A plate has an area of 1m square. It slide down an incline plane , having an angle of inclined 60° to horizontal, which a velocity of 0.75m/s. The thickness of oil film between the plate and the plate is 2mm. Find the viscosity of the fluid if the weight of the plate is 90N

Respuesta :

Answer:

[tex]\mu =0.169704 Ns/m^2[/tex]

Explanation:

From the question we are told that

Area of plate[tex]a=1m^2[/tex]

Angle of inclination [tex]\theta=60 \textdegree[/tex]

Velocity [tex]v=0.75m/s[/tex]

Thickness of oil [tex]t=2mm[/tex]

Weight of plate [tex]w=90N[/tex]

Generally the equation for shear force is mathematically given by

[tex]F=mgsin45 \textdegree[/tex]

[tex]F=90sin45 \textdegree[/tex]

[tex]F=63.639N[/tex]

[tex]F=\mu* \frac{v}{t}[/tex]

[tex]F=\mu* \frac{0.75}{2*10^-^3}[/tex]

[tex]\mu* \frac{0.75}{2*10^-^3}=63.639N[/tex]

[tex]\mu =\frac{63.639}{375}[/tex]

Therefore viscosity is given by

[tex]\mu =0.169704 Ns/m^2[/tex]