Water is flowing through a channel that is 12 m wide with a speed of 0.75 m s- 1 . The water then flows into four identical channels that have a width of 4.0 m each. The depth of the water does not change as it flows into the four channels. The speed of the water in one of the smaller channels is

Question

Water is flowing through a channel that is 12 m wide with a speed of 0.75 m s- 1 . The water then flows into four identical channels that have a width of 4.0 m each. The depth of the water does not change as it flows into the four channels. The speed of the water in one of the smaller channels is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-5q9kccyubsx8iek5.jpg" /> (A) 0.56 ms- 1 (B) 2.3 ms- 1 (C) 0.25 ms- 1 (D) 0.75 ms- 1

Tardigrade Admin · Accepted Answer

Av = A1v1 + A2v2 + A3v3 + A4v4 Av = 4(.A1v1.) 12 × 0.75 = 4 [.4 × v]. v= (3/4)× 0.75 = 0.75 × 0.75 v= text0.56 ms- 1

$0.56 m s^{- 1}$

$2.3 m s^{- 1}$

$0.25 m s^{- 1}$

$0.75 m s^{- 1}$

$A v = A_{1} v_{1} + A_{2} v_{2} + A_{3} v_{3} + A_{4} v_{4}$
$A v = 4 (A_{1} v_{1})$
$12 \times 0.75 = 4 [4 \times v]$
$v = \frac{3}{4} \times 0.75$
$= 0.75 \times 0.75$
$v = 0.56 m s^{- 1}$

Q. Water is flowing through a channel that is 12m wide with a speed of 0.75ms−1 . The water then flows into four identical channels that have a width of 4.0m each. The depth of the water does not change as it flows into the four channels. The speed of the water in one of the smaller channels is

0.56ms−1

2.3ms−1

0.25ms−1

0.75ms−1

Av=A1​v1​+A2​v2​+A3​v3​+A4​v4​ Av=4(A1​v1​) 12×0.75=4[4×v] v=43​×0.75 =0.75×0.75 v=0.56ms−1

$0.56 m s^{- 1}$

$2.3 m s^{- 1}$

$0.25 m s^{- 1}$

$0.75 m s^{- 1}$

$A v = A_{1} v_{1} + A_{2} v_{2} + A_{3} v_{3} + A_{4} v_{4}$
$A v = 4 (A_{1} v_{1})$
$12 \times 0.75 = 4 [4 \times v]$
$v = \frac{3}{4} \times 0.75$
$= 0.75 \times 0.75$
$v = 0.56 m s^{- 1}$