Enter the total thrust and the total mass into the Thrust to Weight Ratio Calculator. The calculator will evaluate and display the thrust-to-weight ratio (T/W), which is dimensionless. (This calculator uses standard Earth gravity, g ≈ 9.80665 m/s², to convert mass to weight.)
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Thrust to Weight Ratio Formula
The following formula is used to calculate the thrust-to-weight ratio. (Weight is a force; if you are given mass, convert it to weight using W = m·g.)
TWR = T / (m g)
- Where TWR is the thrust-to-weight ratio (dimensionless)
- T is the total thrust (N)
- m is the total mass (kg)
- g is gravitational acceleration (use standard Earth gravity g ≈ 9.80665 m/s² unless otherwise specified)
To calculate the thrust-to-weight ratio, divide the total thrust by the vehicle’s weight (where weight = mass × g).
How to Calculate Thrust to Weight Ratio?
The following example problems outline how to calculate thrust-to-weight ratio.
Example Problem #1:
- First, determine the total thrust (N).
- The total thrust is given as: 10,000 N.
- Next, determine the total mass (kg).
- The total mass is provided as: 500 kg.
- Finally, calculate the thrust-to-weight ratio using the equation above (with g ≈ 9.80665 m/s²).
TWR = T / (m·g)
The values given above are inserted into the equation below and the solution is calculated:
TWR = 10,000 / (500 × 9.80665) ≈ 2.0394 (dimensionless)
Example Problem #2:
For this problem, the variables required are provided below:
total thrust (N) = 50,000
total mass (kg) = 2,000
Test your knowledge using the equation and check your answer with the calculator above.
TWR = T / (m·g) = ?
