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Chapter 7.3

Chapter 7.3. Circular Motion. Uniform Circular Motion. Motion at constant speed in a circle. v 1. D r. v 2. r 1. r 1. r 2. r 2. v 1. D v. v 2. D r D v r v. =. . D r D v r D t v D t. =. D r/ D t = v D v/ D t = a. . v a r v. =. . v 2

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Chapter 7.3

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  1. Chapter 7.3 Circular Motion

  2. Uniform Circular Motion • Motion at constant speed in a circle

  3. v1 Dr v2 r1 r1 r2 r2 v1 Dv v2

  4. Dr Dv r v = \ Dr Dv rDt vDt =

  5. Dr/Dt = v Dv/Dt = a \ va r v = \

  6. v2 r ac =

  7. Centripetal Acceleration (ac) • Acceleration towards the center of a circle in uniform circular motion

  8. 4p2r T2 ac =

  9. Centripetal Force (Fc) • The force that causes centripetal acceleration

  10. mv2 r Fc =

  11. m4p2r T2 Fc =

  12. A 5.0 kg ball is attached to the end of a 2.0 m string and swung at 4 revolutions per second. Calculate: ac & Fc

  13. Drill: A 25 g ball is attached to the end of a 500.0 cm string and swung at 5.0 revolutions per second. Calculate: ac & Fc

  14. The NASA space station spins with a diameter of 100.0 m. Calculate the period required to create an ac of 9.8 m/s2:

  15. Calculate the speed a roller coaster must achieve to spin in a vertical circle with a diameter of 10.0 m:

  16. A 2.5 kg ball is attached to the end of a 125 cm string and swung at 2.0 revolutions per second. Calculate: ac, vball, & Fc

  17. A 50.0 kg box slides down an 250 m inclined plane that is 37o from horizontal with an acceleration of 2.5 m/s2. Calculate F||, F, Fnet, Ff, vf, & m on the incline and a & dH on the flat.

  18. An arrow is fired at 50.0 m/s at 53o from horizontal. Calculate: dH & dV at 1.0 s, 2.0 s, 3.0 s, & max dH & dV

  19. A 10.0 g box slides down an 25 cm inclined plane (m = 0.20) that is 45o from horizontal. Calculate F||, F, FN, Ff, Fnet, a, & vf on the incline.

  20. Test Review

  21. A ball thrown at 15 m/s from a 490 m tower. Calculate: vV, dV& dH at 1.0 s, 2.0 s, 3.0 s, & maximum vV & dH

  22. Drill: A bullet is fired horizontally at 750 m/s from a height of 4.9 m. Calculate: tair, dH, & maximum vV

  23. A ball is thrown from the ground at 20.0 m/s at an angle of 53o from horizontal. Calculate: tup, dVup, tair, & dH

  24. A 40.0 g ball is traveling in a circular path with a diameter of 10.0 cm at 25 cm/s. Calculate: ac & Fc

  25. A 2500 kg carosel with a diameter of 20.0 m spins at 6.0 revolutions per minute. Calculate: ac & Fc

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