(Solved): The angular acceleration of a rotating rigid body is given by =(7.04.0t)rad/s2. If the body st ...

The angular acceleration of a rotating rigid body is given by $\alpha =(7.0-4.0t)\mathrm{rad}/{\mathrm{s}}^2$. If the body starts rotating from rest at $t=0$, answer the following. (a) What is the angular velocity? (Use the following as necessary: $t$. Assume $t$ is in seconds and $\omega$ is in rad/s. Do not include units in your answer. Enter a mathematical expression or equation with exact values.) $\omega =$ $\theta =$ (c) What angle (in rad) does it rotate through in $2.0\mathrm{s}$ ? (Indicate the direction with the sign of your answer. Round your answer to at least 2 decimal places.) $\mathrm{rad}$ (d) What is the angular position at $t=2.0\mathrm{s}$ ? (Give your answer in degrees counterclockwise from the $+x$-axis, where $0^{\circ }$ lies along the $+x$-axis.) - counterclockwise from the $+x$-axis