GO Mechanical
0 votes

Given a vector $\overrightarrow{u} = \frac{1}{3} \big(-y^3 \hat{i} + x^3  \hat{j} + z^3 \hat{k} \big)$ and $\hat{n}$ as the unit normal vector to the surface of the hemipshere $(x^2+y^2+z^2=1; \: z \geq 0)$, the value of integral $ \int (\nabla \times \overrightarrow{u}) \bullet \hat{n} \: dS$ evaluated on the curved surface of the hemishepre $S$ is

  1. $- \frac{\pi}{2} \\$
  2. $\frac{\pi}{3} \\$
  3. $\frac{\pi}{2} \\$
  4. $\pi$
in Others by (21.2k points) 4 72 230
retagged by

Please log in or register to answer this question.


Related questions

Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.

1,314 questions
81 answers
3,438 users