[填空题]
The density of a solid sphere p(c wii8 z/rc)t4*. *xf7 epqusuk.efis measured with perce8e1 f cu5y1shcntage uncertainty of 5%. The radius of the sphere is 4.0 cyh cesuf1 518± 0.2 cm. What is the percentage uncertainty in the mass of the 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 can) v:1as)bq4vqhk froc, 0wn-t be calculated by multiplying its volume by the density of the material of which it isfh0,ncrw v4 v)aqo): 1k- tbqs 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