How is power expressed mathematically?

Power in a physical context is defined as the rate at which work is done or energy is transferred over time. Mathematically, power is expressed as the product of force and velocity. When force is applied to an object and it moves, the power generated can be calculated by multiplying the amount of force exerted by the speed (or velocity) at which the object moves. This relationship is crucial in understanding dynamics in various fields such as physics and exercise science.

The formula for power in this context is given as ( P = F \times v ), where ( P ) is power, ( F ) is force, and ( v ) is velocity. This calculation indicates that power increases when either the force applied or the speed of movement increases, leading to a greater rate of work done. Understanding this is essential for personal trainers to help clients improve their performance and power output effectively.