched on level ground. Enter the initial velocity \( v_0 \), launch angle \( \theta \), and gravitational acceleration \( g \). * Ensure the values are in SI units: m/s for velocity and m/s² for gravity. Step 1: Enter Parameters Initial Velocity, \( v_0 \) (m/s): Example: 20 […]
Read MoreProjectile on an Incline (Downward Launch) Calculator Projectile on an Incline Calculator(Downward Launch) Calculate the parameters of a projectile launched from an elevated point above an inclined plane with a downward initial direction. The projectile is launched with an initial velocity \( v_0 \) at an angle \( \theta \) relative to the horizontal, the […]
Read MoreProjectile on an Incline Calculator Projectile on an Incline Calculator Calculate the parameters of a projectile launched from the base of an inclined plane. The projectile is launched with an initial velocity \( v_0 \) at an angle \( \theta \) relative to the horizontal, while the plane is inclined at an angle \( \beta […]
Read MoreAcceleration Due to Gravity Calculator Acceleration Due to Gravity Calculator Calculate the acceleration due to gravity at different altitudes using the formula: \( g = g_0\left(\frac{R}{R+h}\right)^2 \) where \( g_0 \) is the acceleration at sea level, \( R \) is the Earth’s radius, and \( h \) is the altitude above the surface. * […]
Read MoreTerminal Velocity Calculator using Stoke’s Law Terminal Velocity Calculator using Stoke’s Law Calculate the terminal velocity of a sphere using Stoke’s Law: \( v_t = \frac{2}{9}\frac{r^2 (\rho_p – \rho_f) g}{\mu} \) where \( r \) is the sphere’s radius (m), \( \rho_p \) is the particle density (kg/m³), \( \rho_f \) is the fluid density […]
Read MoreProjectile Motion Trajectory Calculator Projectile Motion Trajectory Calculator Calculate the projectile motion parameters using the formulas: \( T = \frac{2v_0\sin(\theta)}{g} \), \( H = \frac{v_0^2\sin^2(\theta)}{2g} \), and \( R = \frac{v_0^2\sin(2\theta)}{g} \). where \( v_0 \) is the initial velocity (m/s), \( \theta \) is the launch angle (degrees), and \( g \) is the […]
Read MoreShort Transmission Line Efficiency & Regulation Calculator Short Transmission Line Efficiency & Regulation Calculator For a short transmission line, the receiving-end voltage is approximated by: \[ V_R = V_S – \frac{I\Bigl(R\cos\phi + X\sin\phi\Bigr)}{1000} \] where \(\phi=\arccos(PF)\). Then, the efficiency is \[ \eta = \frac{V_R}{V_S}\times100\% \] and the voltage regulation is \[ \text{Regulation} = \frac{V_S-V_R}{V_R}\times100\%. \] […]
Read MoreFerranti Effect Voltage Calculator Ferranti Effect Voltage Calculator Calculate the receiving-end voltage due to the Ferranti effect using: \( V_R = V_S \sec(\beta L) \) and \( \Delta V = V_R – V_S \) where \( \beta = 2\pi f \sqrt{L’ C’} \) (with \(L’\) in mH/km and \(C’\) in µF/km) and \(L\) is in […]
Read MoreFinesse Value of Cavity Calculator Finesse Value of Cavity Calculator Calculate the finesse \(F\) of a Fabry–Pérot cavity using the formula: \( F = \frac{\pi\sqrt{R}}{1-R} \) where \(R\) is the mirror reflectivity (0 < \(R\) < 1). * Enter the mirror reflectivity as a decimal (e.g., 0.99). Step 1: Enter Mirror Reflectivity Mirror Reflectivity, \(R\): […]
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