Answer:
47.10 m/s
Explanation:
Diameter of the horizontal pipe, d = 7 cm = 0.07 m
Area of the horizontal pipe, A =
or
A = = 0.00384 m²
Head between the water surface and the pipe level, z = 4 m
Head added by the pump, hp = 8 - 200Q²
where, Q is the discharge
losses, hL = 5 m
now,
applying the Bernoulli's theorem between the water surface and the pipe outlet,
we have
where,
P₁ = pressure at the water surface = 0 (as atmospheric pressure only)
V₁ = Velocity at the free surface = 0
ρ is the density of the water
P₂ = pressure at the outlet = 0 (as atmospheric pressure only)
V₂ = Velocity at the outlet
on substituting the values, we get
or
or
also,
Q = A × V₂
thus,
or
V₂ = 47.10 m/s