The belt in figure moves at a steady velocity V and skims the top of a tank of oil of viscosity µ, as a shown. Assuming a linear velocity profile in the oil, What belt-drive power P, in watts, is required if the belt moves at 2.5 m/s over oil at 20°C, with L = 2m, b = 60 cm, and h = 3 cm? Take µ = 0.01 Pas.

Engineering

Physics

Mechanical Power

Viscosity and Terminal Velocity New

Question

The belt in figure moves at a steady velocity V and skims the top of a tank of oil of viscosity µ, as a shown. Assuming a linear velocity profile in the oil, What belt-drive power P, in watts, is required if the belt moves at 2.5 m/s over oil at 20°C, with L = 2m, b = 60 cm, and h = 3 cm? Take µ = 0.01 Pas.

2.5 W

$\frac{100}{3} W$

1 W

5 W

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$F = ημ \frac{Av}{h}$

${FV}_{V} = P = \frac{μ {Lbv}^{2}}{h}$

$= \frac{0 .01 \times 2 \times 0 .6 \times}{0 .03} \times \frac{25}{4} = 2 .5 W$