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A velocity field is given as V→ = 2yî + 3xĵ where x and y are in metres. The acceleration of the a fluid particle at (x, y) = (1, 1) in the x direction is
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- 0 m/s2
- 5.00 m/s2
- 6.00 m/s2
- 8.48 m/s2
Correct Option: C
→V = 2yî + 3xĵ
u = 2y, v = 3x
Acceleration in x direction, ax
ax = u. | + v. | + | = 0 | |||
∂x | ∂y | ∂t |
= 2y (0) + 3x. (2) + 0
= 6x = 6 × (1) = 6 m/s2