Recent content by NuclearMeerkat
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Verification of Stoke's Theorem for a Cylinder
Rz = (0,0,1) and Rθ = (-asinθ,acosθ,0) use -Rz because it the bottom face giving dΣ = (-acosθ,asinθ,0) therefore the integral is ∫dθ∫dz (3x,-y,-2(z+y))⋅(-acosθ,asinθ,0)- NuclearMeerkat
- Post #6
- Forum: Calculus and Beyond Homework Help
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Verification of Stoke's Theorem for a Cylinder
∇×A in cylindrical coordinates is (3acosθ,-asinθ,-2(z+asinθ)) and then I integrate w.r.t. θ and z?- NuclearMeerkat
- Post #3
- Forum: Calculus and Beyond Homework Help
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Overcoming Math Challenges in Nuclear Engineering: Tips for Success
Hi. I'm Martin and I'm studying Nuclear Engineering at University in the UK, the degree is excellent and all I hoped, but the maths runs me into the ground sometimes. I'm hoping to have a career in the fusion research area.- NuclearMeerkat
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- Replies: 2
- Forum: New Member Introductions
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Verification of Stoke's Theorem for a Cylinder
Homework Statement Homework Equations Stoke's Theorem: The Attempt at a Solution ∇×A = (3x,-y,-2(z+y)) I have parametric equation for wall and bottom: Wall: x(θ,z) = acosθ ; y(θ,z) = asinθ ; z(θ,z) = z [0≤θ≤2π],[0≤z≤h] Bottom: x(θ,r) = rcosθ ; y(θ,r) = rsinθ ; z(θ,r) = 0 [0≤θ≤2π],[0≤r≤a]...- NuclearMeerkat
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- Cylinder Proof Surface integral Theorem Vector calculus
- Replies: 6
- Forum: Calculus and Beyond Homework Help