Measurement (Cambridge (CIE) IGCSE Physics): Revision Note

Exam code: 0625 & 0972

Measuring length & volume

  • When making measurements in physics, different instruments are used for different measurements

Measuring length

  • Rulers can be used to measure small distances of a few centimetres (cm)

    • They are able to measure to the nearest millimetre (mm)

Blue pencil with pink eraser placed above a 10 cm ruler, showing the pencil aligned from 0 to around 5 cm for measuring its length.

A ruler can measure lengths in cm or mm

  • A tape measure is used to measure lengths of tens of centimetres

Measuring volume

  • Measuring cylinders are used to measure the volume of liquids

    • By measuring the change in volume, a measuring cylinder can also be used to determine the volume of an irregular shape

 

Diagram of two measuring cylinders showing a water displacement method to find the volume of an irregular object, with example calculations.

Measuring cylinders can be used to determine the volume of a liquid or an irregular shaped solid

Measuring time

  • In physics, clocks and digital timers are usually used to measure time intervals

    • Clocks typically measure long time intervals

    • Digital timers, such as stopwatches, typically measure short time intervals

  • An important factor when measuring time intervals is human reaction time

    • The standard human reaction time for an alert person is typically around 0.2 to 0.3 s

    • This can have a significant impact upon measurements when the measurements involved are very short 

Worked Example

A stopwatch is used to measure the time taken for a runner to complete a lap of a 400 m track. 

The images below give the readings on the stopwatch at the start and the end of the lap.

Two yellow stopwatches display time in (minutes):(seconds):(one hundredths of a second). At the start of the lap, one stopwatch shows 0:55:10, and at the end of the lap, the other stopwatch shows 1:45:10.

Calculate how long it took the runner to complete the lap. Give your answer in seconds. 

[2]

Answer:

Step 1: Identify the start time for the lap

  • The stopwatch displays time in (minutes):(seconds):(one hundredths of a second)

  • The stopwatch was already at 0:55:10 when the runner started the lap

  • Start time =  55.10 seconds (s)

Step 2: Identify the finish time for the lap

  • The stopwatch reads 1:45:10 at the end of the lap

  • Finish time = 1 minute and 45.10 s

Step 3: Convert the finish time into seconds

1 minute = 60 seconds

finish time = 60 + 45.10

finish time = 105.10 s [1 mark]

Step 4: Calculate the total time taken to complete the lap

total time = finish time  start time

total time = 105.10  55.10

total time = 50 s [1 mark]

Examiner Tips and Tricks

You will sometimes find that information is given in the question that is not actually needed in the calculation. 

In this worked example, you were told that the track the runner is running on is 400 m. This had nothing to do with the calculation the question asked you to perform. 

This is a common method for making a question seem more difficult. Don't let it catch you out.

Multiple readings

  • In physics, multiple readings of measurements are often taken to reduce the impact of measurement errors

The left diagram shows how to find the thickness of one sheet of paper using a stack of paper and a ruler. The right diagram shows how to measure the time of one oscillation of a pendulum by measuring the time of ten oscillations and calculating the average.

Taking multiple measurements improves precision and reduces the impact of errors

  • The measurement of the thickness of a single sheet of paper is so small that it would be very difficult to get a precise measurement

    • However, measuring the thickness of 100 sheets of paper can be done much more precisely and reduces the uncertainty of the measurement

    • Dividing the answer by 100 then gives a precise figure for the average thickness of one sheet

  • Measuring the time period of a simple pendulum would incur a human reaction time error at the start of the measurement and at the end of the measurement

  • If the measurement is small, the percentage uncertainty in the measurement is large

  • Therefore, multiple readings can be taken to reduce the uncertainty of the measurement

    • The time taken for 10 oscillations of the pendulum can be measured

    • Dividing the answer by 10 gives a more precise figure for the average time taken for one oscillation

  • A reference marker can be used when measuring oscillations

    • A reference marker is a visual reference point such as a line or a dot

    • The marker is added to the point at which the measurement is taken, such as the equilibrium position of an oscillating pendulum

    • This makes it easier to see when the pendulum passes this point, reducing the error in starting and stopping the timer

Worked Example

The diagram shows four identical ball bearings placed between two blocks on a steel ruler. 

The first block lies between 1 cm and 4 cm on the steel ruler. The four ball bearings lie between 4 cm and 12 cm, and the second block lies between 12 cm and 15 cm on the steel ruler.

Calculate the diameter of one ball bearing.

[2]

Answer:

Step 1: Measure the length of all four ball bearings

  • The blocks mark the edges of the first and last ball bearings

  • The blocks make it easier to measure the length of all four ball bearings

total length = 12  4

total length = 8 cm [1 mark]

Step 2: Find the diameter by dividing the total length by the number of ball bearings

diameter = total lengthnumber of ball bearings

diameter =84

diameter = 2 cm [1 mark]

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Build on this topic

Leander Oates

Author: Leander Oates

Expertise: Development Editor

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.