11판/4. 2차원 운동과 3차원 운동

4-55 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 2. 13. 15:41
{v=8.50[m/s]aR=4.00[m/s2] \begin{cases} v&=8.50\ut{m/s}\\ a_R&=4.00\ut{m/s^2}\\ \end{cases} (a)\ab{a} aR=v2R,a_R=\frac{v^2}{R}, R=v2aR=28916[m]=18.0625[m]18.1[m] \begin{aligned} R&=\frac{v^2}{a_R}\\ &=\frac{289}{16}\ut{m}\\ &=18.0625\ut{m}\\ &\approx 18.1\ut{m}\\ \end{aligned} (b)\ab{b} v=2πRT,v=\frac{2\pi R}{T}, T=2πRv=17π4[s]13.35176877775662[s]13.4[s] \begin{aligned} T&=\frac{2\pi R}{v}\\ &=\frac{17\pi}{4}\ut{s}\\ &\approx 13.35176877775662\ut{s}\\ &\approx 13.4\ut{s}\\ \end{aligned}