Question

In the widest part of the horizontal pipe, oil is flowing at a rate of 2 m/sec. The speed (in m/s) of the flow of oil in the narrow part of the tube if the pressure difference in the broad and narrow parts of the pipe is 0.25 ρ_oilg, is ______ m/s.

Options

• 1.00

• 2.00

• 3.00

• 4.00

Answer 1

In the widest part of the horizontal pipe, oil is flowing at a rate of 2 m/sec. The speed (in m/s) of the flow of oil in the narrow part of the tube if the pressure difference in the broad and narrow parts of the pipe is 0.25 ρ_oilg, is 3.00 m/s.

Explanation:

`(Deltarho)/(rhog) = (u^2 - 4)/(2g)`

`250 xx 10^-3 xx 10 = (u^2 - 4)/2`

⇒ u² - 4 = 5

u² = 9

u = 3 m/s