[填空题]
The density of a solid sphere is measure*rm5 mxz-co n9d with percentage uncertainty of 5%s 0 yxw2y3ym, q8aq1ag. The radius of the sphere is 4.0 ± 0.2 cm. What ay30q8m qawy1 ,xsg2y 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 bynbv 09s s7n5 il,plr6md-1oid the density of the material of which it is mi1npmrd d0svol65, bi-ln97 sade: $$M=\frac{4}{3} \pi r^3 \rho$$ 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