cq_1_251

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PHY 231

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A steel ball of mass 110 grams moves with a speed of 30 cm / second around a circle of radius 20 cm.

• What are the magnitude and direction of the centripetal acceleration of the ball?

answer/question/discussion: ->->->->->->->->->->->-> :

It's direction is towards the center of the circle. Its magnitude is found as:

a ( rad ) = v^2 / R

a ( rad ) = (( .3 m )^2 )/ .2 m

a ( rad ) = .45 m/s/s

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• What is the magnitude and direction of the centripetal force required to keep it moving around this circle?

answer/question/discussion: ->->->->->->->->->->->-> :

The direction of the centripetal force is always perpendicular to the instantaneous velocity, directed toward the inside, center of the circle. The lateral acceleration is .0459 g ( .45 m/s/s / 9.8 m/s/s. ); it is the maximum acceleration that can be attained. It is a product of the gravity.

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25 Minutes

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