TGPSC HMWSSB Manager 2015 Paper 2 · Question 66
Question 66 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.
In a three dimensional motion of a fluid, the component of rotation about the x-axis, ω_x is
- (1/2)(∂w/∂y - ∂v/∂z)
- (1/2)(∂u/∂z - ∂w/∂y)
- (1/2)(∂v/∂x - ∂u/∂y)
- (1/2)(∂v/∂x - ∂w/∂y)
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Answer: (1) (1/2)(∂w/∂y - ∂v/∂z)
Rotation about the x-axis involves only the velocities in the y-z plane: ω_x = ½(∂w/∂y − ∂v/∂z); option (3) is ω_z.