[填空题]
The density of a solid soer c*r3sn)zb(n ; wv9vvz/9mphere ifm16wqjmkupp krq8i-rr2 *)s : ic:m/s measured with percentage uncertainty of 5%. The radius of the sphere is 4.0 ± 0.2 cm. What is the percentage uncertainty in the mass of the6mkim pm1k cu sr:)qqri-:w/8p*rfj2 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 bg(ozz-6bkpgu t 0 ,a+)(vreboy the density of the material of which it isbboz)v(g, z+kpta g0e6u-ro( 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