Physics----Uncertainty的计算 - 知乎 - 知乎专栏
首先需要明确一下，在物理这一学科中，两个同一类型的量才能进行加减，也可理解为单位相同的量才可以去加或者减，例如2Kg+2m？ 质量加上长度，这是什么结果？ 所以同学们在计算过程中也要注意这个问题，往往有同学一股脑儿在套用公式，把各种量随便进行加减。 e.g. A thermometer 其uncertainty为±0.5K，温度从298±0.5K 降到273±0.5K，求the difference in temperature？ 不管在加法或者减法，请注意都是把absolute uncertainty相加，如果已知条件给的percentage …
1.3: Measurements, Uncertainty and Significant Figures
2023年8月27日 · Using Derivatives to Calculate Uncertainty. The three rules above handle most simple cases. The general case is where \(z=f(x)\). For Rule 1 the function \(f\) is addition or subtraction, while for Rule 2 it is multiplication or division.
Calculating Uncertainties | CIE A Level Physics Revision Notes 2022
2023年5月22日 · The uncertainty in a measurement: at least ±1 smallest division; The uncertainty in repeated data: half the range i.e. ± ½ (largest - smallest value) The uncertainty in digital readings: ± the last significant digit unless otherwise quoted; How to calculate absolute, fractional and percentage uncertainty
How To Calculate Uncertainty - Sciencing
2020年10月26日 · If you're multiplying or dividing, you add the relative uncertainties. If you're multiplying by a constant factor, you multiply absolute uncertainties by the same factor, or do nothing to relative uncertainties. If you're taking the power of a number with an uncertainty, you multiply the relative uncertainty by the number in the power.
We can easily estimate V by dividing d by t, but we also need to know how to find δV. Below we investigate how error propagates when mathematical operations are performed on two quantities x and y that comprise the desired quantity q.
Examples of Uncertainty calculations - Rochester Institute of …
2003年7月17日 · When one multiplies or divides several measurements together, one can often determine the fractional (or percentage) uncertainty in the final result simply by adding the uncertainties in the several quantities. Jane needs to calculate the volume of her pool, so that she knows how much water she'll need to fill it.
Uncertainty when multiplying two measured values - Physics …
2018年10月4日 · "If we multiply two measured values, their relative uncertainty must sum up." So I calculate the scalar product of the average values, maximum and minimum values:
Uncertainties and Error Propagation - LSU
2000年7月1日 · For multiplication by an exact number, multiply the uncertainty by the same exact number. Example: The radius of a circle is x = (3.0 ± 0.2) cm. Find the circumference and its uncertainty.
When quantities with uncertainties are combined, the results have uncertainties as well. Following is a discussion of multiplication. For the following examples, the values of x = 2. y = 32:0 0:2 will be used. Suppose we have a number with an uncertainty, and we multiply it by a constant. (A constant is a number with no uncertainty.)
IB Physics Notes - 1.2 Measurement and uncertainties - IB Guides
To calculate the percentage uncertainty of a piece of data we simply multiply the fractional uncertainty by 100. Example: 1.2 s ± 0.1. Percentage uncertainty: 0.1 / 1.2 x 100 = 6.25 %. 1.2.11 Determine the uncertainties in results. Simply displaying the uncertainty in data is not enough, we need to include it in any calculations we do with the ...