Variable Force

It is interesting to note that the forces we face on a daily basis, known as variable force. Basically a force is known as working on a system when there is a change or displacement in the system. With a variable force, integration plays a major role in calculating the work done.

Exerting force on an object causes the object to move in its direction. This movement in relation to force is described as Work done. You can complete a task using Variable force or Constant Force.

In this article, learn about the different types of force, the function of constant energy, and the structure of the force displacement.

Constant Force

Work may be classified into two types: work done with a constant force and work done with a variable force. The magnitude and direction of the force are unchanged in this case.

The applied Force (F) multiplied by the Displacement (x) equals the Work Done (W) in this case. Therefore:

                                                     W=Fx

Variable Force

Work done with variable force is incredibly difficult. The magnitude and direction of the force can vary at any point throughout the process in this case. The majority of the work we do in our everyday life is an example of Variable Force. The same calculations are difficult and must be combined.

Revising Hooke’s Law

According to Hooke’s law, the force of a spring compressed or expanded is equal to the magnitude of the force of the spring’s extension or compression pressure. This spring Force, on the other hand, has the opposite effect to this extension.

Fs=-kx

Ws=Fsvdt

Formula for Variable Force

Variable force occurs when the force in the body changes (differs) over time. Integration is used to calculate the work done by a Variable force. 

Integration is required to calculate the work done in the situation of a variable force. Consider the work of spring, for example.

According to Hooke’s rule, the spring or force required to restore a completely extended spring equals its expansion but is opposite in direction of extension.

Conclusion

The Work completed by an uniform force of magnitude F at a point which moves ​​displacement d on the force direction of the product: W = Fd.

The integration method is used both to calculate the work performed by the variable force and the work performed by the constant force.

The SI unit of work is a joule; Non-SI work units include erg, foot-pound, foot-poundal, kilowatt hour, litre-atmosphere, and horsepower-hour.