He drag characteristics of a torpedo are to be studied in a water tunnel using a 1 : 7 scale model. the tunnel operates with freshwater at 20 ˚c, whereas the prototype torpedo is to be used in seawater at 15.6 ˚c. to correctly simulate the behavior of the prototype moving with a velocity of 53 m/s, what velocity is required in the water tunnel?

20.03 m/s

Explanation:

Given

velocity of Prototype

Taking Froude number same for both flow as it is a dimensionless number for different flow regimes in open Flow

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 .