In physics, power refers to the rate at which work is done or energy is transferred. It essentially tells you how quickly a system can exert its energy.
Power is the amount of energy (measured in Joules) transferred or converted per unit of time (seconds).
Mathematically, it's represented by the equation: P = E/t, where P is power, E is energy, and t is time.
(SI) is the Watt (W). One Watt is equivalent to one Joule per second (J/s).
horsepower (hp) is used to describe the power of machines. One horsepower is roughly equal to 745.7 Watts.
Relation with work:
Work is the transfer of energy by a force acting on an object through a distance. Imagine lifting a weight; the amount of energy used to lift the weight is the work done.
Power tells you how quickly you lift that weight. You can do the same amount of work (lift the weight to the same height) slowly or quickly. The faster you lift it, the more power you're exerting.
Formula understanding:
Power can also be expressed as the product of force (F) and velocity (v) of the object being acted upon: P = Fv. This is useful in calculating mechanical power.
In electrical circuits, power can be expressed as the product of voltage (V) and current (I): P = VI. This helps determine the power consumption of electrical devices.