please help me with my homework. Explain and show how to arrive at solution. Question 1, 2 and 3 please :(

1. To find dimensionless groups that describe flow through a cylindrical tube using Dimensional Analysis. The pressure drop AP (ML T*?) across a cylindrical tube depends on the following variables: Fluid density p (ML) Fluid viscosity p (ML T Tube diameter D (L) Tube roughness k (L) Tube length L (L) Fluid average velocity (LT) To find a dimensionless group involving AP depends on a dimensionless group involving and perhaps other dimensionless groups. a) How many dimensionless groups can be formed from this set of variables? b) Select an appropriate set of core variables for this problem ) Find the dimensionless group involving AP, 2. Spin plays an important role in the flight trajectory of golf, Ping-Pong, and tennis balls. Therefore, it is important to know the rate at which spin decreases for a ball in flight. The aerodynamic torque, T, acting on a ball in flight, is thought to depend on flight speed, V, air density, p, air viscosity, p, ball diameter, D, spin rate (angular speed), , and diameter of the dimples on the ball, d. Determine the dimensionless parameters that result. 3. The fluid velocity (v) of a flow-measuring nozzle is presumed to be a function of the pipe diameter (d), fluid density (p), nozzle diameter (a), fluid viscosity (i), and pressure drop (Ap). Find an appropriate set of dimensionless parameters that describe this system using the Buckingham Pi method