Examples of Spring Force
Spring Force Equation: How to Find the Spring Force
How to Calculate Spring Force
PendulumRubber bandBungee cordKeys in a PC keyboardTrampolineBrakes, clutches, and shock absorbersWatches and toysPogo stickSpring balance
F ∝ x Spring Force Formula: F = -kx Unit of Spring Force: Newton or N Here, k is known as the force constant. The negative sign is because the force is opposite to the displacement, that is, the force displaces the spring from its equilibrium position. This equation applies to both compression and extension of spring. The force can be measured using a spring tester. The magnitude of the spring constant is given by, k = F/x Suppose F = 1 N and x = 1 m, then k = 1 N/ 1 m = 1 N/m Therefore, the spring constant is defined as the force required to displace the spring by one meter. It has a unit of Newton per meter (N/m) and a dimension given by MT-2. Work Done by Spring Force The work done W by the spring force is given by, W = F.x Spring Force on an Object Suspended by a Spring If an object of mass m is suspended by a spring, then it is displaced by its own weight. The spring force is its weight mg mg = -kx Or, |k| = mg/x The above equation can be used to find the force constant of the spring. Torsion on a Spring The above equation for spring constant is applied when the force is along the axis of the spring. In the case of torsion, where the applied force makes a twist in the spring, the equation for k is, k = P.M/Deg where, P = Force exerted on spring M = Moment arm of the spring Deg = Angle by which the spring rotates Given, k = force constant of the spring = 8 kg x = displacement of the spring = 6 cm = 0.06 m The magnitude of the spring force is, F = kx = 1300 N/m x 0.06 m = 78 N
