Water flows m a horizontal tube (see figure). The pressure of water changes by $700N{m}^{- 2}$ between $A$ and $B$ where the area of cross section are $40c{m}^{2}$ and $20c{m}^{2},$ respectively. Find the rate of flow of water through the tube. (density of water $= 1000kg{m}^{- 3}$ )

Question

Water flows m a horizontal tube (see figure). The pressure of water changes by

700N{m}^{- 2}

between

A

and

B

where the area of cross section are

40c{m}^{2}

and

20c{m}^{2},

respectively. Find the rate of flow of water through the tube. (density of water

= 1000kg{m}^{- 3}

)

Water flows m a horizontal tube (see figure). The pressure of water changes by 700N m ^ - 2 between A and B where the

Quantrex Academy · Accepted Answer

Correct answer: B. 2720c m ^ 3 / s

Using equation of continuity 40 V _ A = 20 V _ B ⇒ 2 V _ A = V _ B Using Bernoulli&rsquo;s equation P _ A + (1)/(2)ρ V _ A ^ 2 = P _ B + (1)/(2)ρ V _ B ^ 2 ⇒ P _ A - P _ B = (1)/(2)( V _ B ^ 2 - V _ A ^ 2 ) ⇒ = (1)/(2)1000( V _ B ^ 2 - V _ B ^ 2 4 ) ⇒ = 500 × 3 V _ B ^ 2 4 ⇒ V _ B = (( ) × 4)/(1500) = ((700) × 4)/(1500) (m)/(s) Volume flow rate = 20 × 100 × V _ B = 2732c m ^ 3 / s

Water flows m a horizontal tube (see figure). The pressure of water...

Options

Correct answer

Step-by-step solution

More from Mechanical Properties of Fluids