Power | Meaning & Concept [Explained]

We explain what power is in physics and mathematics. Also, what is a world power and other meanings of the term.

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What is power?

The concept of power exists in different fields of human knowledge, such as philosophy, physics, mathematics or even in different areas of daily life. In all cases, however, it has a similar meaning, linked to the ability to perform an action, produce an effect, or unleash a force . Thus, having power implies also having these capabilities, that is, having power.

The word power comes from Latin, specifically from the voice potentia (“have power”), derived from the verb posse (“can”). That was the translation that the Romans gave to the Greek term dunamis (δύναμις), used by philosophers such as Aristotle to designate the capacity or the possibility, depending on the context .

In Aristotle's work, in fact, two senses of power are differentiated: a weak one, which alludes to the fact that something could simply happen; and another strong one that implies that things are given to do something well or to do something completely.

Later, Aristotle differentiated the potentiality (possibility) of things and beings, their capacity to do something, from the realization of said possibility, that is, their actuality (performance). These considerations were key to the history of Western thought and especially to the founding of disciplines such as physics, responsible for studying movement, energy and work.

Power in physics

In the field of physics, dedicated to the study of natural forces, the term power (represented with the letter P) means a certain amount of work (W) performed, expressed in joules (J), with respect to each unit of determined time

This means that the power of a body is the amount of work that said object does per unit of time that is, the force that it imposes on another body, the energy that it transforms, etc. That is why Its generic calculation formula is P = W/t. The unit in which power is measured is the watt, equivalent to 1 joule per second (1 w = 1 j/s).

However, power acquires very specific meanings in the different branches of physics:

In the mechanics power means something very similar to the above: the amount of force that is imposed on a body to induce a certain amount of movement (and therefore, a certain speed). Therefore, the formula for calculating mechanical power is P = F. V, where F is equivalent to force (expressed in Newtons: N) and V is equivalent to speed (expressed in meters per second: m/s).
in electricity power is understood as the amount of electrical energy that is transferred by an electrical circuit per unit of time, that is, the rate at which energy is delivered or absorbed by a given element. It is expressed in kilowatts per hour (Kw/h), but its calculation methods depend on whether we are talking about direct current (DC) or alternating current (AC).
In thermodynamics calorific power is understood as the amount of heat that a body emits, that is, it releases to the environment, for each unit of time that passes. For its calculation, the formula P = E / t is used, where E is equivalent to the heat energy expressed in joules (J), and t is equivalent to the amount of time expressed in seconds (s).
In the acoustics Acoustic power or sound power is the amount of energy that a sound wave is capable of transporting through a given environment or medium, per unit of time. Its value depends largely on the wavelength, since the shorter the wavelength, the greater the concentration of energy in the waves, and therefore it is determined by the source itself that emits the sound. When we hear a sound, its “volume” is equivalent to our perception of acoustic power, expressed in decibels (dB).

Power in mathematics

math power — In the power, the base is multiplied by itself the number of times indicated by the exponent.

In the field of mathematics, a power is called potentiation. arithmetic relationship between two terms: a base (a) and an exponent (n) in such a way that the base is multiplied by itself the number of times indicated by the exponent.

This is expressed in the following way:ⁿand is usually read as “a to the nth power” or “aa to the nth power”, using ordinals to refer to the exponent. That is, 2⁴ It is read “two to the fourth power” and is equivalent to 2 x 2 x 2 x 2 (that is, 8); while 3⁵ It is read “three raised to the fifth” and is equivalent to 3 x 3 x 3 x 3 x 3 (that is, 243).

There are two exceptions to this reading method: when the exponent is 2, it is read as “squared” and when it is 3, it is read as “cubed.” Therefore, 5² reads “five squared,” while 5³ It reads “five cubed.”

World power

In international relations, world powers or great powers are called nations that are important enough at a global level to impose their own rules of the game and that they also have the necessary resources to defend them.

World powers are, in some way, the “protagonists” of the world political story, and they exercise a relationship of hegemony or subordination over weaker or dependent nations.

Therefore, a world power It is a State that has generally economic, technological and military power enough to be taken into account as an influential actor in the concert of nations.

Consequently, relationships of tension and rivalry often exist between them, but also cooperation and alliance. When a world power becomes a power within powers, it is known as a superpower.

Currently, at the beginning of the 21st century, the consolidated world powers are: Germany, the United States, France, India, Japan, the United Kingdom, Russia and China. Among them, only China and the United States qualify as “superpowers”, due to their enormous military power, their technological deployment and their economic importance.

Other common uses of the term

There are other uses for the word power in very specific contexts and expressions, such as:

Locomotive power referring to the ability of a vehicle to reach high speeds and move at full speed. For example: “The engine of my old Fiat had much more power than this one.”
sexual power which refers to the ability of a person (generally male) to satisfactorily perform the sexual act, that is, to have and sustain an erection. For example: “There are very good exercises to recover sexual potency.”
To be something in potential an expression that means that someone is capable or has all the probabilities of being or doing something certain, which does not necessarily mean that they have done it. For example: “Miguel is a murderer in power”.