10판/1. 측정

1-16 할리데이 10판 솔루션 일반물리학

짱세디럭스 2019. 7. 20. 20:56

T=1.55780644887275±3[ms] T =1.55780644887275±3\ut{ms} {1.55780644887278[ms]=TMax=TM1.55780644887272[ms]=Tmin=Tm \begin{cases} 1.55780644887278\ut{ms} &= T_{Max} &=T_M \\ 1.55780644887272\ut{ms} &= T_{min} &= T_m \end{cases}
(a) x[cycle/8days]=?x\ut{cycle/8days}=?
(i) TMT_M 1[cycle]1.55780644887278[ms]8.00[days]=1[cycle]1.55780644887278[ms]8.00[days]24[h]1[days]3600[s]1[h]1000[ms]1[s]=3456000000000000000000077890322443639[cycle]4.437008207920493×108[cycle]4.44×108[cycle] \begin{aligned} & \frac{1\ut{cycle}}{1.55780644887278\ut{ms}} \cdot 8.00\ut{days} \\ &= \frac{1\ut{cycle}}{1.55780644887278\ut{ms}} \cdot 8.00\ut{days} \cdot \frac{24\ut{h}}{1\ut{days}}\cdot \frac{3600\ut{s}}{1\ut{h}}\cdot \frac{1000\ut{ms}}{1\ut{s}} \\ &= \frac{34560000000000000000000}{77890322443639}\ut{cycle} \\ &\approx 4.437008207920493\times 10^8\ut{cycle} \\ &\approx 4.44\times 10^8\ut{cycle} \end{aligned}
(ii) TmT_m 1[cycle]1.55780644887272[ms]8.00[days]=1[cycle]1.55780644887272[ms]8.00[days]24[h]1[days]3600[s]1[h]1000[ms]1[s]=864000000000000000000019472580610909[cycle]4.437008207920663×108[cycle]4.44×108[cycle]4.44×108[cycle] \begin{aligned} & \frac{1\ut{cycle}}{1.55780644887272\ut{ms}} \cdot 8.00\ut{days} \\ &= \frac{1\ut{cycle}}{1.55780644887272\ut{ms}} \cdot 8.00\ut{days} \cdot \frac{24\ut{h}}{1\ut{days}}\cdot \frac{3600\ut{s}}{1\ut{h}}\cdot \frac{1000\ut{ms}}{1\ut{s}} \\ &= \frac{8640000000000000000000}{19472580610909}\ut{cycle} \\ &\approx 4.437008207920663\times 10^8\ut{cycle} \\ &\approx 4.44\times 10^8\ut{cycle} \\ \\ \therefore& 4.44\times 10^8\ut{cycle} \end{aligned}
(b)x[s/1000000cycle]=?x\ut{s/1000000cycle} =? (i) TMT_M 1.55780644887278[ms]1[cycle]1000000[cycle]1[s]1000[ms]=1557.80644887278[s] \begin{aligned} &\frac{1.55780644887278\ut{ms}}{1\ut{cycle}} \cdot 1000000\ut{cycle}\cdot \frac{1\ut{s}}{1000\ut{ms}} \\&= 1557.80644887278\ut{s} \end{aligned}
(ii) TmT_m 1.55780644887272[ms]1[cycle]1000000[cycle]1[s]1000[ms]=1557.80644887272[s] \begin{aligned} &\frac{1.55780644887272\ut{ms}}{1\ut{cycle}} \cdot 1000000\ut{cycle}\cdot \frac{1\ut{s}}{1000\ut{ms}} \\&= 1557.80644887272\ut{s} \end{aligned} 1557.80644887275±3×1011[s] \begin{aligned} \\ \therefore& 1557.80644887275\pm 3\times 10^{-11}\ut{s} \end{aligned}
(c) 3×1011[s]=30[ps] \begin{aligned} 3\times 10^{-11}\ut{s} = 30\ut{ps} \end{aligned}