A body rotates about a fixed axis with an angular acceleration of one radian/second/second . Determine the angle through which it rotates during the time in which its angular velocity increases from 5 rad/s to 15 rad/s .

Step-by-step solution

Using the third equation of rotational kinematics: _f^2 = _i^2 + 2 Given _i = 5 rad/s , _f = 15 rad/s , and = 1 rad/s ^2 . Substituting the values into the equation: (15)^2 = (5)^2 + 2(1) 225 = 25 + 2 2 = 200 = 100 rad