Answer is b and why- 10-5-3- As an object rotates- its angular speed i.docx

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The total acceleration of an object rotating with increasing angular speed is given by the vector sum of the radial acceleration component and the tangential acceleration component (choice b). As an object rotates, it experiences both radial acceleration towards the center of motion and tangential acceleration as the tangential velocity increases due to rising angular speed over time. The object's total acceleration is calculated as the vector sum of these two perpendicular components.

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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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