The flow of a river can be measured by the discharge, Q, which is the amount of

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The flow of a river can be measured by the discharge, Q, which is the amount of water passing through a cross-section per second. Q can be calculated as Q =

∫ B 0

v(b)h(b)db, where h

(b) is the depth (in m) at point b across the river, v(b)

the flow velocity (in m/s) at that point, and B is the distance (in m) to the opposite bank.

Because there is no good function for the depth profile of a river, Q is estimated by taking readings of depth and flow rates at various points from bank to bank. The following table contains an example of such measurements.

Use numerical integration to estimate the discharge from the data in the table above. What are the units of Q?

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Related Book For  book-img-for-question

Mathematics And Statistics For Science

ISBN: 9783031053177

1st Edition

Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray

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