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cricket20 [7]
3 years ago
6

A thin flat plate of surface area, 500 cm², is located between two fixed plates such that the gap below the top plate is 20 mm a

nd the gap above the bottom plate is 30 mm. The gap between the fixed plates contain SAE 30 oil at 15.6°C. Determine the force needed to push the middle plate at a velocity of 1.0 m/s.
Engineering
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:0.3166N

Explanation:

Given data

Area \left ( A\right )=500 cm^2

Gap below top plate\left ( y_1\right )=20 mm

Gap above bottom plate\left ( y_2\right )=30 mm

SAE 30 oil viscosity =0.38 N-s/m^2

Velocity of middle plate\left ( v\right )=1 m/s

There will viscous force on middle plate i.e. at above surface and below surface

Viscous force\left ( F\right )=\mu \frac{Av}{y}

Net Force on plate F =\mu Av\left [\frac{1}{y_1} +\frac{1}{y_2}\right ]

F=0.38\times 500\times 10^{-4}\left [\frac{1}{20\times 10^{-3}} +\frac{1}{30\times 10^{-3}}\right ]

F=31.66\times 10^{-2}=0.3166 N

this is force by oil on plate thus we need to apply atleast 0.3166N to move plate

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