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TorqueTough NutPivot PointLever ArmPerpendicular ComponentMoment of ForceChanging a TireTorque WrenchTorqueTorqueTough NutTough NutWhich of the four arrangements is best for tightening Which of the four arrangements is best for tightening a bolt?a bolt?FA B C D2/FFF2rr2/3rr4560Pivot PointPivot PointRotation of a wheel or wrench takes place with an Rotation of a wheel or wrench takes place with an axis of rotation.axis of rotation.The point where the axis intersects the object is the The point where the axis intersects the object is the pivot pointpivot point. . rrpivot pointtataLever ArmLever ArmThe tangential force acts at a distance away from the The tangential force acts at a distance away from the pivot point.pivot point.The distance from the pivot to the force is called the The distance from the pivot to the force is called the lever armlever arm, or , or moment armmoment arm..rrlever arm points out from the pivottataPerpendicular ComponentPerpendicular ComponentOnly the perpendicular component of the force can Only the perpendicular component of the force can affect the tangential acceleration.affect the tangential acceleration.For an angle (For an angle () between the force () between the force (FF) and lever arm ) and lever arm ((rr), the perpendicular component is ), the perpendicular component is FFsinsin. . rˆangle between lever arm and forceFtaMoment of ForceMoment of ForceThe force exerted on the lever arm is the moment of The force exerted on the lever arm is the moment of force.force.This is called torque (This is called torque (). ). sinrFChanging a TireChanging a TireA wheel nut needs 95 N-m of A wheel nut needs 95 N-m of torque.torque.A 45 cm wrench makes a A 45 cm wrench makes a 6767°° angle with the horizontal. angle with the horizontal.The horizontal force needed: The horizontal force needed: Fr°°N230)113sin()m45.0(mN95sinsinFrFrFTorque WrenchTorque WrenchConsider the product Consider the product rFrFsinsin..nextFrF (0.7)2rF = (1.4)rF(0.87)rF (3r/2)(F/2) =


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NIU PHYS 253 - Torque

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