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Course: Conceptual Physics

Circular Motion

Unit Introduction:

Students examine t= he forces causing circular motion and relate concepts of velocity and accelera= tion to the circular frame of reference.

Objectives: The students learn that….=

  • Rotation occurs when an object turns about an internal axis.<= /li>
  • Revolution occurs when an object turns about an external axis.<= /li>
  • Some objects both rotate and revolve i.e. the Earth
  • Rotational velocity (ω) is the number of rotations (or revolutions) per unit= of time.
    • All parts of a turning object will have the same rotational speed.
  • Linear velocity (or tangential velocity)(v), is the total distance moved in a unit of time.  This veloc= ity is always tangential to the direction of the circular motion.<= /span>
  • Linear velocity has the equation of v  =3D ω r.  Tangential velocity increases= the further from the axis the object is located.
  • How to calculate the tangential velocity of an object given the rotational velocity and the distance from the axis.
  • Centripetal force is an inward force that is responsible for an object moving in a circular motion.
  • Centripetal force is the net force used to describe forces acting on an object mov= ing in a circle.
  • Centripetal force does no work on an object.  This is because the direction of the force is always inward, wh= ile the direction of motion is always tangential to the circle.=
  • The centripetal force necessary to make an object move in a circle can be expressed as <= ![endif]>, where r is the distance from the axis.<= /span>
  • Centrifugal force is an fictitious force often attributed to circular motion.=
    • Centrifugal force is a supposedly outwardly directed force that occurs during circular motion.
    • Centrifugal force is not real.  The feeling of being pushed out of a rotating frame of reference is not d= ue to a force but rather to inertia.
    • The reason centrifugal force is not real there is no reaction force to ma= ke an action-reaction pair with (as Newton’s 3rd Law says there must be).
  • Centripetal force causes acceleration (as any net force will), called centripetal acceleration. 
    • Centripetal acceleration can be found with the following formula: 

 <= /span>

Student Misconc= eptions:

Common difficulties that students have in this unit are described, along with = an approach for helping them overcome these difficulties.

Resources:

Conceptual Physics (Hewitt) Chapter 9

Pacing Guide:

This unit will take approximately 1 week.

Unit Assessment:

 <= /span>

 <= /span>

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 Curriculum Por= tal

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