Evaluating Experiments (Edexcel International A Level Physics)
Revision Note
Evaluating Experiments
The accuracy of an experiment can be increased by repeating measurements and using mean values
Methods seeking to reduce systematic errors result in increased accuracy
Sometimes, additional apparatus can be used to improve the experiment, by reducing errors
Some changes to the method could be:
Timing over multiple oscillations
Using a fiducial marker
Example: Oscillations
The time period of oscillations is commonly measured using a stopwatch
Reaction time is a common error when measuring time
Uncertainty in a measurement of periodic time can therefore be reduced by:
Measuring many oscillations to calculate the average time for one oscillation
Increasing the total time measured for multiple swings
It would be ideal to measure the time taken for the pendulum to complete 10 (or more) oscillations and divide this time by 10 to determine the time period of one oscillation
One complete oscillation of a pendulum
Worked Example
A student wants to measure the time period of a vertical mass on a spring system. The time is measured on a stopwatch between when the mass is pulled down till after one complete oscillation.
Discuss how the student could reduce the error in their measured time period.
Answer:
The student should make sure the amplitude of the oscillations is large so the time period is longer
This would reduce the effect of the human reaction time which causes a slight error when using a stopwatch
The student should measure the time period over 10 oscillations and divide the time by 10 for the time period of one oscillation
However, due to damping effects, the amplitude of all the oscillations, and therefore their time periods, will not be the same
This effect is reduced if there is a large amplitude for the first oscillations
The spring must not exceed its elastic limit at any point of the experiment
If the spring is stretched too much, it will not go back to its original un-stretched position therefore affecting the oscillations
The student must make sure the oscillations are all completing vertical
This effect will the time period if the mass is pulled down at a slight angle, or pushed one way or another during the experiment
Examples in Further Mechanics
A set square is a right-angled triangle plane used for drawing lines and determining whether two pieces of apparatus are perpendicular to teach other
In physics, it is used to determine whether:
An object is vertical
Two objects are at right angles to each other
Two lines are parallel
A plumb line can also be used to determine if a setup is vertically aligned accurately
A plumb line and set square used to make sure the setup is completely vertical
Another example is using a set square to determine whether a ruler is vertical to aid the measurement of the extension of a spring
The right-angle side of a set square is aligned with the ruler and the bottom of the spring
This ensures the spring and the ruler are parallel to each other (or in other words, a line joining them both is horizontal)
If this set up is not correctly checked with a set square, the ruler could be at an angle, thus providing an inaccurate reading of the extension, which can often be very small
Diameter of a Cylinder
Two set squares can be used to measure the diameter of a cylinder
Since a cylinder has a circular cross-section, this is the diameter of its cross-section
If a ruler is placed directly next to the ends of the cylinder, it is subjective to measure the start and end of the line joining the diameter by eye
Two set squares are placed on either side of the cylinder
These ensure that the ruler and the edges of the cylinder are perpendicular to each other to read the most accurate result
Additional Apparatus
A fiducial marker is a useful tool to act as a clear reference point, such as when measuring the time period of a pendulum using a stopwatch
This improves the accuracy of a measurement of periodic time by:
Making timings by sighting the pendulum as it passes the fiducial marker
Sighting the pendulum as it passes the fiducial marker at its highest speed. The pendulum swings fastest at its lowest point and slowest at the top of each swing
A fiducial marker is used to mark the centre of the oscillation of the pendulum
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