[填空题]
The density of a solid sphere t ke -pk2rwk6.3aoqcz0-r6kqs x/ s,cis measured with peoz8d 5 h9mn;0xv d 7sbtezg.-wrcentage uncertainty of 5%. The radix h 0-8zw9t.5omv7znebd;d sg us of the sphere is 4.0 ± 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 be calculated by multidrzj x-r938zk pv*ef/( oh :bzplying its volume by the density of the material of which it is mk *b 8dovhex(/z:r fp9rz-z3jade: $$M=\frac{4}{3} \pi r^3 \rho$$ 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