1.

A metal plate 5 cm xx 5 cm rests on a layer of castor oil 1 mm thick whose coefficient of viscosity is 1.55 Nsm^(-2) . Find the horizontal foce required to move the plate with a speed of 2 cm/s

Answer»

Solution :`"" ` Area = ` A = 25 cm ^(2)= 25 XX 10 ^(-4)m^(2)`
`"" ` THICKNESS = ` dx = 1 mm = 10^(-3)m `
COEFFICIENT of velocity ` = eta = 1.55 Ns m^(-2)`
` "" ` Force= ?
` "" dv = 2 xx 10 ^(-2)m//s`
` "" F = eta( ADV)/( dx)`
` "" = 1.55 xx 25 xx 10 ^(-4) xx ( 2xx10 ^(-2))/( 1 xx 10 ^(-3))`
` = 0.0775 ` N


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