The formula for calculating water wheel velocity is V = (π x D x RPM)/60, where V is the velocity in meters per second, D is the diameter of the water wheel in meters, and RPM is the revolutions per minute of the water wheel.
The mass flowrate of a water wheel can be calculated using the formula m = ρ x V x A, where m is the mass flowrate in kilograms per second, ρ is the density of water in kilograms per cubic meter, V is the velocity of the water in meters per second, and A is the cross-sectional area of the water wheel in square meters.
Yes, both the velocity and mass flowrate of a water wheel can be calculated simultaneously by using the formula m = ρ x V x A and V = (π x D x RPM)/60 together. This will give you the mass flowrate and velocity at the same time.
The diameter of the water wheel directly affects its velocity. The larger the diameter, the faster the velocity will be, assuming all other factors such as RPM and mass flowrate remain constant. This is because a larger diameter means a larger circumference, resulting in a longer distance traveled per revolution and therefore a higher velocity.
There are several factors that can cause variations in the RPM of a water wheel, such as changes in the water flow rate, changes in the load on the water wheel, and changes in the efficiency of the water wheel. Additionally, external factors such as weather conditions and obstructions in the water flow can also affect the RPM of a water wheel.