Answer is b and why?
10.5.3. As an object rotates, its angular speed increases with time. Complete the following statement: The total acceleration of the object is given by a) the vector sum of the angular velocity and the tangential acceleration component divided by the elapsed time. b) the vector sum ofthe radial acceleration component and the tangential acceleration component. c) the angular acceleration. d) the radial acceleration component. e) the tangential acceleration component.
Solution
When an object rotates, it experiences radial acceleration(directed towards the center of motion). Also, since the angular speed is increasing with time, so will the tangential velocity. Therefore, the object will also be subjected to tangential acceleration which is directed tangentially. therefore, the objecte is subjected to both radial and tangential acceleration.
Since they are directed perpendicular to each other, the total acceleration=vector sum of radial and tangential acceleration
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