Problem 5.4 Using the data obtained with the help of a current meter having constants a=0.05 and b=2.3 as given in Table 5.11 below, determine the cross-sectional area, discharge, mean velocity and average depth for the entire stream. Table 5.11: Current Meter Observations Distance from the bank (m) 0.90 1.50 Depth of Stream (m) 0.30 0.90 Meter Depth(m) Revolution Time (sec) 0.20 0.75 0.20 1.10 0.27 1.50 15 25 40 42 45 43 48 48 44 42 30 2.10 1.40 40 50 2.75 1.90 60 0.40 1.20 50 3.70 1.50 35 25 20 0.30 40 4.60 0.45 0.30 35 5.20

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Unit Conversion

Standard units are also called SI units. SI units are used for measuring a physical quantity satisfying certain conditions. There are two types of units: fundamental units and derived units. Fundamental units are physical quantities that are independent, that is, they do not depend on other quantities like mass, length, or time. There are plenty of quantities in our lives which need to be measured and compared. Measuring is the comparison of a particular physical quantity with its reference value. A unit is a measure of a fixed physical quantity. A physical quantity is the product of a unit and the numerical value we need to compare with.