Work
Definition
- action done on an object that displaces the object.
- Work is the dot product of force and displacement. It is a scalar quantity.
- Work can be ± and if it is -, then the work done is opposite of the direction of the displacement.
- it can also be defined as a change in energy.
- Work is done only when a force succeeds in moving the body upon which it acts.
- Work is only done if displacement occurs.
- The SI Unit of work is Joules (J) which is in
. - only the component of force parallel to the displacement counts towards work.
Formula
- Formula:
- where the
is the magnitude of the applied force. is the displacement of the object.
- where the
- More detailed formula:
- If the work done is inconsistent and you want to get the total amount of work done within a given time period then:
- where
is the first position of the object. - where
is the last position of the object.
Deriviation
- Other Formulas
- Deriviation for general:
- Deriviation with angle θ: