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Learn how to calculate power as the rate of work or force times velocity. See how power relates to work, energy, and machines. Explore examples and problems with solutions.
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Power in mechanical systems is the combination of forces and movement. In particular, power is the product of a force on an object and the object's velocity, or the product of a torque on a shaft and the shaft's angular velocity. Mechanical power is also described as the time derivative of work.
Review the units of work, energy, force, and distance. Use the equations for mechanical energy and work to show what is work and what is not. Make it clear why holding something off the ground or carrying something over a level surface is not work in the scientific sense.
Power is the rate at which work is done, or in equation form, for the average power \(P\) for work \(W\) done over a time \(t\), \(P = W/t\). The SI unit for power is the watt (W), where \(1 \space W …
Power is the rate of doing work or using energy, and it has the unit of watts. Learn how to calculate power for different cases of force and velocity, and see the conversion between horsepower and kilowatt.
Power is the rate at which work is done or the rate at which energy is transfered from one place to another or transformed from one type to another. The symbol for power is an italicized, uppercase P. P =. ∆ W.
The work-energy theorem relates how work can be transformed into kinetic energy. Since there are other forms of energy as well, as we discuss in the next chapter, we can also define power as the rate of transfer of energy.