Q. The velocity field in a flow system is given by 𝑣 = 2𝐢 + (𝑥 + 𝑦)𝐣 + (𝑥𝑦𝑧)𝐤. The acceleration of the fluid at (1, 1, 2) is
(A) 2𝐢 + 10𝐤
(B) 4𝐢 + 12𝐤
(C) 𝐣 + 𝐤
(D) 4𝐣 + 10𝐤
Ans: 4𝐣 + 10𝐤
Solution:
The velocity field in a flow system is given by 𝑣 = 2𝐢 + (𝑥 + 𝑦)𝐣 + (𝑥𝑦𝑧)𝐤. The acceleration of the fluid at (1, 1, 2) is
