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

Explanation:

From the question we are told that

Area of plate

Angle of inclination

Velocity

Thickness of oil

Weight of plate

Generally the equation for shear force is mathematically given by

Therefore viscosity is given by

connect the batteries in series and hope

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .