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

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

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[填空题]
The radius of a circl6to-7nsyc ;b tu6zik8kwj4r *e of wire is measured to z;vk7hp.s *7.q sq1df l 2 d/la he2xmej4pz(zbe 10.0 ± 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 in the radjd46y*ak x+dh ius 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, $\Delta A=10 \%$.