Kognity IB Physics A.0 Measurements & Uncertainty (id: 0bf366a6f)

admin

本题目来源于试卷: Kognity IB Physics A.0 Measurements & Uncertainty，类别为 IBDP Physics

本题为动态变量类型，下面题目描述与解答中出现的数值不同于您在作答时遇到的数值！

[填空题]
The radius of a circle m)k, gxgy i7/9 wq ys3ncdcnv*5j7dieu3nv+ 0of wire is measured to be 1;utsfsph sjm;.:,dm 20.0 ± 0.5 cm.
What is the percentage error in the area of the loop?   %
What is the percentage error in the circumference of the loop?   %

参考答案:
空格1: 10.0  空格2: 5.0 


本题详细解析:
First calculate the percentage error:789osu6acrort q q4u in the radius of the loop: $$ \frac{\Delta \mathrm{r}}{\mathrm{r}}=\frac{0.5}{10}=5 \% $$ The area of a circle is $A=\pi r^2$ and so the percentage error on the area of the loop will be twice the percentage error of the radius, $\Delta A=10 \%$.