55 798
Assignments Done
97,2%
Successfully Done
In December 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Differential Equations Question for joe

Question #8553
1. The table below gives the depth of water across a river measured at one metre
intervals between banks.
Distance (m) 0 1 2 3 4
Water depth (m) 0.4 0.5 1.6 0.9 0
Use the Trapezium rule to estimate the cross-sectional area of the river.
A river hydrologist estimates that at the place where this cross sectional data was
measured the average speed of water flow is 0.8m/s. Estimate the volume of water
which passes this section of the river in one minute.
Expert's answer
1st trapezium points: (0,0), (1,0), (0,0.4), (1,0.5).
1st trapezium area: S1 = (1-0)*min{0.4,0.5} + (1-0)*(0.5-0.4)/2 = 0.45 m²

2nd trapezium points: (1,0), (2,0), (1,0.5), (2,1.6).
2nd trapezium area: S2 = (2-1)*min{0.5,1.6} + (2-1)*(1.6-0.5)/2 = 1.05 m²

3rd trapezium points: (2,0), (3,0), (2,1.6), (3,0.9).
3rd trapezium area: S3 = (3-2)*min{1.6,0.9} + (3-2)*(1.6-0.9)/2 = 1.25 m²

4th trapezium points: (3,0), (4,0), (3,0.9), (4,0).
4th trapezium area: S4 = (4-3)*min{0.9,0} + (4-3)*(0.9-0)/2 = 0.45 m²

Total area: S1+S2+S3+S4 = 0.45 + 1.05 + 1.25 + 0.45 = 3.2 m²

So, the volume of water passes this section of the river in one minute is approximately

V = 3.2m² * 0.8m/s = 2.56 m³/s.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question