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1.1.1Motion, Forces and Energy

Measurement — Cambridge IGCSE Co-ordinated Sciences 0654 - Physics Revision Notes & Topical Questions

5 min read 9 parts Lesson 2 of 36

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Part 1 of 7Measuring length

Ruler
  • Ruler it measures small distances of a few centimetres to the nearest millimetre, in cm or mm
Tape measure
  • Tape measure it measures lengths of tens of centimetres and more
Reading a scale
  • Reading a scale look straight at the mark to avoid parallax error
Extended instruments
  • Extended instruments vernier calipers read to 0.1 mm and a micrometer screw gauge reads to 0.01 mm
  • They suit small objects such as the diameter of a wire.

Part 2 of 7Measuring volume

Measuring cylinder
  • Measuring cylinder it measures the volume of a liquid in cm³ (1 cm³ = 1 mL)
Reading
  • Reading read the bottom of the meniscus with the eye level with the liquid
Irregular solid
  • Irregular solid put it in water and find the change in volume reading
Regular solid
  • Regular solid calculate the volume from its dimensions, for example length × width × height for a cuboid

Part 3 of 7Measuring time

Clocks
  • Clocks they usually measure long time intervals
Digital timers
  • Digital timers stopwatches measure short time intervals
Reaction time
  • Reaction time an alert person has a human reaction time of about 0.2 to 0.3 s
Effect
  • Effect reaction time matters most when the time measured is very short

Part 4 of 7Multiple readings

Purpose
  • Purpose taking multiple readings reduces the effect of measurement errors and improves precision
Small measurements
  • Small measurements if the measurement is small, the percentage uncertainty is large
Thin objects
  • Thin objects measure many identical items and divide
  • The thickness of 100 sheets of paper divided by 100 gives the thickness of one sheet.
  • The total length of four ball bearings divided by four gives the diameter of one.
Oscillations
  • Oscillations time many swings and divide
  • Timing 10 oscillations and dividing by 10 reduces the reaction-time error for the time of one oscillation.
Reference marker
Reference marker a line or dot at the equilibrium position that makes it easier to see when the pendulum passes,
  • reducing the starting and stopping error

Part 5 of 7Time interval from a stopwatch

1
Read the start and finish times from the stopwatch display in minutes, seconds and hundredths.
2
Convert both readings to seconds.
3
Subtract the start time from the finish time.
4
Give the answer in seconds.

Part 6 of 7Prefixes and units

SI units
  • SI units the metre for length, the kilogram for mass, the second for time and the kelvin for temperature
Large prefixes
  • Large prefixes kilo (k) = 10³, mega (M) = 10⁶, giga (G) = 10⁹
Small prefixes
  • Small prefixes centi (c) = 10⁻², milli (m) = 10⁻³, micro (µ) = 10⁻⁶, nano (n) = 10⁻⁹
Conversion
  • 2.5 km = 2500 m and 340 ms = 0.34 s

Part 7 of 7More from the specification

More from the specification
Scalars and vectors
  • Scalars and vectors scalars have only magnitude, vectors have magnitude and direction.
Vector examples
  • Vector examples displacement, velocity, force and acceleration are vectors; mass, speed and time are scalars.
Resultant
  • Resultant the single vector with the same effect as several, found by scale drawing or Pythagoras.
Measurement quantity
  • Measurement quantity every quantity is a numerical value with a unit, and readings should be taken carefully.
Force vectors
  • Force vectors force direction matters, so forces in opposite directions subtract.
Vector diagram
  • Arrow diagram of vectors.
Vector
  • Quantity with magnitude and direction.
Scalar
  • Quantity with magnitude only.
Resultant
  • Vector sum of two or more vectors.
Force
  • A push or pull measured in newtons.
Displacement
  • Change in position.
Velocity
  • Rate of change of displacement.
Component
  • Part of a vector along one axis.
Resultant vector
  • Single vector equivalent to a combination of vectors.

Key terms

TermMeaning
MeniscusCurved surface of a liquid in a measuring cylinder.
Reaction timeDelay of about 0.2 to 0.3 s in starting and stopping a timer by hand.
OscillationOne complete swing of a pendulum.
Parallax errorError from reading a scale from the wrong angle.
Reference markerMark at the equilibrium position of an oscillation.
SI unitStandard internationally agreed unit.

Avoid these mistakes

1
Measuring one thin sheet or one swing directly — measure many and divide.
2
Reading a scale at an angle — parallax error makes the reading wrong.
3
Reading the top of the meniscus — read the bottom of the curve.
4
Forgetting the unit or not converting it — write the unit and convert to SI before substituting.

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