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Grade 12Mechanics

Why velocity at outermost point of the wheel is twice the velocity at center? In given image ques 13

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Profile image of Anjali
10 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
10 Years ago
If v= Ω x r, for constant angular velocity Ω, then the vorticity is 

ω = ∇ x v = ∇ x (Ω x r) = Ω (∇•r) = 2 Ω, 
because the divergence of r (in 2D) equals 2.