11판/1. 측정

1-30 할리데이 11판 솔루션 일반물리학

짱세디럭스 2022. 10. 8. 00:23

{43[cm]<1[cubit]<53[cm]L=11[cubit]2R=2.5[cubit] \begin{cases} 43\ut{cm}<1\ut{cubit}<53\ut{cm}\\ L=11\ut{cubit}\\ 2R=2.5\ut{cubit}\\ \end{cases} (a)\ab{a} 43[cm]<1[cubit]<53[cm]1143[cm]<11[cubit]<1153[cm]473[cm]<11[cubit]<583[cm]4.73[m]<11[cubit]<5.83[m] \begin{aligned} 43\ut{cm}<1&\ut{cubit}<53\ut{cm}\\ 11\cdot43\ut{cm}<11&\ut{cubit}<11\cdot53\ut{cm}\\ 473\ut{cm}<11&\ut{cubit}<583\ut{cm}\\ 4.73\ut{m}<11&\ut{cubit}<5.83\ut{m}\\ \end{aligned} {Max5.8[m]Min4.7[m] \begin{cases} \text{Max}&\approx5.8\ut{m}\\ \text{Min}&\approx4.7\ut{m}\\ \end{cases} (b)\ab{b} {Max5.8[m]=5.8×103[mm]Min4.7[m]=4.7×103[mm] \begin{cases} \text{Max}&\approx5.8\ut{m}=5.8\times10^3\ut{mm}\\ \text{Min}&\approx4.7\ut{m}=4.7\times10^3\ut{mm}\\ \end{cases} (c)\ab{c} 43[cm]<1[cubit]<53[cm](43[cm])3<1[cubit3]<(53[cm])379507[cm3]<1[cubit3]<148877[cm3]0.079507[m3]<1[cubit3]<0.148877[m3] \begin{aligned} 43\ut{cm}<1&\ut{cubit}<53\ut{cm}\\ (43\ut{cm})^3<1&\ut{cubit^3}<(53\ut{cm})^3\\ 79507\ut{cm^3}<1&\ut{cubit^3}<148877\ut{cm^3}\\ 0.079507\ut{m^3}<1&\ut{cubit^3}<0.148877\ut{m^3}\\ \end{aligned} V=πR2L=π(2520[cubit])211[cubit]=275π16[cubit3]=275π16[cubit3] \begin{aligned} V&=\pi R^2L\\ &=\pi \(\frac{25}{20}\ut{cubit}\)^2\cdot11\ut{cubit}\\ &=\frac{275\pi}{16}\ut{cubit^3}\\ &=\frac{275\pi}{16}\ut{cubit^3} \end{aligned} 275π16×0.079507[m3]<V<275π16×0.148877[m3]874577π640000[m3]<V<1637647π640000[m3]4.293069809685314[m3]V8.03878091308338[m3]4.3[m3]V8.0[m3] \begin{aligned} \frac{275\pi}{16}\times0.079507\ut{m^3}< V&<\frac{275\pi}{16}\times0.148877\ut{m^3}\\ \frac{874577\pi}{640000}\ut{m^3}< V&<\frac{1637647\pi}{640000}\ut{m^3}\\ 4.293069809685314\ut{m^3}\lesssim V&\lesssim8.03878091308338\ut{m^3}\\ 4.3\ut{m^3}\lesssim V&\lesssim8.0\ut{m^3}\\ \end{aligned}