Youâve just robbed a bank in Los Angeles, the cops are bearing down on you from all sides, and you need to get out of the country pronto. Mexico it is. In the alley behind the bank sits a $3 million Bugatti Chiron hypercar and a $200,000 Tesla Roadster electric sportscar. Both can reach a top speed of 250 miles per hour. Assuming the highways at are free and clear (I know, I know, itâs just a thought experiment) which vehicle do you choose to make your getaway?
If the calculations executed by the engineers at Carnegie Mellonâs Department of Mechanical Engineering are correctâand they usually areâthe Roadster is the way to go, by far. The reason: With the throttle pinned, itâll leave the Boog by the side of the road.
Assistant Professor Venkat Viswanathan and graduate researcher Shashank Sripad, both experts in battery-electric vehicle technology and veteran critics of Teslaâs preliminary performance claims, spent some time this weekend crunching the available numbers for us on the new Roadster in order to predict the totality of its capabilities. Working from the scant data provided by Tesla CEO Elon Musk during the unveiling last weekâincluding 0-60 mph and 0-100 mph data, with the key gaps being the carâs total weight and it aerodynamicsâthe scientists were able to pull together a compelling Roadsterpedia for the new machine to entice our imaginations.
To start, the Roadster will have a powerful 200 kWh battery and a range of 620 miles, according to Teslaâs announcement. What can you start to learn from that? A lot about the vehicleâs weight, for one thing. âThis is very close to the watt-hour per mile of a Model S sedan,â Sripad says, noting that the Model S packs a 100 kWh batteryâhalf that of the Roadsterâin its most aggressive performance trim. âBut the Roadster has much better aerodynamics, as claimed by Teslaâs website, so the Roadster’s weight must be similar to or higher than the Model S.â
They also note that the Tesla Model 3 compact sedan has an 80 kWh battery pack that weighs about 480kg. The engineers assume that Tesla has produced an additional 20 percent improvement in the packâs specific energy, probably due to better packaging materials. (Their reasoning there is that improvements of that magnitude in the chemistry of the battery itself is very difficult, and not yet feasible.) So the Roadsterâs battery pack likely weighs between 1,980 and 2,200 pounds, and the whole vehicle around 4,400 pounds, assuming the battery pack takes up about 45 to 50 percent of the total vehicle weight.
In terms of performance capabilities from the Roadsterâs battery, the key metric to watch is ânormalized discharge current,â or C-rate, which helps estimate how much power the battery cells are capable of providing and how fast. âEach cell has a given capacity, and the C-rate at a given discharge current equals the current normalized by cell capacity,â Sripad explains. âSo C-rate tells you how much âdischarge stressâ each cell undergoes.â
To reach the claimed 0-60 time of 1.9 seconds, for the Roadster would need a much lower C-rate compared to a Model S P100Dâthe current top-performing Tesla sedanâin order to distribute as much power as possible to the carâs electric motors. The Roadster will have twice the battery capacity, thus half the C-rate. (That is, it wonât have to work as hard to generate power as the smaller battery pack in the P100D.) So the Roadster can get to 60mph faster than a P100D because it has more cells to draw power from. To get to 100 mph in 4.2 seconds, the Roadster uses similar C-rates that the P100D uses to get to 60 in 2.5 seconds. In short the Roadsterâs battery in âPlaid modeââits fastest guiseâwill draw current at roughly the same rate as the P100D in Ludicrous mode, its own top end. Plus, itâll likely generate close to 1,500 HP to do it, compared to the P100Dâs 760 HP.
So what does this all mean in terms of choosing our getaway vehicle? The vehicle dynamics model Viswanathan and Sripad developed based on the battery capacity, the carâs weight, and its known performance data suggest that the Roadster is capable of maintaining 250 mph for between 25 and 30 minutes. A Bugatti Chiron, on the other hand, would run out of fuel in its 22-gallon tank at the same top speed in just 9 minutes. So leaving downtown Los Angeles, the Boog will peter out after just 38 milesâa bit more if running at its claimed top speed of 261 mph, which the Roadster can possibly equal. Thatâll put it somewhere near Irvine, while the Roadster can make it about 130 miles, or all the way to the border, before running out of juice.
Interesting side note: The new Roadsterâs performance precisely doubles that of its predecessor, the Tesla Roadster manufactured between 2008 and 2012 and based on the Lotus Elise chassis. Acceleration jumps from a 0-60 time of 3.9 seconds to 1.9, while top speed goes from 125 mph to 250 mph. (Pricing also doubles quite neatly, from a base of $100,000 to a base of $200,000.) Using similar logic, the original Roadster could sustain its modest top speed of 125 mph for about 15 minutes, Sripad says, meaning it would get about as far as Disneyland before the cops caught up.
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