Discussion
Against a requirement that the roll mode time constant not exceed 1.0 second for Level 1, an aeroplane with \( L_p = -0.80 \ \mathrm{s^{-1}} \) is
Answer: C
The time constant is \( \tau_R = 1/0.80 = 1.25 \ \mathrm{s} \), which exceeds the one-second limit, so the aeroplane is non-compliant for Level 1 on this characteristic and feels sluggish in roll: the pilot rolls into a bank and waits for the rate to build. 0.80 s is the derivative read back as a time, the same slip as before but with the opposite verdict, which is why the reciprocal must be taken deliberately. A larger wing span or more effective outboard sections would raise the damping and shorten the constant.
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