Preparation Staff asked 1 month ago Derived quantities are physical quantities that are formed by combining two or more fundamental quantities through mathematical relationships. They cannot exist independently and depend on fundamental quantities for their definition. Derived quantities can be expressed in terms of the base units of the International System of Units (SI).
Examples of derived quantities include:
Velocity (m/s): Velocity is the rate of change of displacement with respect to time. It is derived from the fundamental quantities of length and time.
Force (newton, N): Force is derived from the fundamental quantities of mass, length, and time. It is defined by Newton's second law as the product of mass and acceleration (F = ma).
Energy (joule, J): Energy is the capacity to do work. It is derived from force and distance, specifically as the product of force and displacement (E = F × d).
Acceleration (m/s²): Acceleration is the rate of change of velocity with respect to time. It is derived from the fundamental quantities of length and time.
Pressure (pascal, Pa): Pressure is defined as force per unit area. It is derived from the fundamental quantities of mass, length, and time.
Derived quantities are extremely important in science and engineering because they allow us to describe a wide variety of physical phenomena. They are often more complex and may involve more than one fundamental quantity. The concept of derived quantities makes it possible to express intricate relationships between physical properties, such as how an object's velocity changes under the influence of a force or how energy is transferred in a system.
By understanding derived quantities, we can make sense of complex systems and develop formulas, laws, and theories that describe the behavior of physical systems.
Please login or Register to submit your answer