Power: Difference between revisions
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When a force is applied over a distance in a unit of time, power is calculated by | When a force is applied over a distance in a unit of time, power is calculated by | ||
:<math>power = \frac{F \Delta r}{\Delta t}</math> where '''F''' is force, '''Δr''' is displacement | :<math>power = \frac{F \Delta r}{\Delta t}</math> = \frac{W}{\Delta t}</math> where '''F''' is force, '''Δr''' is displacement, '''Δt''' is the duration of time and '''W''' is work. | ||
It then follows that instantaneous power is | It then follows that instantaneous power is | ||
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===Simple=== | ===Simple=== | ||
A certain motor is capable of doing 3000 J of work in | A certain motor is capable of doing 3000 J of work in 12 s. | ||
What is the power output of this motor? | What is the power output of this motor? | ||
:<math>power = \frac{W}{\Delta t}</math> = \frac{3000 J}{11 s} = 250 watts | |||
===Middling=== | ===Middling=== | ||
Revision as of 18:19, 1 December 2015
Claimed by Aeze3
This topic covers Power.
The Main Idea
Power is the rate of doing work or the amount of energy consumed over an interval of time.
A Mathematical Model
When a force is applied over a distance in a unit of time, power is calculated by
- [math]\displaystyle{ power = \frac{F \Delta r}{\Delta t} }[/math] = \frac{W}{\Delta t}</math> where F is force, Δr is displacement, Δt is the duration of time and W is work.
It then follows that instantaneous power is
- [math]\displaystyle{ power = F\cdot v }[/math] where v is velocity.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
A certain motor is capable of doing 3000 J of work in 12 s. What is the power output of this motor?
- [math]\displaystyle{ power = \frac{W}{\Delta t} }[/math] = \frac{3000 J}{11 s} = 250 watts
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
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See also
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Further reading
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External links
Internet resources on this topic
References
Chabay, Ruth W.; Sherwood, Bruce A. Matter and Interactions, 4th Edition: 1-2. Wiley.