Pressure drop across the pipe

Question

Problem:

Water is flowing in a 12 inch pipe inclined downward on a slope of 10%. The discharge is 1000 gpm and piezometers located 30 ft apart measure a difference in piezometric head of 0.1 ft.

Required:

Question 1: What is the pressure drop across the pipe?

Question 2: What is the shear stress exerted on the pipe boundary?

Question 3: What is the shear velocity?

Question 4: What is the darcy friction factor?

Note: Show all workings.