For the potential energy the formula is.
Work energy principle formula.
For a constant torque the work can be expressed as and for a net torque newton s 2nd law for rotationgives.
Pe ke w k.
For a spring this can be written.
Wnet kf ki k.
Work and potential energy.
Mathematically it is expressed as.
The rate of doing work is equal to the rate of using energy since the force transfers one unit of energy when it does one unit of work.
Integration of this power over the trajectory of the point of application c x t defines the work input to the system by the force.
In other words the work done is equal to the change in energy.
If energy is not conserved then it is used to do work.
The work energy principleis a general principle which can be applied specifically to rotating objects.
This linear relationship between the force and the displacement is known as hooke s law.
Mgh 0 5mv 2 force distance k.
The work energy theorem states that the net work done by the forces on an object equals the change in its kinetic energy.
The si unit of energy is joules j which is named in honour of james prescott joule.
In other words w is telling you the amount of energy that the force f is giving to the object.
K is a measure of how difficult it is to stretch a spring.
It is also known as the principle of work and kinetic energy.
Sometimes people forget that the work energy theorem only applies to the net work not the work done by a single force.
Power can be defined as the rate at which work is done i e.
The formula to find the work done by a particular force on an object is w equals f d cosine theta.
The net work done by the forces acting on the body is equal to the change in kinetic energy of the body.
The scalar product of a force f and the velocity v of its point of application defines the power input to a system at an instant of time.
The larger k is the stiffer the spring is and the harder the spring is to stretch.
F kx where k is known as the spring constant.
The amount of energy transferred by a force is called the work done by that force.
Potential energy kinetic energy work constant.
Mgh 0 5 mv 2 f d k.
For pure rotation the net work is equal to the change in rotational kinetic energy.
The unit of power is watt w.
Work energy principle for angular quantities.
For example the work done against gravity is equal to the change in the potential energy of the body and the work done against all resistive forces is equal to the change in the total energy.
W refers to the work done by the force f.
Now to make it work you need to keep track of sign for each.
The formula for power is.
