The acceleration of the item of clothing is 78.95 m/s^2. Hence, option (d) is correct.
Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
Given that: the radius of the cylinder where the clothes sit is 0.50 m.
the machine spins the cylinder at 2.0 revolutions per second.
= (2.0×2π) radian/second.
Hence, centripetal acceleration of the item of clothing = ω²r
= (2.0×2π)²×0.50 m/s^2.
= 78.95 m/s^2.
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