Question

you can fill a bucket from a downstairs tap quicker than from an upstairs

Answer 1

You can do this because it takes more pressure from the pipe to flow water to the upstairs tap than the amount of pressure it takes to flow water to the downstairs tap. This is clear in Bernoulli's Equation:

The fancy-looking p (pronounced rho) in the first two terms represents the

density of the liquid, v represents the velocity in which the fluid is traveling, g is the acceleration due to gravity (appx. 9.8m/s^2), and z is the difference in height traveled by the fluid, the final P represents the atmospheric pressure (101.3 kPa). As you can see, as the value of variable z decreases, it allows for the only other variable, v, to increase. This explains why, at a higher elevation and a constant force applied to the fluid, water will flow faster at a lower height than a higher point.

Answer 2

answer is downstairs because rate of folowing water is more than downstairs compared to upstairs