[填空题]
The density of a solid sphere is meas3 ym kk 9ubjlxb73-m2hb9/o dvured with percentage uogmw 9alob/gcfv 8793ncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncert3 lgv/9a8cgm 7o9bwofainty 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 mu3o4h0)dlxp4sf4p xeyl-s6 jz ltiplying its volume by the density of the mate-x6 d psp)lz0fj3 y4s 44elhoxrial 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