Question

A toy rocket consists of a plastic bottle which is partially filled with water. The accelerating force F acting on the rocket is given by the equation F = πr2v 2 - mg, where m is the mass of the rocket and its contents  is the density of the water r is the radius of the nozzle through which the water is forced v is the speed at which the water is forced through the nozzle g is the acceleration due to gravity. Use dimensional analysis to show that the equation is homogeneous.

Answer 1

Answer:

A water rocket is a type of model rocket using water as its reaction mass. The water is forced out by a pressurized gas, typically compressed air. Like all rocket engines, it operates on the principle of Newton's third law of motion. Water rocket hobbyists typically use one or more plastic soft drink bottle as the rocket's pressure vessel. A variety of designs are possible including multi-stage rockets. Water rockets are also custom-built from composite materials to achieve world record altitudes.