Finding torque in rotating cylinder (viscosity )

  • #1
bobblehead

Homework Statement



media%2F65f%2F65f2aa1c-faf8-4801-966d-be7324771bbf%2Fimage.jpg

Homework Equations


τ= η* (dv/dy)

The Attempt at a Solution


so
dA= 2π* r * dr
T = ∫ τ * r * dA
T = ∫((0.01* r* 2*π * 450 /60)/(5*10^-3) ) * r * 2π* r *dr
= (592.1762)*(r^4/4)
T = 0.11 Nm

is this correct?
 

Answers and Replies

  • #2
haruspex
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I think it is more complicated than that. There is a velocity gradient not only horizontally but also down the slope of the rotating cone.
 

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