Question

A hydraulic engineer is studying the pressure in a particular fluid. The pressure is equal to the atmospheric pressure 101 kN/m plus 8 kN/m for every meter below the surface, where kN/m is kilonewtons per meter, a unit of pressure. CAREERS IN MATH a. Write an expression for the pressure at a depth of d1 meters below the liquid surface. b. Write and solve an equation to find the depth at which the pressure

Answer 1

Answer:

Step-by-step explanation:

The pressure is equal to the atmospheric pressure 101 kN/m plus 8 kN/m for every meter below the surface, therefore;

a. expression for pressure is given by,

    $Pressure = 101 + 8d$   ............................... (1)

    where d = depth below the surface in meter.

b. to find the depth at any pressure, equation (1) above is rearranged to make depth (d) subject of the formula

    $d = \frac{Pressure - 101}{8}$

as an example, to find depth at pressure of 200N/m

d = (200 - 101)/8 = 12.375 meters

depth is 12.375 meters below the surface.