So something weĬan try is to plug in the formula for work, which The instantaneous power? Well, we know that power Let's say you weren't so lucky,Īnd the instantaneous power was changing as Per time gives you both the average power and Power over any time interval is going to equal the The instantaneous power, which equals 6,250 watts. Power never changes, the average power just equals Instantaneous power output was 6,250 watts atĮvery given moment. The instantaneous power without having to use calculus. Infinitesimals typically requires the use of Interval infinitesimally small, we'd be finding the power The time intervals that got smaller and smaller, we'dīe getting closer and closer to the power outputĪt a given moment. Output because we've been looking at the total We've really been finding here is the average power If we plug in the valuesįor the mass and the speed, we find the engine had a Was given kinetic energy and it took two seconds to Out how much energy was given to the car. We can find the powerĭone on the car divided by the time it took Let's say a 1,000 kilogramĬar starts from rest and takes 2 seconds to reach a And the watt is abbreviatedĪt another example. Of the weightlifter on the left during his lift Output of the weightlifter on the right during his lift The definition of power, we'll find that the power The weightlifter on the left takes 3 seconds to Right takes 1 second to lift his weights, and We already said thatīoth weightlifters are doing 1,960 joules of work. To be specific, power isĭefined as the work done divided by the time that Something like an automobile engine does work. Rate at which someone like these weightlifters or Their actions in physics by talking about power. And there should beĪ way to distinguish between what he's doingĪnd what the other slower weightlifter is doing. On the right is lifting his weight faster. Gravitational potential energy, and you find that the workĭone by each weightlifter is 1,960 joules. Meters, and the masses are 100 kilograms each. The amount of energy you give something or That is because work is the amount of energy Lifting his weight faster, but they're both doing Feel free to correct me or to give a better explanation. I'm not certainly sure if what I'm saying is right. Thinking of a car makes the process somehow easier.Īs a conclusion, please take this with a grain of salt. It is important to determine the point at that infinitesimal time interval to decide how much power the object has. If we were talking about a non-constant acceleration object, then the same analogy could be done. That particular velocity it has in that particular frame of time does matter to the power the object has. So what does this result mean? Well, you are saying that the mass of that object times the total constant acceleration it has times the instantaneous velocity will result in the power. Then, the instantaneous speed is a magnitude that is constant by the simple meaning that is in an infinitesimal time interval. So now we can see that for the power, the mass does matter.
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