A Tesla Model S Plaid has 1020 peak horsepower and a 99.3 kW-hr 400-volt battery pack. How long can it maintain peak power output and still maintain 10% total charge?

Give your answer in minutes.

Answer :

The Tesla Model S Plaid can operate at its maximum power for 47 seconds, or roughly 0.78 minutes, while still having 10% of its complete charge remaining.

What is the time?

The battery capacity must first be changed from kW-hr to watt-hours:

1000 × 99.3 kW-hr =99,300 watt-hours.

The quantity of total energy consumed by the vehicle over the course of a set period of time must then be determined. The formula is as follows:

Power + Time = Energy

where:

time is measured in hours

power in watts

energy is measured in watt-hours.

The peak power must be changed from horsepower to watts:

746 watts per horsepower / 1020 peak horsepower = 761,520 watts.

The formula can now be rearranged to solve for time:

Time = Power / Energy

Time = (0.1 99,300 watt-hours) / 761,520 watts.

Time = 0.013 hours or 0.78 minutes.

Therefore, the Tesla Model S Plaid can maintain peak power output for 0.78 minutes.

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