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In the Pendulum lab, write the formula to estimate the propagated error in \"g\"

ID: 1475328 • Letter: I

Question

In the Pendulum lab, write the formula to estimate the propagated error in "g". Assume the plane of oscillation is vertical. List two sources of random and systematic errors in determining Range in the Projectile Experiment. How will you minimize them? You are measuring the diameter of a cylinder using a Vernier Calipers. you notice that Vernier zero mark is past 2.0mm line after the 1.0 cm main scale mark. If the third mark to the right of Vernier zero is aligned with the given main scale mark, what is the measured diameter of the cylinder? (Assume the least count of the calipers is 0.01cm). Express you answers in cm and mm. Micrometer screw is used to measure the diameter of a wire. The circular scale of a micrometer screw is past the 0.5 mm mark on the axial main scale after the 5.0mm mark. If the 28^th mark on the circular scale is past the central axial line, what is the diameter of the wire? (You are given that pitch of the screw is 0.01mm).

Explanation / Answer

It seems that you need help with exercise 10 as it is in a circle

Random Error: Random errors are, as the name suggests, random. They are the result of small differences in the experimental procedure from one measurement to another. If you are measuring the length of an object, holding the ruler at slightly different points on that object is a likely source of random error.

Some example of random mistakes are starting to measure the time few moments before or after the projectile is thrown. Another would be ramdom mistakes in measuring the maximum height (i.e you measured a little bit up or down the zero height reference) of the projectile to relate it with the initial speed. To minimize ramdom errors the key is to make several measurements and taking the average, another way is trying to have the smallest reaction time when time measuring starts.

Systematic Error: Systematic errors are errors in measurement that occur due to some problem with the measurement procedure that is exactly the same for every trial. If you are measuring the length of an object, using a meter stick that is marked incorrectly is an example of a source of systematic error.

Some systematic errors are using a meter stick that is marked incorrectly and using a non calibrated watch or time measuring device. The key is using calibrated instruments and marking correctly the length measuring devices