Question 3 110 points 30 m 80 mm Bots Bolts Galvanized iron

Question 3 (110 points) 3.0 m 80 mm Bots Bolts Galvanized iron 10 m 20 In all cases, neglect minor losses Water flows out of the large tank and through the pipe as shown. in the pipe but include major losses of f-0.02 for galvanized pipe.

Solution

First part: The frictional force in the pipe before the bolt is to be found,

the frictional force after the bolt is to be found

Net force on the bolt will be the difference of the two.

Given f = 0.02

pressure drop = f*l/d*V^2/(2g)

Velocity V at outlet of tank sqrt(2*g*H) = sqrt (2*9.81*3) = 7.67 m/s

pressure loss over l = 10 m is .02*(10/.08)* 3, head loss 7.5 m

This means the flow will completely stop here.

pressure loss over next 20 m, no need

The force on the bolt is the head to to stop of the flow = H = 9.81*3 metre of water= APPROX 29 METERES OF WATER HEAD