Centripetal Force
The Plot Thickens
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?
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?
Flat Curve
Banked Curve