Question

Water flows through a horizontal pipe of radius 1 cm at a speed of 2 s^-1, what should be the diameter of its nozzle if the water is to come out at a speed of 10 m/s?

Answer 1

Answer:

the diameter of its nozzle if the water is to come out at a speed of 10 m/s water flows through a horizontal pipe of radius 1 cm at a speed of should be the diameter.

Answer 2

Dear Student,

◆ Answer -

Diameter of nozzle = 0.8954 cm

● Explanation -

# Given -

r1 = 1 cm

v1 = 2 m/s

r2 = ?

v2 = 10 m/s

# Solution -

According to equation of continuity,

A1 × v1 = A2 × v2

πr1^2 × v1 = πr2^2 × v2

r1^2 × v1 = r2^2 × v2

r2^2 = v1/v2 × r1^2

r2 = r1 √(v1/v2)

r2 = 1 √(2/10)

r2 = 1/√5

r2 = 0.4472 cm

Diameter of nozzle is -

d = 2 × r2

d = 2 × 0.4472

d = 0.8954 cm

Thanks dear. Hope this helps you...