[填空题]
The density of a solid sphere is measured with percentage un7 zcdm,f hq1 (l vkr 7,epoe)p07li5wjcertal q )ho /t8ixgqs.x1d.d0wmo )inty of 5%. The radius of tqho w.gxd8)dqlt1mi 0 xos/.)he 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 c (8hpr0tlcwbkq:- agg6 rf*62ba ,rthalculated by multiplying its volume by the density of the material of which it is mad2b(ltgh8krpt bwcr*qg:r ,a 6a-h6 f 0e: $$M=\frac{4}{3} \pi r^3 \rho$$ 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