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How does runway slope affect allowable take-off mass, assuming other factors remain constant and not limiting?

  • A

    A downhill slope increases allowable take-off mass.

  • B

    Allowable take-off mass is not affected by runway slope.

  • C

    An uphill slope increases the allowable take-off mass.

  • D

    A downhill slope decreases allowable take-off mass.

Refer to figure.
If the runway is sloping, a component of the weight will act along the longitudinal axis of the airplane.
This will either augment thrust, or augment drag which will increase or decrease the accelerating force.
A downhill slope will increase the accelerating force, and reduce the take-off distance, whereas an uphill slope will reduce the accelerating force and increase the take-off distance.
V1 can be increased and consequently the TOM for the same TODA.

Even though it is an uphill slope and the aircraft will come to stop within a shorter distance, the aircraft will need a longer distance to accelerate to V1.
The acceleration needed to achieve V1 has a major impact in the ASDR calculation.
In case of a downhill slope the ASDR decreases.

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