[填空题]
The density of a solid spher r sf7w9x71wbr) yz(bd+a0agl e ip .s -xsy8jk*gs measured with percentage uncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncertainty in the mass of the8.sp-kyjx gs* sphere? % (Please do not include the % simbol in the blank)
参考答案: 20.0
本题详细解析: The mass of the sphere s zzd/umg5t6vger*0-* g yb 7scan be calculated by multiplying its volume by the density oubryesm5*/76 v sz*t d0 ggzg-f the material of which it is made: $$M=\frac{4}{3} \pi r^3 \rho$$ so the percentage uncertainty in $M$ is $$\frac{\Delta M}{M}=3 \frac{\Delta r}{r}+\frac{\Delta \rho}{\rho} .$$ The percentage uncertainty in $r$ is $5 \%$, so the percentage error in $M$ is $(3 \times 5 \%)+5 \%=20 \%$
Post time 2024-8-21 21:38:19