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## Measuring Instruments

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### Measuring Instruments Ruler 1 A ruler is used to measure lengths from a few cm up to 1 m. A metre rule has an accuracy of 0.1 cm (i.e. 1 mm). 1.5 ANALYSING SCIENTIFIC ... – PowerPoint PPT presentation

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Title: Measuring Instruments

1
Measuring Instruments
• Ruler
• 1 A ruler is used to measure lengths from a few
cm up to 1 m. A metre rule has an accuracy of 0.1
cm (i.e. 1 mm).

2
Measuring Instruments
• Ruler
• 2 Precautions to be taken when using a ruler
• (a) Ensure that the object is in contact with the
• (b) Avoid parallax errors.

3
Measuring Instruments
• Ruler
• Parallax errors in measurement arise as a result
of taking a reading, with the eye of the observer
in the wrong position with respect to the scale
of the ruler. Figure 1.7 shows the correct
position of the eye when reading the scale.

Error 0.1 cm
Error 0.1 cm
4
Measuring Instruments
• Ruler
• (c) Avoid zero and end errors.
• The ends of a ruler, which may be worn out, are a
source of errors in measurement. Thus it is
advisable to use the division mark 1' of the
scale as the zero point when taking a measurement.

5
Measuring Instruments
• Ruler
• (c) Length of the block, l 3.2cm-1.0cm 2.2 cm

6
Measuring Instruments
Vernier Caliper
• 1 Lengths smaller than 1 mm can be measured with
the help of an instrument called a vernier
caliper.

7
Measuring Instruments
• Vernier Caliper
•  2 A vernier caliper is used to measure an
object with dimensions up to 12 cm with an
accuracy of 0.01 cm.

8
Measuring Instruments
• Vernier Caliper
•  3 There are two pairs of jaws, one is designed
to measure linear dimensions and external
diameters while the other is to measure internal
diameters.

9
Measuring Instruments
• Vernier Caliper
• 4. To measure with a vernier caliper, slide the
vernier scale along the main scale until the
object is held firmly between the jaws of the
caliper. The subsequent steps are as follows.

10
Measuring Instruments
• Vernier Caliper
• (a)The reading on the main scale is determined
with reference to the 0' mark on the vernier
scale. The reading to be taken on the main scale
is the mark preceding the Figure 1.10 shows that
the '0' mark on the vernier scale lies between
3.2 cm and 3.3 cm. The reading to be taken on the
main scale is 3.2 cm (the 0' mark on the vernier
scale acts as a pointer).

1
11
Measuring Instruments
• Vernier Caliper
• (b) The reading to be taken on the vernier scale
is indicated by the mark on the vernier scale
which is exactly in line or coincides with any
main scale division line. Figure 1.10 shows that
the fourth mark on the vernier scale is exactly
in line with a mark on the main scale. Thus the
second decimal reading of the measurement is
• Vernier scale reading 4 x 0.01 cm
• 0.04 cm

2
12
Measuring Instruments
0.04
• Vernier Caliper
•
• (c) The reading of the vernier caliper is the
scale to the reading on the vernier scale.

3.2
13
Measuring Instruments
0.04
• Vernier Caliper
•
• (c) The reading of the vernier caliper is the
scale to the reading on the vernier scale.
• Thus the reading of the vernier caliper in Figure
1.10 is
• 3.2 0.04 3.24 cm

3.2
14
Measuring Instruments
• Vernier Caliper
• 5. A vernier caliper has a zero error if the 0'
mark on the main scale is not in line with the
'0' mark on the vernier scale when the jaws of
the caliper are fully closed

15
Measuring Instruments
• Vernier Caliper
•   (a) Positive zero error
• Zero error 0.04 cm.
•

16
Measuring Instruments
0.02cm
0.70 cm
0.72 cm
17
Measuring Instruments
• Vernier Caliper
• (b) Negative zero error
• Zero error -0.02 cm.

