Paper 5
Question 1 solutions
Year 2023 -All seasons-
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9702/52/Feb/March/2023
Diagram ( I used grey to remind you to do it in pencil ):
Defining the Problem:
• f is the independent variable
• Q is the dependent variable
• Keep h constant throughout the experiment
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Method of Data Collection:
• Use a stopwatch to measure the time (t) taken by the blades to complete 25 revolutions, and calculate
frequency using:
➤f=25/t
• Mark one of the blades to assist in accurate counting of revolutions
• To vary f, adjust the fan speed setting or vary the current supplied to the fan
• Use a top-pan balance to measure the mass (m) of the liquid collected from the pipe as follows:
• Measure the mass of the empty beaker (m₁) using the top-pan balance before starting the experiment
• Measure the mass of the beaker with the collected liquid (m₂) after time t has passed
• Determine the mass of the liquid collected using:
➤m = m₂- m₁
• Calculate the flow rate Q using the formula:
➤Q = m/t
• Repeat the measurement of Q for each value of f, then calculate the average Q
• Use a ruler to measure h (and keep it constant for all trials)
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Data Analysis:
• Plot a graph of Q (y-axis) against f³ (x-axis)
• The expected relationship Qgh = C + Df³ is valid if a striaght line graph is produced that does not pass through
the origin
• C = y-intercept × gh
• D = gradient × gh
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Additional detail:
• Wait for steady airflow before starting to count revolutions or collect liquid
• Wear goggles to prevent dust particles from entering the eyes
• Clamp the turbine to the bench securely to prevent it from falling