Circular motion of stone and rope

In summary, a 2.00-kg stone attached to a rope 4m long is being whirled in a circle on a frictionless surface, completing 5 revolutions in 2s. The formula for calculating the magnitude of tension in the rope is delta t = 2pie root square l cost theta/g or f= 1/2pie root square g/ l cos theta. This is not a conical pendulum problem as there is only one force acting on the stone in the horizontal direction. The stone must have a speed as it is being whirled, and its angular speed is given as 2.5 revolutions per second. Using the formula Fc = mv^2/r, you can solve
  • #1
jasonbans
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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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  • #2
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?
 
  • #3
apparently there is no speed or centripetal acceleration
 
  • #4
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?
 
  • #5
mv^2/r
 
  • #6
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
 
  • #7
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.
 

FAQ: Circular motion of stone and rope

1. What is circular motion of stone and rope?

Circular motion of stone and rope refers to the movement of a stone attached to a rope that is being swung around in a circular path.

2. What causes the stone and rope to move in a circular motion?

The circular motion is caused by the force of the rope pulling on the stone and keeping it in a circular path around the center point of rotation.

3. How does friction affect the circular motion of stone and rope?

Friction between the rope and the stone can cause the stone to slow down and eventually stop if the rope is not being continuously pulled. However, friction also helps to maintain the circular motion by providing the necessary centripetal force.

4. What factors affect the speed of the stone in circular motion?

The speed of the stone in circular motion is affected by the length of the rope, the force applied to the rope, and the mass of the stone. The longer the rope or the greater the force, the faster the stone will move. A heavier stone will require more force to maintain the same speed as a lighter stone.

5. Can the stone and rope move in a perfect circle?

In theory, yes, the stone and rope can move in a perfect circle if there is no external force acting on it and the rope is being pulled at a constant force. However, in reality, it is difficult to maintain a perfect circular motion due to friction and other external forces.

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