GATE 2018 CE (CE1) – Question 27
Flow velocity components are $u=y^2$, $v=-xy$, $w=0$. The z-component of angular velocity at (0,−1,1), to two decimals, is ______ radians per unit time.
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Correct answer: 1.50 to 1.50
Explanation
Angular velocity is half the curl: $\omega_z=(\partial v/\partial x-\partial u/\partial y)/2=(-y-2y)/2=-3y/2$. At y = −1, it equals 1.50 radians per unit time.