I completed a centripetal force experiment with a rotatingmass attached to a hor

Question

I completed a centripetal force experiment with a rotatingmass attached to a horizontal spring, measured various radii, withcalculated time period of 50 revolutions, a measured force equal toforce of gravity attached to mass and string/pulley andexperimental force using F cent = 4pi^2 (mass)/( T^2)* r. Ihad some questions i was unsure about from post-labdiscussion. 1) Why should the total hanging weight equal the net force onthe rotating mass? 2)how does the centripetal force vary with the radius of thepath if the angular velocity remains the same? 3)Find the slope of the line of your F vs r graph.Discuss whatthe slope should be and whether the value you found isreasonable.[you can use the slope of the line to find the mass, M,you should support your discussion with a calculation of anappropriate percent difference. I completed a centripetal force experiment with a rotatingmass attached to a horizontal spring, measured various radii, withcalculated time period of 50 revolutions, a measured force equal toforce of gravity attached to mass and string/pulley andexperimental force using F cent = 4pi^2 (mass)/( T^2)* r. Ihad some questions i was unsure about from post-labdiscussion. 1) Why should the total hanging weight equal the net force onthe rotating mass? 2)how does the centripetal force vary with the radius of thepath if the angular velocity remains the same? 3)Find the slope of the line of your F vs r graph.Discuss whatthe slope should be and whether the value you found isreasonable.[you can use the slope of the line to find the mass, M,you should support your discussion with a calculation of anappropriate percent difference.

Explanation / Answer

(1)Since the anglar vrlocity is constant , so there should be no nettorque on the object. So the forces need to be equal.

(2)Centrepital force = mr2

sinceit depends on r also , so it will vary will radius evenif is constant

(3)The graph should be linear with slope equal tom2 . It should also pass through origin

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