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Solved University-Physics Problems

Physics 1.-  Mechanics:   Circular Motion 

Javier Montenegro Joo

jmj@VirtualDynamicsSoft.com

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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.

Solution.-

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

 
  [01234]

 

 
  (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.

Solution.-

 
     
 

 

 
  (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.

Solution.-

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

 
  [56789]

 

 
     
     
 

 

 
 

 

 
     
     
 

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