10-37 할리데이 11판 솔루션 일반물리학

$$ \begin{cases} \omega_0&=0\\ \alpha&=\Cons\\ \Delta \theta_{0\rarr 5}&=50\ut{rad}\\ \end{cases} $$ $$\ab{a}$$ $$\Delta \theta=\omega_0t+\frac{1}{2}\alpha t^2,$$ $$ \begin{aligned} \alpha&=\frac{2\Delta \theta}{t^2}\\ &=4.0\ut{m/s^2}\\ \end{aligned} $$ $$\ab{b}$$ $$ \begin{aligned} \bar \omega_{0\rarr5}&=\frac{\Sigma \Delta \theta}{\Sigma \Delta t}\\ &=10\ut{rad/s} \end{aligned} $$ $$\ab{c}$$ $$\Delta \theta=\frac{1}{2}\(\omega+\omega_0\)t,$$ $$ \begin{aligned} \omega_5&=\frac{2\Delta \theta}{t}\\ &=20\ut{rad/s} \end{aligned} $$ $$\ab{d}$$ $$ \begin{aligned} \Delta \theta&=\omega_5t+\frac{1}{2}\alpha t^2\\ &=150\ut{rad} \end{aligned} $$