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Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
Physics in sport 2
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Physics in sport 2

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Transcript

  • 1. STARTER – label the forces on a car
  • 2. Tight Corners 2 Physics in Sport
  • 3. Learning Intentions  Identify vertical and horizontal forces on a vehicle moving at constant velocity  Explain that when a vehicle travels around a banked curve the horizontal component of the normal force provides the centripetal force.  Derive and use tanθ=v2/rg for banked curves.
  • 4. Italian Job
  • 5. Forces on a moving vehicle (at a constant speed) FN Horizontally Vertically FN1 FN2 FR FD Tell me about the forces Express in maths W
  • 6. Forces on a car when cornering 2 v F m r  Centripetal forces are from friction between the road an the tyres of the car  Resistive and driving forces are not shown
  • 7. Coefficient of Friction  The friction between a moving vehicle/person and the ground is determined by a number of factors.  Weight  Surface contact  Surface conditions etc.  The reaction force “available” for friction is referred to as the coefficient of friction.  Ff= friction force (N)  FN= Normal (reaction) force (N)  μf= coefficient of friction 𝐹𝑓 = 𝜇 𝑓 𝐹 𝑁
  • 8. Centripetal Force Calculation 150 kg 1. Calculate the centripetal force acting on this motor racer. 2. Find the coefficient of friction. 835N 0.57
  • 9. Road Banking
  • 10. Road Banking Forces (We assume that frictional forces are now minimal)  Vertical forces must balance Fncosθ=mg Fn = mg cosθ
  • 11. Road Banking Forces (We assume that frictional forces are now minimal)  Horizontal forces provide the centripetal force Fnsinθ= mv2 r
  • 12. Deriving the formula Fnsinθ= mv2 r mg sinθ= mv2 cosθ r sinθ= v2 cosθ rg tanθ= v2 rg
  • 13. Calculations  A road is to be constructed with a bend of radius 200m. It will be banked so that the cars travelling up to 100km/h will not rely on friction. What banking angle is necessary?

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