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The rotor of an aeroplane engine has a mass moment of inertia $1.0 \mathrm{~kg} \mathrm{~m}^{2}$. The engine rotates at a speed of $500$ RPM in the clockwise direction if viewed from the front of the aeroplane. If the aeroplane while flying at $1200 \mathrm{~km} / \mathrm{hr}$ turns with a radius of $2$ km at same elevation, then the magnitude of the gyroscopic moment exerted by the rotor on the aeroplane structure in N m is

  1. $8.73$
  2. $17.46$
  3. $4.37$
  4. $26.19$

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