Water is flowing through a pipe that slowly gets smaller as it rises to the bathroom on your second floor (10 m high). the pipe coming into your house is 3 cm in diameter, the pressure there is 3x105 pa, and the water is moving at .8 m/s. the diameter of the pipe in the upstairs bathroom is 1.5 cm. how fast is the water moving right before it leaves the pipe in the bathroom?

velocity at the out let is equal to 3.18 m/s

Explanation:

height of the second floor = 10 m

pipe diameter(d₁) = 3 cm = 0.03 m

pressure (P₁) = 3 x 10⁵ Pa

diameter at the upstairs (d₂) = 1.5 cm = 0.015 m

A₁ =

A₁ =

A₁ = 7 × 10⁻⁴ m²

A₂ =

A₂ =

A₂ = 1.76× 10⁻⁴ m²

using continuity equation

      A₁ v₁ = A₂ v₂

7 × 10⁻⁴ × 0.8 =  1.76× 10⁻⁴ × v₂

v₂ = 3.18 m/s

hence velocity at the out let is equal to 3.18 m/s

305.7

explanation:

density =m/v

density =917/3.00

density = 305.

approximately = 305.7

in four significant figures