Horizontal circular motion: un-banked curves Success criteria: you are able to solve problems; and describe the cause and effect of centripetal force.

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Horizontal circular motion: un-banked curves Success criteria: you are able to solve problems; and describe the cause and effect of centripetal force. Success criteria: you are able to solve problems; and describe the cause and effect of centripetal force. The racing bike and rider have a mass of 880 kg. They are traveling at 20 m s -1 around a corner. The radius of the bend is 70 m. The racing bike and rider have a mass of 880 kg. They are traveling at 20 m s -1 around a corner. The radius of the bend is 70 m. 1.Calculate the centripetal force in this situation. 2.What provides the centripetal force that enables the motor cyclist to safely negotiate this bend. 1.Calculate the centripetal force in this situation. 2.What provides the centripetal force that enables the motor cyclist to safely negotiate this bend.

1.Calculate the centripetal force. The centripetal force that enables the motor cyclist to safely negotiate a corner is friction between the tyres and the road. Horizontal circular motion: un-banked curves The racing bike and rider have a mass of 880 kg. They are traveling at 20 ms -1 around a corner. The radius of the bend is 70 m. The racing bike and rider have a mass of 880 kg. They are traveling at 20 ms -1 around a corner. The radius of the bend is 70 m. 2.What provides the centripetal force that enables the motor cyclist to safely negotiate a bend. correct sig.fig

45 o Success criterion: you are able to draw and label vector diagrams. Success criterion: you are able to draw and label vector diagrams. 1.Name the forces that are acting on this car as it corners, ignore friction. 2.Draw the free body diagram for this 1 tonne car when it corners without any road friction on a 45 o banked corner. 3.Using vectors or another method, determine the centripetal force on the car. Many unsealed roads are banked to make it safer for vehicles to corner Horizontal circular motion – frictionless banked curves

45 o There are two forces acting on the car: i.the force of gravity F w acting downwards; and ii.the reaction force F R acting perpendicular to the road surface. Scale 1 cm : 200 N FwFw FRFR = = 45º F = ma F w =1000 x 9.8 F w =9800 N F = ma F w =1000 x 9.8 F w =9800 N 2.Draw the free body diagram for this 1 tonne car when it corners without any road friction on a banked corner that is at an angle of 45 o Horizontal circular motion – frictionless banked curves

45 o Many unsealed roads are banked to make it safer for vehicles to corner FwFw FRFR 45 o FcFc 3.Using vectors or another method, determine the centripetal force on the car. FwFw FRFR Free body diagram Free body diagram F W = F C = 9800 N since opposite angles are equal F w =9800 N Horizontal circular motion – frictionless banked curves or