Then the work done by the force in moving an object from x a x a to x b x b is given by, W b a F (x) dx W a b F ( x) d x. So, let’s suppose that the force at any x x is given by F (x) F ( x).
University Physics 12th Edition, Chapter 6, Equation #6. However, most forces are not constant and will depend upon where exactly the force is acting. Khan Academy's Introduction to work and energy. Force to Fully Compress a Spring: This computes the force required to fully compress a spring based on the spring's physical attributes including the Young's Modulus, wire diameter, length of spring, number of windings, Poisson ratio, and outer diameter of the spring. Hooke's Law: This computes the force to change the length of a spring based on the spring constant and length of displacement. Initially the nets are standing still with zero velocity at the edge of the ice hockey rink. Suppose we needed to set up ice hockey goal nets. Work done on a Spring: This computes the work based on the spring constant and the two positions of a spring. Work is a measurement of energy, so it may seem odd to think that a work can be negative but it can Work is how much energy is done by a force over a distance. Spring Constant: This computes a spring's constant based on the mass and period of oscillation. Angular Frequency of a Spring: This computes the angular frequency based on the spring constant and the mass. Mass of a Spring: This computes the mass based on the spring constant and the period of oscillation. Period of an Oscillating Spring: This computes the period of oscillation of a spring based on the spring constant and mass. The Force is defined to be linearly increasing with the distance, x: `F= k*x` Spring Equation Calculators However, in this case of a force applied to a spring, the force is not constant. If we continued to apply that force of n Newtons to move the mass some distance, d meters, then he work done would be W = n*d Joules Work is defined to be the energy transferred by a force and mathematically work is defined in the simplest case where the force is constant to be: Work = Force * Distance.įor example: to move a mass, to just barely get it moving, might require a force of n Newtons. This equation is very similar in form to the equation for the potential energy of the spring and is often confused with the potential energy equation. x f is the final position of the spring. x i is the initial position of the spring. If you integrate the force (F) on spring over a distance, you get the following equation. However, this can be automatically converted to compatible units (e.g. 
Work to Elongate or Compress a Spring (W): The calculator returns the work in Newton meters (N ( k) Spring constant in Newtons per meter (N/m).INSTRUCTIONS: Choose units and enter the following:
The Work Done on a Spring calculator computes the work (W) to further elongate or compress a spring based on the spring constant (k) and the initial and final positions of the spring.
0 kommentar(er)