18
Measuring Instruments
• Micrometer Screw Gauge
•
• 1 A micrometer screw gauge is used to measure
small lengths ranging between 0.10 mm and 25.00
mm.

19
Measuring Instruments
• Micrometer Screw Gauge
•  2 This instrument can be used to measure
diameters of wires and thicknesses of steel
plates to an accuracy of 0.01 mm.
•

20
Measuring Instruments
• Micrometer Screw Gauge
•
• 3 The micrometer scale comprises a main scale
marked on the sleeve and a scale marked on the
thimble called the thimble scale.

21
Measuring Instruments
• Micrometer Screw Gauge
•  4 The difference between one division on the
upper scale and one division on the lower scale
is 0.5 mm.
•

22
Measuring Instruments
• Micrometer Screw Gauge
• 5 The thimble scale is subdivided into 50 equal
divisions. When the thimble is rotated through
one complete turn, i.e. 360?, the gap between the
anvil and the spindle increases by 0.50 mm.
•

23
Measuring Instruments
• Micrometer Screw Gauge
• 6 This means that one division on the thimble
scale is 0.01 mm.

24
Measuring Instruments
• Micrometer Screw Gauge
• 7 When taking a reading, the thimble is turned
until the object is gripped very gently between
the anvil and the spindle.

25
Measuring Instruments
• Micrometer Screw Gauge
•
• 8 The ratchet knob is then turned until a
click' sound is heard.
•

26
Measuring Instruments
• Micrometer Screw Gauge
• 9 The ratchet knob is used to prevent the user
from exerting undue pressure.
•

27
Measuring Instruments
• Micrometer Screw Gauge
• 10 The grip on the object must not be excessive
as this will affect the accuracy of the reading.
•

28
Measuring Instruments
• Micrometer Screw Gauge
• 11 Readings on the micrometer are taken as
follows.
• (a) The last graduation showing on the main scale
indicates position between 2.0 mm and 2.5 mm.
mm.

29
Measuring Instruments
• Micrometer Screw Gauge
• 11 Readings on the micrometer are taken as
follows.
• (b) The reading of the micrometer screw gauge is
the sun of the main scale reading and the thimble
• 2.0 0.22 2.22 mm

30
Measuring Instruments
• Micrometer Screw Gauge
•
• 11 Readings on the micrometer are taken as
follows.
• (b) The reading on the thimble scale is the point
where the horizontal reference line of the main
scale is in line with the graduation mark on the
thimble scale Figure 1.15(b) shows this to be the
22nd mark on the thimble scale, thus giving a
reading of 22 x 0.01 mm 0.22 mm.
•

31
Measuring Instruments
• Micrometer Screw Gauge
• 12 Readings on the micrometer are taken as
follows.
• (a) Positive zero error
• In Figure 1.16, the horizontal reference line in
the main scale is in line with the 4th division
mark, on the positive side of the 0' mark, on
the thimble scale. The error of 0.04 mm must be
• Zero error 0.04 mm
•

32
Measuring Instruments
• Micrometer Screw Gauge
•
• 13(b) Negative zero error
• In Figure 1.17, the horizontal reference line on
the main scale is in line with the 3rd division
mark, below the 0' mark of the thimble scale.
•
• Zero error -0.03 mm
•

33
Chapter 1
• 1.5 ANALYSING SCIENTIFIC INVESTIGATION

34
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• 1. The investigative procedure begins with the
following steps
•
• Making an inference
• To interpret or explain what is being observed.
It is also an early conclusion based on
observation.

35
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Determining the variables
• A variable is a physical quantity which
varies/changes during the course of a scientific
investigation.

36
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• In a scientific investigation, there are 3
different types of variables, namely
• (a) Manipulated variable
• It is a physical quantity which is fixed in an
experiment.
• (b) Responding variable
• It is a physical quantity which depends on the
independent variable.
• (c) Constant variable
• It is a physical quantity which is fixed while
an experiment is being carried out.
•

37
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Making a hypothesis
• It is a clarification/explanation regarding the
relationship between the manipulated variable and
the responding variable when all other variables
are kept constant.
•
• A hypothesis must be proven correct after an
experiment is carried out.

