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Centripetal Force
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The Plot Thickens
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Discussion Questions What are the reasons for plotting Fc = v ?
Is there a mathematical relationship? If so, what is it? Is there a relation ship between Fc and mass? If so, what is it? Is there a relation ship between Fc and radius?
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Centripetal Force Fc = (mv2)/r
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Re-fining the Equation
Displacement is circular so it is the circumference of the circle •Velocity is displacement over time •Acceleration is change in velocity over time
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How does this relate to Newton’s 2nd Law?
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A Sample to Try •A N car traveling at 50.0 km/hr rounds a curve of radius 200 m. –Determine the centripetal acceleration of the car –Determine the centripetal force –
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Solution The real answer is… the centripetal acceleration
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How fast can I do the curve?
What is the minimum coefficient of friction between the tires and the road so the car can round the curve safely?
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Flat Curve
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Banked Curve
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