Yes, m*g*h is appropriate. I'm not sure how much difference air density will make, but that's part of the formula, too. Basically, you figure your areo drag on the level, add in any efficiency losses, and add the force necessary to climb. Other factors would be acceleration from a start and deceleration (hard to do) and other speed and slope variations but I don't think they'll even make 1% difference.

Here's the drag formula, which include air density, from an email severaal days ago. To convert that to energy, multiply the result times distance, in other words w (work) = f * d.

1/2 * Cd * A * air density * speed^2

where
Cd == drag coefficient (you can look this up for many car models)
A == frontal area: the area of the vehicle as viewed in 2D from the front, in meters^2
air density = roughly 1.2 kg/m^3 at standard temperature and pressure.
speed: in meters/second

will give you the resistance (i.e. force) in N (newtons).

Peri

------ Original Message ------
From: "Peter Eckhoff via EV" <[email protected]>
To: "Zeke Yewdall" <[email protected]>; "Electric Vehicle Discussion List" <[email protected]>
Sent: 03-Aug-14 5:56:33 PM
Subject: Re: [EVDL] As an aid when recommending an EV to someone else,

Hi Zeke,

When I joined this list about 10 years ago, there is an expression concerning EVs that "hills kill" in reference to the fact that a lot more kwhrs are expended going up and down hill than on the flat. For that reason, talk of driving an EV in mountainous or even very hilly areas was almost non existent. The main problem for us was starting uphill from a dead stop with a DC motor.

Now we have Teslas going cross country. A high school classmate said she saw a Tesla at Breckenridge and I don't doubt her one bit. I assume that person did not have it transported there but drove it up from one of the big cities along the Front Range. Heck, they could have driven it in from the east or west coast.

As a question to the List, is there a way to calculate how many kwhrs it would take to go from Boulder (5430' MSL) or Fort Collins (4982' MSL) to Estes Park(38 & 42 miles, respectively (7522' MSL), CO? And from Estes Park (7522' MSL, to the Alpine Visitor Center, Rocky Mountain NP (24 miles, max elev.: 12,200'MSL); almost a mile - 500 feet in the vertical.

Would the old potential energy formula of Energy (kwhrs) = m*g*h (mass, gravity, and height) work?

At lower altitudes near sea level, I assume that more energy is expended per foot of altitude change due to more air resistance so a climb from Old Fort (1450' MSL), NC to Asheville, NC (24.2 miles) (2300' MSL at top of the pass leading into Asheville) would require more energy than at the same speed and distance going up into the Rocky Mountains.

Has anyone noticed the attitute sea change? Before the Tesla, we might not have bothered with this question. Now it is something to discuss because it **has** happened and can **easily** happen again.

EV discussions on driving in mountains has arrived!!

On 8/3/2014 9:33 AM, Zeke Yewdall via EV wrote:
good point Roland. Living 11 miles from the closest gas station as I do, with most of them at least 25 miles away, there have been days where I did not have sufficient gas in my car to do a 40 mile trip (20 miles each way, the other direction from the gas station), and had to turn it into a 62 mile trip -- going the opposite direction to get gas, first, then doing the trip. An EV would have been able to charge at the house and ready to go in
any direction from it.

As a side note, I'm seeing more and more leaf's up in the mountains, where people never used to take EV's (we're a 4,000 foot climb above Boulder). I've seen them up at campgrounds up in the mountains and in Rocky Mountain National Park and all kinds of places. Not just inside the metro area any
more.

Z


On Sun, Aug 3, 2014 at 7:30 AM, Roland via EV <[email protected]> wrote:

One more thing you can add in range comparison between a EV and a ICE is:

I was ask what is the range of my electric, I said it may have the same
range of a ICE some of the time and more at other times.

The EV has the same maximum range every day, because I charge it once a day or after each trip. Some ICE's do not have that maximum range daily,
because they may only fill up once every two weeks or once a month.

Thus the convenient of filling up the EV at home may only take 3.5 minutes
to charge.

Roland


   ----- Original Message -----
   From: Dennis Miles via EV<mailto:[email protected]>
   To: EVDL Administrator<mailto:[email protected]> ; Electric Vehicle
Discussion List<mailto:[email protected]>
   Sent: Saturday, August 02, 2014 11:44 PM
   Subject: [EVDL] As an aid when recommending an EV to someone else,


One question that a potential EV car buyer always asks is "Just how far
it
   will take me before another charge is needed? "

Perhaps we should have another computation available, as comparison,
   for each vehicle:

Cost to drive 40 miles (Average daily commute.) (Dollars per mile.)

   Time to drive 1,000 miles?

   Cost for all fuel consumed?

   Time to drive 2,000 miles ?

   Cost?

   Time to drive 3,000 miles ?

   Cost?

   Distance drivable in eight hours?

   Cost?

   Distance drivable in 16 hours ?

   Cost ?

Footnote: assuming 65 mph average speed and stops as needed for charging
or
   refueling.

   Not including driver's breaks for food and "necessary" stops...

   Dennis Lee Miles

   (*[email protected]<mailto:*[email protected]>
<[email protected]<mailto:[email protected]>>)*

   * Founder: **EV Tech. Institute Inc.*

*Phone #* *(863) 944-9913 (12 noon to 12 midnight Eastern US Time)*

*Educating yourself, does not mean you were **stupid; it means, you are intelligent enough, **to know, that there is plenty left to learn!*

   * You Tube Video link: http://youtu.be/T-FVjMRVLss<
http://youtu.be/T-FVjMRVLss>
   <http://youtu.be/T-FVjMRVLss<http://youtu.be/T-FVjMRVLss>> *
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