GATE CE 2018 Set 1 — Question 27
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Water Resources Engineering → Fluid Kinematics & Dynamics
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Question
A flow field is given by , , . Value of the z-component of the angular velocity (in radians per unit time, up to two decimal places) at the point is ______
Correct answer
1.5 to 1.5
Solution
The z-component of the angular velocity is given by:Given:
Substituting these into the formula:At the point , the value of is :Thus, the z-component of the angular velocity is .
Substituting these into the formula:At the point , the value of is :Thus, the z-component of the angular velocity is .
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