Resultant Force Vector Calculator Calculate the resultant force using the parallelogram law: \[ R = \sqrt{F_1^2 + F_2^2 + 2\,F_1\,F_2\cos\theta} \] and the angle between \( F_1 \) and the resultant: \[ \alpha = \arctan\!\left(\frac{F_2\sin\theta}{F_1+F_2\cos\theta}\right) \] * Enter forces in newtons (N) and angle in degrees. Step 1: Enter Parameters Force \( F_1 \) (N): […]
Read MoreGravitational Potential Energy Calculator Gravitational Potential Energy Calculator Calculate the gravitational potential energy using the equation: \[ U = m\,g\,h \] where \( m \) is the mass (kg), \( g \) is the gravitational acceleration (m/s²), and \( h \) is the height (m). * Enter all values in SI units. Step 1: Enter […]
Read MorePegged Pendulum Minimum Drop Height Calculator Pegged Pendulum Minimum Drop Height Calculator Calculate the minimum height from which a pendulum must be dropped to complete a full circle about a peg using the equation: \[ h = \frac{5}{2}(L-d) \] where \(L\) is the pendulum length and \(d\) is the distance from the pivot to the […]
Read MoreTidal Force Calculator Tidal Force Calculator Calculate the tidal force using the equation: \[ F_{\text{tidal}} \approx \frac{2GMmr}{R^3} \] where \(G\) is the gravitational constant. * Enter masses in kg, distances in m, and radius in m. Step 1: Enter Parameters Primary Mass, \( M \) (kg): Example: 5.97×1024 kg (mass of Earth) Secondary Mass, \( […]
Read MoreTorque Calculator Torque Calculator Calculate the torque using the equation: \[ \tau = F \, r \, \sin\theta \] where \( F \) is the force, \( r \) is the lever arm length, and \( \theta \) is the angle between the force and the lever arm. * Enter force (N), lever arm length […]
Read MoreVelocity of Efflux using Torricelli’s Theorem Calculator Velocity of Efflux Calculator Calculate the velocity of efflux using Torricelli’s theorem: \[ v = \sqrt{2gh} \] where \( g \) is the gravitational acceleration and \( h \) is the height of the fluid column. * Enter all values in SI units. Step 1: Enter Parameters Height, […]
Read MoreAngular Speed Calculator Calculate the average angular speed using the formula: \[ \omega = \frac{\theta_f – \theta_i}{t} \] where the angular displacement is converted to radians. * Enter angles in degrees and time in seconds. Step 1: Enter Parameters Initial Angle, \( \theta_i \) (°): Example: 30° Final Angle, \( \theta_f \) (°): Example: 90° […]
Read MoreAngular Acceleration Calculator Calculate the angular acceleration using the equation: \[ \alpha = \frac{\omega_f – \omega_i}{t} \] where \(\omega_i\) is the initial angular velocity, \(\omega_f\) is the final angular velocity, and \(t\) is the time interval. * Enter angular velocities in rad/s and time in seconds. Step 1: Enter Parameters Initial Angular Velocity, \( \omega_i […]
Read MoreNewton’s Law of Gravitation Calculator Newton’s Law of Gravitation Calculator Calculate the gravitational force between two masses using the equation: \[ F = G\,\frac{m_1\,m_2}{r^2} \] where \(G \approx 6.67430 \times 10^{-11}\, \text{m}^3/(\text{kg}\cdot\text{s}^2)\). * Enter masses in kilograms (kg) and distance in meters (m). Step 1: Enter Parameters Mass 1, \( m_1 \) (kg): Example: 5 […]
Read MoreParabolic Projectile on a Level Field Calculator Calculate the key parameters for a projectile launched on level ground using: Time of Flight: \( T = \frac{2v_0\sin\theta}{g} \) Horizontal Range: \( R = \frac{v_0^2\sin2\theta}{g} \) Maximum Height: \( H = \frac{v_0^2\sin^2\theta}{2g} \) * Enter the initial velocity (m/s), launch angle (°), and gravitational acceleration (m/s²). Step […]
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