7-35 A pump is used to fill a tank 5 m in diameter from a river as shown. The water surface in the river is 2 m below the bottom of the tank. The pipe diameter is 5 cm, and the head loss in the pipe is given by h₁ = 10 V²/2g, where Vis the mean velocity in the pipe. The flow in the pipe is turbulent, so a = 1. The head provided by the pump varies with discharge through the pump as hp = 20 – (4 × 104)Q², where the discharge is given in cubic meters per second (m³/s) and hp is in meters. How long will it take to fill the tank to a depth of 10 m? 5 m Pump 5 cm 2 m River

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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.