
Originally Posted by
power
Part of the confusion of the gear box discussion is a basic misunderstanding of what really accelerates a vehicle. Tesla has designed a single speed gear reduction that uses a near 8:1 ratio. Coincidentally, this is a very common final ratio for most high performance piston engine cars in 1st gear and usually reach a speed of 50-60mph. Because of its near flat motor torque curve, (which is no different than many piston engine's torque curves at near the same power levels), both a piston engine in 1st gear vs a Tesla Roadster with similar peak HP power plants will accelerate at near the same rate up. (If we are talking about comparable weights). The Tesla Roadster then still is able to accelerate up to 120mph still in the same single gear.
What's more amazing about the Tesla Roasters power plant, is not so much the flat torque curve to 4500rpm, but the slow decay of power to 14,000rpm. As we know, this limits the top speed and acceleration of the vehicle to 120mph. If the Tesla Roadster was able to have a second gear that was selected somewhere well past its peak HP was reached, its top speed would be extended as well as increased acceleration to that top speed.
Acceleration is proportional to power at any same vehicle speed as seen by this simple Newtonian identify:
Acceleration=Power/(mass x velocity)