HomeCalculatorsNomoto T - Turning Time Constant

Nomoto T - Turning Time Constant

Nomoto first-order time constant T from the yaw-rate rise-to-steady time - measures how quickly the ship responds to rudder.

NomotoManoeuvringT index
T (first-order time constant)
38.0s

Formula, assumptions, and limits

$$T = t_{63\%}$$

Merchant ships T = 10–50 s depending on size and speed. Combines with K for first-order linear Nomoto model: T·ψ̈ + ψ̇ = K·δ.

Symbol legend

SymbolMeaningUnitSource
$t_{63\%}$Time to reach 63 % of steady yaw rateszig-zag test

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