Question:- When one does twice the work in twice the time, the power expended is _____.
Answer: “same”
In this topic, power is defined by the average rate of power or the amount of work completed in a specified period of time. The essence of the statement is when the amount of work is doubled then time also doubled but the amount of work done per unit time is remains the same. In mathematical terms, if the work has been increased from W to 2W and the time has been increased from t to 2t then the power manifests the same constant value, as the power is defined as W/t, therefore, (2W/2t = W/t).
Hence, when the work and time both increase proportionately, there is no additional power that has been spent more than that used before. This principle plays a pivotal role in identifying how work, time, and power are related, and it may be useful in several branches of study including physics, civil and mechanical engineering, and even basic energy computations.
Leave a Reply