Solved Questions 

  1. A Body Starts from Rest and Moves with an Acceleration of 10 Rad s-2 in a Circle of Radius 5m. Find the Linear Speed of the Body After 6 s.
  2. Ans:
  3. Acceleration a = 10 rad s-2
  4. Radius r =5 m
  5. Time t = 6 s
  6. The angular velocity is given by
  7. ω = ω0 + at
  8. = 0 + 10(6)
  9. = 60 rads-1
  10. The linear speed is given by
  11. v = r ω
  12. = 5 m × 60 rad s-1
  13. v= 300 m/s.
  14. Hence, the linear speed of the given body is 300m/s. That means if the centripetal force on the body is removed, the body will continue to move in a tangential direction. 
  15. Find the Linear Speed of a Body Moving at 30 rpm in a Circular Path Having a Radius of 5 m?
  16. Ans:
  17. Given
  18. Angular velocity  = 30 rpm
  19. = 30
  20. π30�30
  21. = 1 rad/s
  22. Radius r = 2 m
  23. The linear speed is given by
  24. v = r ω
  25. v = 2 m × 1 rad/s
  26. v = 2 m/s
  27. A yoyo is Rotated by a Boy in a Radius of 5m. If the Linear or Tangential Speed of the yoyo is 6 m/s, Find the Angular Speed of the yoyo. 
  28. Ans:
  29. Given 
  30. R= 5m
  31. V=6m/s
  32. The formula for Linear Speed
  33. v = r ω
  34. ω= 
  35. vr��
  36. ω=
  37. 6565
  38. ω= 1.2

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