70.4k views
1 vote
Three measurements of the time for 20 oscillations of a pendulum give t = 39.6 s, t2 = 39.9 s, and t3 = 39.5 s. What is the precision in the measurements? What is the accuracy of the measurements?

a) Precision: 0.3 s, Accuracy: 0.1 s
b) Precision: 0.1 s, Accuracy: 0.3 s
c) Precision: 0.4 s, Accuracy: 0.1 s
d) Precision: 0.1 s, Accuracy: 0.4 s

1 Answer

1 vote

Final answer:

The precision of the pendulum's oscillations is 0.4 s, representing the range of measurements: 39.5 s to 39.9 s. Accuracy cannot be fully determined without a true value for comparison.

Step-by-step explanation:

The precision of these pendulum time measurements would be based on the variation between the different measurements taken. The highest value is 39.9 s and the lowest is 39.5 s, giving us a range of 0.4 s. This represents the precision of the measurements. Precision relates to the consistency between multiple measurements, not their proximity to the true value.

Regarding accuracy, without an accepted true value to compare to, we can't specifically determine the accuracy of the measurements. Accuracy refers to how close a measurement is to the actual (true) value. In standard practice, the average of the measurements might be considered an estimate of the true value, but it doesn't directly inform us about the accuracy unless the true value is known.

If option (a) suggests the range of measurements as precision and the deviation of the average from a known true value as accuracy, it is incorrect since the true value is not provided. Option (b) would be incorrectly reversing the definitions of precision and accuracy. Option (c) is incorrect because it lists a precision that does not match the computed range. Option (d) correctly identifies the computed range as precision but inaccurately labels the average deviation as accuracy without a true value to reference.

User Licysca
by
8.2k points