Solved University-Physics Problems

Physics 1.-  Mechanics:   Circular Motion 

Javier Montenegro Joo


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  Circular motion.-  
  (1) A 10-cm diameter frictionless disk is rotating about its axis at 1000 rpm.  Suddenly while the disk is rotating, a particle located at a distance of half radius gets released and it is triggered. Determine the shooting speed of this particle.


The angular speed of the disk is the same at any radial distance, hence the initial velocity of the released particle is:



  (2) A 120 gr ball is tied to the end of a string of 3 m which is rotating with its other end fixed to a rotating shaft. The ball describes a circular orbit and moves with an acceleration of 10 m/s2 .  When the acceleration vector makes an angle of 25o  with rope, calculate (a) radial acceleration (b) tangential acceleration (c) speed of the ball.




  (3) Two wheels whose diameters are 40 cm and 60 cm, respectively, are on the same plane and they are separated. Both wheels are connected by a belt passing around their edges. Determine the angular velocity of the larger wheel when the smaller wheel rotates at 600 rpm. Calculate the distance traveled during 7.5 min by a point of the belt.


The tangential velocity of both wheels is the same, then:








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