Circular motion of stone and rope

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SUMMARY

A 2.00-kg stone attached to a 4m rope is whirled horizontally, completing 5 revolutions in 2 seconds. The angular speed is calculated to be 2.5 revolutions per second, which converts to approximately 15.7 radians per second. The tension in the rope can be determined using the formula for centripetal force, Fc = mv²/r, where the mass (m) is 2.00 kg and the radius (r) is 4m. The discussion clarifies that this scenario does not involve a conical pendulum, as the motion occurs on a frictionless horizontal surface.

PREREQUISITES
  • Understanding of centripetal force and acceleration
  • Knowledge of angular speed and its conversion to linear speed
  • Familiarity with the formula Fc = mv²/r
  • Basic principles of circular motion
NEXT STEPS
  • Calculate the tension in the rope using the centripetal force formula
  • Convert angular speed from revolutions per second to radians per second
  • Explore the differences between circular motion on a horizontal surface and conical pendulum motion
  • Investigate the effects of friction on circular motion dynamics
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of circular motion and centripetal force dynamics.

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1. a 2.00-kg stone attached to a rope 4m long is whirled in a circle horizontally on a frictionaless surface, completing 5 revolutions in 2s. calculate the magnitude of tension in the rope



2. delta t = 2pie root square l cost theta/g or f= 1/2pie root square g/ l cos theta



3. is the a conical pendulum question?
 
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The stone is on a frictionless surface on a horizontal table, so this is not a conical pendulum problem. There is only one force acting on it in the horizontal (centripetal)direction. What is the stone's speed and centripetal acceleration?
 
apparently there is no speed or centripetal acceleration
 
The stone is being whirled, so it must have a speed. It is given that its angular speed is 2.5 revolutions per second. You can convert that to an angular speed in radians per second, or a linear tangential speed in meters per second, and solve for the centripetal acceleration using what formula for centripetal acceleration?
 
mv^2/r
 
PhanthomJay said:
The stone is being whirled, so it must have a speed. It is given that its angular speed is 2.5 revolutions per second. You can convert that to an angular speed in radians per second, or a linear tangential speed in meters per second, and solve for the centripetal acceleration using what formula for centripetal acceleration?

lol seriously there is no speed
 
That's the formula for centripetal force : Fc =mv^2/r, where r and m are given, so you need to find v, the tangential speed of the stone.
 

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