Measurements and reducing errors.

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Questions and Answers

Why are multiple readings of measurements often taken in physics experiments?

  • To make the experiment look more complicated.
  • To avoid using complex equipment.
  • To increase the speed of the experiment.
  • To reduce the impact of measurement errors. (correct)

A student measures the thickness of a stack of 50 sheets of paper to be 4.5 mm. What is the average thickness of one sheet of paper?

  • 0.09 mm (correct)
  • 9 mm
  • 0.9 mm
  • 0.009 mm

What is the primary purpose of using a fiducial marker in an experiment, such as when measuring the period of a pendulum?

  • To increase the amplitude of the pendulum's swing.
  • To provide a reference point for precise measurements. (correct)
  • To make the equipment look more professional.
  • To add weight to the pendulum.

Why is it more accurate to measure the time period of 10 swings of a pendulum and then divide by 10, rather than measuring a single swing?

<p>It reduces the impact of human reaction time error. (A)</p> Signup and view all the answers

A student wants to determine the volume of an irregularly shaped rock. Which piece of equipment would be most suitable for this task?

<p>Measuring cylinder (C)</p> Signup and view all the answers

In an experiment, a student is asked to find the speed of a toy car traveling down a ramp. They are given the length of the ramp and a stopwatch. Which additional piece of information, if provided, would be considered irrelevant to the primary calculation?

<p>The height of the ramp. (D)</p> Signup and view all the answers

A student is measuring the diameter of several ball bearings. They line up 20 ball bearings and measure the total length to be 50 mm. What is the diameter of a single ball bearing?

<p>2.5 mm (D)</p> Signup and view all the answers

When measuring the time period of a simple pendulum, what is the significance of the 'equilibrium position'?

<p>It's the point where the pendulum's speed is greatest. (A)</p> Signup and view all the answers

A student uses a stopwatch to measure the time for a toy car to travel a certain distance. The stopwatch reads 2.34 seconds at the start and 5.67 seconds at the end. What is the time taken for the car to travel the distance?

<p>3.33 seconds (A)</p> Signup and view all the answers

A student is investigating the relationship between the length of a pendulum and its time period. Which of the following would be considered a fiducial marker in this experiment?

<p>A line marked at the equilibrium position. (B)</p> Signup and view all the answers

Why is measuring the thickness of 100 sheets of paper and then dividing by 100 more accurate than measuring a single sheet directly?

<p>It reduces the percentage uncertainty in the measurement. (A)</p> Signup and view all the answers

What type of error is directly reduced by taking multiple measurements and calculating the average?

<p>Random error (D)</p> Signup and view all the answers

A student measures the volume of water in a measuring cylinder before and after dropping an irregular object into it. The initial volume is 50 ml and the final volume is 65 ml. What is the volume of the object?

<p>15 ml (B)</p> Signup and view all the answers

How does using a fiducial marker improve the accuracy of measuring the period of a pendulum's swing?

<p>It provides a consistent visual reference point. (D)</p> Signup and view all the answers

A runner completes a 400m lap of a track. A stopwatch shows a start time of 12.30 seconds and an end time of 67.80 seconds. What was the runner’s lap time?

<p>55.50 seconds (D)</p> Signup and view all the answers

When measuring the diameter of a thin wire, why might a student wrap the wire tightly around a pencil multiple times before measuring the total width of the windings?

<p>To increase the precision of the diameter measurement. (B)</p> Signup and view all the answers

Which of the following best describes the purpose of taking multiple measurements in scientific experiments?

<p>To reduce the effects of random errors. (B)</p> Signup and view all the answers

A student measures the length of a desk using a ruler. Which factor would least likely affect the precision of their measurement?

<p>The color of the desk. (A)</p> Signup and view all the answers

Why is it important to identify and ignore irrelevant information provided in a physics problem?

<p>Irrelevant information can distract from the required calculations. (D)</p> Signup and view all the answers

Which of the following activities would benefit most from the use of a fiducial marker?

<p>Timing the swings of a pendulum. (D)</p> Signup and view all the answers

Flashcards

Measuring cylinder

Used to measure the volume of a liquid or an irregularly shaped solid by observing the change in volume.

Multiple readings

Multiple readings of measurements are often taken to lessen the impact of errors.

Fiducial marker

A visual reference point (like a line or dot) added where a measurement is taken, such as the equilibrium position of an oscillating pendulum, to reduce error.

Finding diameter

To find the diameter of an object. Divide the total length by the number of objects.

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Stopwatch

Used to accurately measure short time intervals

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Timing multiple swings

Averages out human reaction time error.

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Measuring thin objects

Measuring the thickness of multiple sheets then dividing.

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Study Notes

  • A measuring cylinder determines the volume of an irregular shape by measuring the change in volume.
  • Measuring cylinders can determine the volume of a liquid or an irregular-shaped solid

Finding Diameter

  • Divide the total length by the number of ball-bearings to find the diameter.

Stopwatches

  • Stopwatches measure the time taken to complete an event, like a runner on a 400 m track.
  • Questions may include irrelevant information to make the problem seem harder.

Reducing Errors by Taking Multiple Readings

  • Taking multiple readings of measurements reduces the impact of measurement errors.

Measuring Thickness

  • Measuring the thickness of a single sheet of paper is hard to do accurately.
  • Measuring the thickness of 100 sheets and dividing by 100 gives a more accurate average thickness.

Measuring Time Period

  • Measuring the time period of a simple pendulum risks human reaction time error at the start and end.
  • If the measurement is small, the uncertainty in the measurement is huge.
  • Dividing the answer by 10 provides a more accurate average time for one swing.

Fiducial Marker

  • A fiducial marker is a visual reference point like a line or dot.
  • Markers are added to the point at which the measurement is taken, such as the equilibrium position of an oscillating pendulum.
  • This reduces error in starting and stopping the timer.

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