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wlad13 [49]
3 years ago
15

Rearrange the formula to make “u” the subject. v - u ——— = t a

Engineering
1 answer:
solong [7]3 years ago
5 0

Answer:

u = v - a * t

Explanation:

   v - u

t = ------

       a

v  - u  =  a * t

v - a * t = u

therefore,  u = v - a * t

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Answer:

Q = 14.578 m³/s

Explanation:

Given

We use the Manning Equation as follows

Q = (1/n)*A*(∛R²)*(√S)

where

  • Q = volumetric water flow rate passing through the stretch of channel (m³/s for S.I.)
  • A = cross-sectional area of flow perpendicular to the flow direction, (m² for S.I.)
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  • R = hydraulic radius = A/P (m for S.I.) where :
  • A = cross-sectional area of flow as defined above,
  • P = wetted perimeter of cross-sectional flow area (m for S.I.)

we get A as follows

A = (B*h)/2

where

B = 5 m (the top width of the flowing channel)

h = (B/2)*(m) = (5 m/2)*(1/2) = 1.25 m   (the deep)

A = (5 m*1.25 m/2) = 3.125 m²

then we find P

P = 2*√((B/2)²+h²)   ⇒  P = 2*√((2.5 m)²+(1.25 m)²) = 5.59 m

⇒ R = A/P ⇒ R = 3.125 m²/5.59 m = 0.559 m

Substituting values into the Manning equation gives:

Q = (1/0.023)*(3.125 m²)*(∛(0.559 m)²)*(√0.025)

⇒ Q = 14.578 m³/s

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