How Does Tesla's Motor and Battery System Work?

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Tesla's motor and battery system features various configurations, with horsepower ranging from 302 to 416 and torque from 317 to 443 lb-ft, depending on the battery size. The discussion highlights the relationship between voltage, current, and power, emphasizing that during normal cruising, the motor uses only a fraction of its peak power. Comparisons are made with an 18V impact driver, noting that while it produces significant torque, it cannot sustain the performance needed for a small car due to its limited battery capacity and operational duration. The conversation also questions the assumptions about torque and RPM in different applications, suggesting that calculations should be made to better understand these relationships. Ultimately, the feasibility of using small motors for automotive applications is challenged by the limitations of their power output and battery life.
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So I'm wondering about Motor being used in Tesla Auto/Car and battery which powers it. From their website the specs are like this:

1] 302 hp (225 kW) 5,000-8,000 rpm for 60 kWh battery gives 317 lb-ft (430 Nm) @ 0-5,000 rpm
2] 362 hp (270 kW) 6,000-9,500 rpm for 85 kWh battery gives 325 lb-ft (440 Nm) @ 0-5,800 rpm
3] 416 hp (310 kW) 5,000-8,600 rpm for 85 kWh battery gives 443 lb-ft (600 Nm) @ 0-5,100 rpm

I want to know how much Current and Voltage does the Motor draws from the battery at given instance and how long would the battery would last? Can anyone explain by taking one of the example from above? They claim that the Car can drive for 200+ miles before battery juice is over.
 
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According to this, the battery voltage is 375 V. http://www.roperld.com/science/TeslaModelS.htm

So do you know the equation that relates voltage, amperage and power? Since we don't like to just spoonfeed, can you give it a shot?

I'll give you a hint: while cruising, the motor outputs a very small fraction of its peak power.
 
I got closer to the answer from the Voltage of the battery, which I was not aware of. Now I have another question:
The motor peak torque output is = 317 lb-ft (430 Nm) with given parameters.
Now here [link below] is the 18 v Impact driver from Ridgid company, which claims torque of 1750 In lbs ( almost 200 Nm).
http://www.homedepot.com/p/RIDGID-H...t-Driver-R86034K/202581838?N=18g#.UabSQc28rOM

The question is : Can I run a small car, like "Smart Car" size car using this motor in Impact driver?
 
Probably not - at what RPM does the impact driver turn?
 
The Li-ion batteries in the Ridgid tools come in 1.5 and 3.0 amp-hr capacities. If you get a car running with the battery and motor, it won't run for long.
 
The RPM = 2400. RIDGID and similar tool makers of Impact Drives claim their batteries run around 20-30 min or so.
What seems interesting to me is Torque of 1750 in-lbs at 2400 rpm generated by this small 18 V battery and this small motor, which is may be 3 inches long and 2 inch in diameter.
So in nutshell the Output from RIDGID motor and battery is 2400 RPM and 1750 in-lbs, which is almost half of Tesla motor's output. Does this make any sense or I'm blabbering?
 
1. It's less than 1/4.
2. Are you sure that torque occurs at peak RPM? I'd bet it doesn't.
3. Are you sure that torque is continuous? It is, after all, an impact driver.
4. Are you sure the the duration is at peak output? I'd bet it isn't.

Do you know the equation that relates torque, rpm and power? How much horsepower do you think that impact driver might deliver?

You know, you could take a shot at calculating these things and verify them instead of guessing...
 
Curious - you should put numbers on things.

http://www.allaboutbatteries.com/Battery-Energy.html

A battery small enough to pick up can't move a car very far.

http://www.designnews.com/author.asp?section_id=1366&doc_id=238863

click the image to watch the slideshow
 
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