[填空题]
The radius of a circle of v o/ yvk 718kd1-n+ sa)rtcfs x-yyx/xwire is measured to be 13ghd 3pk(knnr1 w9d/geu(w:c0.0 ± 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 percenta/b-o/jkowx:dh6 p u d,ge error 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, $\Delta A=10 \%$.
Post time 2024-8-21 21:38:19