2 Nightmares II
Classical Mechanics
Level
pending
A cylinder of radius R1 , length L and mass M,Inscribed in another bigger cylinder of radius R2 containing a liquid having coefficient of viscosity μ. If the inner cylinder is rotated with angular velocity w .find the time in which it's angular velocity becomes w/2.
2 M ln2 (R2-R1)/4piR1Lμ
M ln2 (R2-R1)/piR1Lμ
M ln2 (R2-R1)/4piR1Lμ
M ln2 (R2-R1)/2piR1Lμ
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1 solution
Using poise equation F=μA(dv/dx) Writting Torque on the inner cylinder = μ 2 pi L w R1^3/(R2-R1)=(MR1^2)/2*dw/dt Integrating thecabove from w to w/2 will fetch u the answer