[填空题]
The density of a solid sphere is measured wit1+ i eipfjmvm)d,98 pph percentakvnkdc 3s yaue;30t45 ge uncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncetadv4cs350k3k ;ey unrtainty 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 calc xdma, r)j vp6+ k/x- wzdyfw.:jh.8qdulated by multiplying its volume by the densitxkp+mzyvd,ax q: fh.- dr6)wj d/w.j 8y of the 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