Drag force calculator

Drag goes as the square of speed and the power to overcome it as the cube, which is why top speed is so expensive.

m2
kg/m3
Drag force
363.825N
= Exact Aerodynamic drag
Power to overcome it
10 914.75
Same power
14.637 hp
Drag area CdA
0.6600 m2
Power at twice the speed
87 318
Show the working
  1. Drag coefficient = 0.3
  2. Frontal area = 2.2
  3. Air density = 1.225
  4. Speed = 30
  5. Drag force = 0.5 * 1.225 * 0.3 * 2.2 * 30^2 = 363.825
  6. Power to overcome it = 363.825 * 30 = 10 914.8
  7. Same power = 10 914.8 / 745.69987158227022 = 14.6369
  8. Power at twice the speed = 0.5 * 1.225 * 0.3 * 2.2 * (2*30)^3 = 87 318
  9. Drag area CdA = 0.3 * 2.2 = 0.66

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • F = (1/2) rho Cd A v^2
    • P = F v = (1/2) rho Cd A v^3

    Doubling speed multiplies the drag power by eight. Above about 80 km/h a car spends most of its fuel on air.

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