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A 1.00 m long wooden rod has a series of small holes drilled at 10 mm intervals along its length - Scottish Highers Physics - Question 15 - 2019

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Question 15

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A 1.00 m long wooden rod has a series of small holes drilled at 10 mm intervals along its length. The rod is hung on a horizontal pin passing through a hole 50 mm fr... show full transcript

Worked Solution & Example Answer:A 1.00 m long wooden rod has a series of small holes drilled at 10 mm intervals along its length - Scottish Highers Physics - Question 15 - 2019

Step 1

Describe a method to obtain an accurate value for the period T using only a stopwatch.

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Answer

To obtain an accurate value for the period T, follow these steps:

  1. Measure the Total Time: Use the stopwatch to time multiple swings of the pendulum. Count at least 10 complete oscillations and record the total time taken for these oscillations.
  2. Calculate the Period: Divide the total time recorded by the number of oscillations counted. This will provide a more accurate average period T for one complete oscillation.

Step 2

Using the square-ruled paper on page 41, draw a graph of T against h.

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Answer

On the square-ruled paper, plot the values of h (in meters) on the x-axis and the corresponding values of T (in seconds) on the y-axis. Ensure that appropriate labels and units are used. You may represent the data with a curve of best fit or smooth line that accurately reflects the trend of the data.

Step 3

Using your graph, state the two values of h that produce a period of 1.57 s.

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Answer

From the graph, read off the values of h that correspond to T = 1.57 s. Ensure that you provide both values clearly.

Step 4

Using your graph, estimate the minimum period T.

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Answer

Observe the graph to identify the lowest point on the curve, which indicates the minimum period T. This value can be estimated from the graph and should be reported.

Step 5

Suggest an improvement to the experimental procedure that would allow a more precise value for the minimum period T to be determined.

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Answer

To improve the experimental procedure, consider using smaller increments when adjusting the position of the rod. This will allow for more accurate measurements of h and provide more data points for determining T. Additionally, make multiple measurements at each position to determine an average period.

Step 6

Use data from the table on page 40 to calculate a value for C when h is 0.30 m.

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Answer

Using the relationship T2h=4π2hg+CT^2h = \frac{4\pi^2h}{g} + C, plug in the values for T and h from the data table. For h = 0.30 m, calculate T^2 and rearrange the equation to find C. Assuming g is approximately 9.81 m/s², you can substitute the values and solve for C.

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