Question

A car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s, The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car. The combinded moment of inertia of the rotating masses is $10kg-m^2$. The magnitude of the gyroscopic moment in (N-m) is

Answer 1

Moment of inertia of rotating mass,
$I=10kg{m}^2$
$\omega =100rad/s$
${\omega }_p=\frac{v}{r}=\frac{20}{100}$ rad/s
Gyroscopic moment
$=I\times \omega \times {\omega }_p$
$=10\times 100\frac{20}{100}=200$ Nm