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Five spiders are on top of a record that is turning with an angular velocity of

ID: 2146333 • Letter: F

Question

Five spiders are on top of a record that is turning with an angular velocity of 45 rpm. Rank the following locations according to acceleration that a spider would feel at that spot, from smallest to largest.


a) Spider A sitting 6 cm from the center of rotation.

b) Spider B is sitting 8.5 cm from the center of rotation.

c) Spider C is 23.5 cm from the center of rotation but is walking in a circle concentric with the center of the record, with an angular velocity of negative 45 rpm so that it appears to be standing still to the observer.

d) Spider D is also 23.5 cm from the center of rotation, following spider C, but can only walk as fast as negative 25 rpm.

e) Spider E sits 33.5 cm from the center of rotation.

Explanation / Answer

the acceleration that the spiders experience is defined by the centripetal acceleration: ac = v^2/r therefore, to maximize the acceleration, we need a spider with the maximum speed and the smallest radius the rank is: c d a b e BOL