38
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Controlling the variable
• The experiment must be conducted in an
appropriate place so as not to influence the
variables.

39
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Planning the investigative procedure/method
• Covers the choice and arrangement of the
apparatus together with the work procedure being
followed/ conducted.

40
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Collecting data in tabular form
• Data in the same strips (i.e., rows and columns)
must have the same units and the same number of
decimal places (ie., data must be consistent).
•
• For example

41
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• 1. The investigative procedure begins with the
following steps
•
• Collecting data in tabular form
• For example

42
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Interpreting the data
• It is a result/decision that is made by way of
the experiment.

43
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Making a conclusion
• It is a record that is made regarding an
information that is being studied based on the
aim of the experiment.
• The conclusion which is made is based on the
shape of the graph that is plotted and also on
the value(s) of the quantities obtained through
calculation using a formula.

44
1.5 ANALYSING SCIENTIFIC INVESTIGATION
•  Making a complete report of an experiment
• A complete report of an experiment must cover all
the following aspects
• Problem statement
• Inference
• Hypothesis
• Aim of experiment
• Variables of the experiment
• Arrangement of apparatus/Materials used

45
1.5 ANALYSING SCIENTIFIC INVESTIGATION
•  Making a complete report of an experiment
• Experimental procedure - including the method
for controlling the manipulated and responding
variables.
• Tabulating data
• Analyzing data
• Making a conclusion
• Data tabulation
• Data analysis

46
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• To Study The Relationship Between The Length Of A
Pendulum And The Period Of Oscillation of The
Pendulum
•
• Problem Statement
• How can the period of oscillation of a pendulum
be determined?
•

47
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• To Study The Relationship Between The Length Of A
Pendulum And The Period Of Oscillation of The
Pendulum
•
• Hypothesis
• As the length of the pendulum increases, its
period of oscillation increases.
•

48
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Variables
• (a) Manipulated Length of pendulum
• (b) Responding Period of oscillation
• (c) Constant Amplitude of oscillation, mass of
pendulum bob (or weight) and acceleration due to
gravity.

49
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• Apparatus/Materials Used
• Pendulum bob, a 100cm length of thread, metre
rule, 2 small pieces of wood, retort stand and a
stop-watch.
•

50
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• To Study The Relationship Between The Length Of A
Pendulum And The Period Of Oscillation of The
Pendulum
• Procedure

51
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• To Study The Relationship Between The Length Of A
Pendulum And The Period Of Oscillation of The
Pendulum
•
• Procedure
• 1. A 50.0g pendulum bob is tied to one end of a
• 2. By using a retort stand and two small pieces
of wood, the other end of the thread is clamped
as shown in Diagram 1.19.
• 3. The length, l of the pendulum is measured
from the end below the small piece of wood to the
centre of the bob. (i.e., l 20cm)
• 4. The pendulum is made to oscillate in a plane
and having a small amplitude of oscillation.
(i.e., approximately 10)

52
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Procedure
• 5. The time taken to complete 20 full
oscillations is recorded with a stop-watch.
• 6. The time for 20 complete oscillations is
recorded once more.
• 7. The average time taken in the above two steps
is calculated, so too with the time taken.
• 8. The experimental procedure is repeated by
taking the length of the pendulum to be l 30cm,
40cm, 50cm, 60 cm and 70cm.
• 9. All readings obtained are recorded in a
table.
• 10. Then, a graph of T against l is plotted.

53
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Result
•
•

54
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Graph T against L

55
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Experiment 1.1
• Discussion
• Graph of period, T against length, L shows a
curve with positive gradient. Thus, as L
increases, T also increases. Hence, the
hypothesis is accepted.

56
1.5 ANALYSING SCIENTIFIC INVESTIGATION
• Conclusion
• The longer is the length of the pendulum, the
longer is the period of its oscillation.