Suppose you determine the acceleration of gravity g =4π2LT2 by measuring the oscillation period T of a pendu-lum with length L. Determine the value and uncertaintyof g from the following measurementT = 2.01 ± 0.02 s, L = 1.000 ± 0.002m.If you wish to improve the above measurementsignificantly, which part of the measurement (T or L) doyou want to improve? Why?

In an experiment to determine the acceleration of free fall g, the time t taken for a ball to fallthrough distance s is measured. The percentage uncertainty in the measurement of s is 2%. Thepercentage uncertainty in the measurement of t is 3%.The value of g is determined using the equation shown.22tsg What is the percentage uncertainty in the calculated value of g?A 1% B 5% C 8% D 11%

To best estimate the uncertainty in the length of such a pendulum, measured with a metre stick with cm markings, we should takeQuestion 2Answera.the reading uncertainty of the metre stick.b.a multiple of the reading uncertainty to account for the non ideal use of the metre stickc.the standard deviation of many measurements of the length divided by the square root of the number of measurements we maked.no uncertainty

For an experiment in this unit, you measure the time of a ball falling from rest as 3.4 ± 0.2 s and you want to calculate the distance the ball has fallen during that time, where you are taking the acceleration due to gravity as a = 9.8 ± 0.1 ms-2. What is the absolute uncertainty (to 1 sig fig) in the distance, calculated from the given values? Question 10) Select one: a. 4 m b. 0.5 m c. 7 m d. 6 m e. 0.3 m

Which one of the following statements is true?Group of answer choicesOnly the quantities we measure directly have uncertainties; once we perform calculations with these quantities our answer is exact.If a height is recorded as h = (12 ± 3) mm, then it is absolutely certain that the height is between 9 mm and 15 mm.When we repeat a measurement many times and take the average value of these measurements, the uncertainty on this average (i.e. the SEM) is generally expected to be smaller than the uncertainty on the individual measurements.We only have uncertainties in first year lab because our equipment is not precise enough; in research labs there is no uncertainty.

Discuss ways to reduce uncertainties in an experiment.