Question

The angular velocity can be given by ______________

(a) ω = 0.5(dθ1/dt + dθ2/dt)

(b) ω = (dθ1/dt + dθ2/dt)

(c) ω = 4(dθ1/dt + dθ2/dt)

(d) ω = 8(dθ1/dt + dθ2/dt)

I have been asked this question by my college director while I was bunking the class.

Asked question is from Angular Velocity, Vorticity, Strain in section Aerodynamics – Fundamental Principles and Equations of Aerodynamics

Answer 1

Correct answer is (a) ω = 0.5(dθ1/dt + dθ2/dt)

To explain I would say: Angular velocity is defined as the average of the angular velocities of the lines (2D or 3D). This is the case of 2D flow. Consider a flow, let dθ1/dt be the x component of velocity and dθ2/dt be the y component of velocity.