A marble with mass m = 9 g at the end of a massless cord is swinging in a circle of radius R = 1.26 m with and angular velocity ω = 15 rad/s. A)Write an expression for the velocity v of the marble.  b)Calculate the velocity of the marble, v in m/s.  c)In order to travel in a circle, the direction the marbles path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center pointing acceleration called centripetal acceleration ac. Write an expression for the centripetal acceleration ac of the marble, in terms of the linear velocity.  d)Calculate the centripetal acceleration of the marble, ac in m/s2.

College Physics
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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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A marble with mass m = 9 g at the end of a massless cord is swinging in a circle of radius R = 1.26 m with and angular velocity ω = 15 rad/s.

A)Write an expression for the velocity v of the marble. 

b)Calculate the velocity of the marble, v in m/s. 

c)In order to travel in a circle, the direction the marbles path must constantly be changing (curving inward). This constant change in direction towards the center of the circle is a center pointing acceleration called centripetal acceleration ac. Write an expression for the centripetal acceleration ac of the marble, in terms of the linear velocity. 

d)Calculate the centripetal acceleration of the marble, ac in m/s2

 

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