QUESTION THREE
Crude oil at 20°C (u = 8 100 kg/ms) fills the space between two concentric cylinders 300
mm high and with diameters of 100 mm and 160 mm. What torque is required to rotate
the inner cylinder at 12 rev/min with the outer cylinder remaining stationary? [12 mks]
cylinder
crude oil
cylinder
79 mm
go ma
50mm
75 mm

probably not if net force is zero

increase masses, decrease separation

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 .