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Measurement

                         Exercise 2.3                 Table 2.8: Derived physical quantities and
                                                                their SI units
             1.  Imagine you want to fi nd out how
                long a piece of wire is. While doing   Physical     SI unit        Unit
                this, you come across two terms:       quantity                    symbol
                estimated length and measured          Area         Square metre   m 2
                length. How do these terms differ?
             2.  Why do we need to measure things?     Volume       Cubic metre    m 3
             3.  Outline fi ve (5) different items found   Weight    Newton
                in your environment that can be                                     N
                measured in terms of:                  Density      kilogram per   kg/m 3
                (a)  Length      (b)  mass                          cubic metre
             4.  A Form One student was asked          Pressure     newton per      N/m 2
                to measure time for conducting a                    square metre
                science experiment.  What items
                could the student use to accurately   These quantities are calculated using
                measure time?                         certain formulae or they are determined
             5.  Suppose a teacher asks you to        experimentally. For example, Area (A) of a
                                                                                             2
                determine the mass of water in a      square = length (l) × length (l) = l × l = l .
                measuring cylinder. How would you     The SI unit of area is the square metre, m .
                                                                                             2
                do it using a digital balance?        However, areas of other regular shapes are
             6.  Imagine you are using a digital      calculated using their respective formulae
                balance to measure the mass of a      depending on the shape of the object.
                metallic ball. What is the unit of the
                reading on the electronic balance?    Measurement of volume
                                                      Volume is the quantity of space that an
           Derived quanti ti es                       object occupies. The SI unit of volume is
                                                                     3
           Derived  quantities  are  obtained  by     cubic metre (m ). One cubic metre is the
                                                      volume of a cube with sides  that are one
           combining the fundamental quantities       metre long. Other units of volume include:
           through the application of basic arithmetic   (a) cubic centimetre (cm );
                                                                               3
           operations, namely multiplication and/or
           division. Their units are called derived units   (b) millilitre (ml); and
           and the same method is used in deriving      (c) litre (l).
           them. Examples of derived quantities
           are area, volume, density, velocity and    Relative to everyday school laboratory
           acceleration. Their respective derived     works, a cubic metre is rather a large unit of
                                                 2
                        2
           SI units are m ,m ,k /m , m/g  3  s   and m/s .  volume. Therefore, convenience purposes,
                            3
           Table 2.8 shows some derived quantities    volumes are measured using the cubic
                                                                     3
           and their corresponding SI unit.           centimetre (cm ). One cubic centimetre is
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