Rate of change of displacement with respect to what?hugoARD said:In the integration of Force with respect to displacement (W=∫F.dx), is that true if the rate of change of displacement approaches to zero?
That makes sense. If the rate of change of displacement with respect to time goes to zero, that means the velocity goes to zero and the rate at which work is done goes to zero: dW/dt = F dx/dthugoARD said:My teacher said the one which approaches to zero is the rate of change of time.
dW/dx describes how work changes with distance. It equals force, not zero.hugoARD said:But If I arrange the formula, I will get F=dW/dx then F= lim Δx→0 ΔW/Δx. Please help
In physics, work is defined as the product of force and displacement, or in other words, the amount of energy transferred when a force is applied over a certain distance.
As the displacement approaches zero, the rate of change of displacement also approaches zero. This means that the work done by a force when the displacement is very small or negligible is also very small or negligible.
In real-world situations, work can be seen as the effort required to move an object over a distance against a resisting force. For example, when pushing a cart, the force applied is doing work by moving the cart a certain distance.
Understanding the relationship between work and displacement is crucial in understanding the concept of energy. Work is a form of energy, and the amount of work done can be used to determine the amount of energy transferred or transformed in a system.
The equation W=F.dx can be applied in various scientific fields, such as mechanics, thermodynamics, and electromagnetism. In mechanics, it is used to calculate the work done by a force on an object. In thermodynamics, it is used to calculate the work done during a change in a system's volume. In electromagnetism, it is used to calculate the work done by an electric or magnetic field on a charged particle.