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Standard XII

Physics

Shear Stress

A man is rowi...

Question

A man is rowing a boat with a constant velocity ' $V_{0}$ ' in a river the contact area of the boat is 'A' and coefficient of viscosity in $η$ . The depth of the river is D. Find the force required to row the boat

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Solution

$F - F_{T} = m a_{r e s}$
As boat moves with constant velocity $a_{r e s} = 0$
$F = F_{T}$
But $F_{T} = η A \frac{d v}{d z}, b u t \frac{d v}{d z} = \frac{V_{0} - 0}{D} = \frac{V_{0}}{D}$
then $F = F_{1} = \frac{η A v_{0}}{D}$

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A man is rowing a boat with a constant velocity 'V0' in a river the contact area of the boat is 'A' and coefficient of viscosity in η. The depth of the river is D. Find the force required to row the boat

F−FT=maresAs boat moves with constant velocity ares=0F=FT But FT=ηAdvdz,butdvdz=V0−0D=V0Dthen F=F1=ηAv0D

A man is rowing a boat with a constant velocity ' $V_{0}$ ' in a river the contact area of the boat is 'A' and coefficient of viscosity in $η$ . The depth of the river is D. Find the force required to row the boat

$F - F_{T} = m a_{r e s}$
As boat moves with constant velocity $a_{r e s} = 0$
$F = F_{T}$
But $F_{T} = η A \frac{d v}{d z}, b u t \frac{d v}{d z} = \frac{V_{0} - 0}{D} = \frac{V_{0}}{D}$
then $F = F_{1} = \frac{η A v_{0}}{D}$