Calculating Maximum Speed for Circular Motion with Tension Limit

In summary, tension is the force that keeps an object in circular motion and is transmitted through a string, rope, or cable. It is crucial in circular motion as it provides the centripetal force necessary to maintain the circular path. The tension is affected by the mass, velocity, and radius of the circular path, and it can never be zero as long as the object is in circular motion. The tension can be calculated using the formula T = mv^2/r, derived from Newton's second law.
  • #1
TG3
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Homework Statement


A 670 gm rock is whirled on the end of a string 44 cm long which will break under a tension of 24 N.
What is the highest speed the rock can be twirled before it breaks?

Homework Equations


Centripital Acceleration = velocity ^2 / radius
F=MA

The Attempt at a Solution


F = M A
24 = .67 x (V^2 / R)
24= .67 x (v^2 / .44)
7.0752 = V^2
2.6599 = V

What am I doing wrong?
 
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  • #2
TG3 said:
F = M A
24 = .67 x (V^2 / R)
24= .67 x (v^2 / .44)
7.0752 = V^2
2.6599 = V

What am I doing wrong?

That is not the value I receive. Check your calculation again.
 
  • #3
Ha ha... wow. I feel dumb now. Thanks...
 

FAQ: Calculating Maximum Speed for Circular Motion with Tension Limit

What is tension in circular motion?

Tension is the force that is transmitted through a string, rope, or cable when it is pulled tight by forces acting from opposite ends. In circular motion, tension is the force that keeps an object moving in a circular path.

How does tension affect circular motion?

Tension plays a crucial role in circular motion as it is responsible for providing the centripetal force that keeps an object moving in a circular path. Without sufficient tension, the object would move in a straight line instead of a circular path.

What factors affect the tension in circular motion?

The tension in circular motion is affected by the mass of the object, the velocity of the object, and the radius of the circular path. As these factors change, the tension also changes to maintain the circular motion.

Can the tension in circular motion ever be zero?

No, the tension in circular motion can never be zero. As long as an object is moving in a circular path, there will always be a tension force acting on it. If the tension were to become zero, the object would no longer move in a circular path and would instead move in a straight line.

How can the tension in circular motion be calculated?

The tension in circular motion can be calculated using the formula T = mv^2/r, where T is the tension, m is the mass of the object, v is the velocity, and r is the radius of the circular path. This formula is derived from Newton's second law, F = ma, where F is the net force, m is the mass, and a is the acceleration towards the center of the circle.

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