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Angular velocity, the radian, and centripetal acceleration

lizabeth rawson physics A level English 25 cards

How do you derive a = v*2 / r

Cards in this deck (25)

  1. 1What is the SI unit for angleRadian
  2. 2Define the radianA radian is the angle subtended by a circular arc with a length equal to the radius of a circle, the SI unit for measuring angles
  3. 3What is the equation for the angle subtended by any arc in radiansAngle in radians - arc length / radius
  4. 4How do you convert from degrees to radiansDivide the angle in degrees by 180/pi
  5. 5How do you convert from radians to degreesMultiply the angle in radians by 180/pi
  6. 6How many radians in a full circle2pi radians
  7. 7Define angular velocityThe rate of change of an angle for an object moving in a circular path
  8. 8Give 2 equations for angular velocityw = 2pi / Time period
    w = 2pi x frequency
  9. 9What is the time periodThe time taken for an object to complete one full revolution
  10. 10What are the units for angular velocityRadians per second, degrees per second, revolutions per second and revolutions per minute
  11. 11What is the equation for frequency involving timef = 1/Time period
  12. 12How do you convert from revolutions per minute to radians per secondMultiply by 0.104
  13. 13Define a centripetal forceA force that keeps a body moving with a constant speed in a circular path
  14. 14Where does a centripetal force act relative to the velocityCentripetal force acts perpendicular to the velocity of the object
  15. 15Why does the speed remain constant for an object experiences centripetal forceSince the centripetal force acts perpendicularly to the speed, the force has no component in the direction of motion so no work is done on the object and the speed remains constant
  16. 16Give practical examples of centripetal forceGravitational attraction (satellite)
    Friction (race car)
    Tension (yo-yo swing)
  17. 17At any point on a circle, what is the directional relationship between the linear velocity and the circular pathThe linear velocity is always at a tangent to the circular path
  18. 18What is the equation for the speed of an object moving in a circle at a constant speedSpeed = distance / time
  19. 19In one complete rotation, what is the distance travelled to?The circumference of the circle, 2pi x radius
  20. 20Given distance travelled in 1 full rotini is 2pi x radius, what is the speed equal to? And how is this used to derive the final speed equationSince distance is 2pi x radius, and s=d/t, v=2pi x radius / T. Since w=2pi / T, v = rw
  21. 21What is the relationship between linear velocity and the radius for objects with the same angular velocityDirectly proportional
  22. 22Define centripetal accelerationThe acceleration of any object traveling in a circular path at a constant speed which always acts towards the center of the circle
  23. 23What does the centripetal acceleration depend onThe speed of an object, and the radius of the circular path
  24. 24Give the equations for centripetal accelerationA = v*2 / r
    A = w*2 r
  25. 25How do you derive a = v*2 / rHow do you derive a = v*2 / r

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physics A level (M5 Chapter 16 Circular motion ) Flashcards on Angular velocity, the radian, and centripetal acceleration, created by lizabeth rawson on 24/09/2021.
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