[填空题]
The density of a solid sphere is measured with percentage + mon.43arnj; l1mz ukg-kdn2y7.-nfm8:eiq1 ll 7x h6tw y dsde9bh/uncertainty of 5%. The radius of the sphere is 4. l-by.k lt/i69es:d n7d7nfmhy 8d1q 2g-w ehx0 ± 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 multiplying its volume by the den4jn -gf0 x zk.;yf;opksity of theok-.n0;x gk4pfy; jzf 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