[填空题]
The density of a solid sphere iy8u 4 x)yknqyh9c *3sl0ph4xr s measured with per5 + aqfe qk(p2no75ba3xr9f ngcentage uncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncertainty in the mrb aqon2xf 5n3q gfp57(a+e9k ass 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 bu+xc:(vmb3k calculated by multiplying its volume by the density of the material of which it u:+v( 3mkbcbxis 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