Automotive & Engines
Intermediate

Power-to-Weight Ratio

Engine power divided by vehicle mass — the key to acceleration.

Formula

PWR=PmPWR = \frac{P}{m}

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Variables

PWRPower-to-weight (kW/kg)
PPower (kW)
mMass (kg)

Example

150 kW, 1200 kg: PWR = 0.125 kW/kg

How it works

Power-to-weight ratio compares how much engine power is available for each kilogram of vehicle mass. It matters because, for a given amount of power, a lighter vehicle can increase its speed more quickly: there is less mass to accelerate, so the same power produces a bigger change in motion. This is why sports cars, race cars, and even some motorcycles are judged not just by horsepower, but by how much weight that power has to move.

When to use it

Use this formula when comparing the performance potential of different vehicles, especially for acceleration, hill climbing, or track use. It is also useful in design and motorsport when deciding whether a power increase or a mass reduction will improve performance more effectively.

Worked example, step by step

Step 1: Write the formula PWR = P / m Step 2: Substitute the values PWR = 90 kW / 750 kg Step 3: Calculate PWR = 0.12 kW/kg Final answer: The vehicle’s power-to-weight ratio is 0.12 kW/kg.

Common mistakes to avoid

  • Using horsepower and kilograms without converting to consistent units
  • Dividing mass by power instead of power by mass
  • Assuming a higher power-to-weight ratio automatically means a faster top speed, when it mainly relates to acceleration

Did You Know?

A Bugatti Chiron and a superbike can have similar top speeds because both maximise power-to-weight.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026