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Centripetal Force. The Plot Thickens. Discussion Questions. What are the reasons for plotting F c = v ? Is there a mathematical relationship? If so, what is it? Is there a relation ship between F c and mass? If so, what is it? Is there a relation ship between F c and radius?
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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? • If so, what is it?
Centripetal Force • Fc = (mv2)/r
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
How does this relate to • Newton’s 2nd Law?
A Sample to Try • •A 13 500 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 –
Solution • The real answer is… the centripetal acceleration
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?