Comprehension Check 7-10A boat is traveling at 20 knots. Convert this speed to units of meters per second [m/s]. Conversion factor: 1 knot = 1 nautical mile per hour; 1 nautical mile = 6076 feet [ft].7.6 Derived Dimensions and UnitsLearning Objectives1.Identify a quantity as a fundamental or derived dimension and express the fundamental dimensions of the quantity using fractional or exponential notation2.Given the units of a quantity, determine the fundamental dimensions3.Given the fundamental dimensions of a quantity, determine the base SI unitsWith only the seven base dimensions in the metric system, all measurable things in the known universe can be expressed by various combinations of these concepts, called derived dimensions. As simple examples, area is length squared, volume is length cubed, and velocity is length divided by time.As we explore more complex parameters, the dimensions become more complex. For example, the concept of force is derived from Newton’s second law, which states that force is equal to mass times acceleration. Force is then used to define more complex dimensions such as pressure,which is force acting over an area, or work, which is force acting over a distance. As we introduce new concepts in later chapters, we introduce the dimensions and units for each parameter.Sometimes, the derived dimensions become quite complicated. For example, electrical resistanceis mass times length squared divided by both time cubed and current squared. Particularly in the more complicated cases like this, a derived unitis defined to avoid having to say things like “The resistance is 15 kilogram-meter squared divided by second cubed ampere squared.” It is much easier to say “The resistance is 15 ohms,” where the derived unit “ohm” equals one (kgm2)/(s3A2).Within this text, dimensions are presented in exponential notation rather than fractional notation for written clarity.