Answer:
hydrostatic force is 327000.00 N
Explanation:
given data
base = 4 m
height = 5 m
density of water = 1000 kg/m3
to find out
hydrostatic force
solution
we know this is a triangle so we consider here a small strip PQ whoes area da in with length x and width dy
so area will be
da = base/H × height = base/H × y
so da = x dy = base/H × y dy
and we know pressure = ρ × g × h
here h = y
hydrostatic force = pressure × area
df = (ρ × g × h) × base/H × y dy
now integrate it from 0 to 5 height
f = ρ × g
f = ρ × g
f = ρ × g × 4/5 ×
now put value ρ = 1000 and g = 9.81
f = ρ × g × 4/5 ×
f = 1000 × 9.81 × 4/5 × (5³/3)
force = 7848 × 41.666667
force = 327000.00 N
hydrostatic force is 327000.00 N