What is the Tension in a String During Rotational Motion?

AI Thread Summary
The discussion centers on calculating the tension in a string during the rotational motion of an object and determining the angle for a banked curve. For the first problem, the relationship between tangential speed and angular speed is crucial, with the equation Vt = rw being highlighted. The tension in the string is not the only force acting on the object, but it is the primary focus for this calculation. The second problem involves finding the appropriate banking angle for a curve to prevent slipping at a specified speed. Understanding the dynamics of circular motion is essential for solving both problems effectively.
todd.debacker
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I have two problems I am working on, and I have no idea about either

Homework Statement



1. A 0.400-kg object is swung in a circular path and in a vertical plane on a 0.500-m-length string. If the angular speed at the bottom is 8.00rad/s, what is the tension in the string when the object is at the bottom of the circle?


2. At what angle (relative to the horizontal) should a curve 52 m in radius be banked if no friction is required to prevent the car from slipping when traveling at 12 m/s? (g-9.8m/s^2)


Homework Equations




1 . m(v^2/r)=T ??

2. ?


The Attempt at a Solution



?
 
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Well, for the first problem, you'll need to relate the objects tangential speed to its angular speed. Any idea on what equation you should use? (Hint: We're dealing with circular motion).
 
I have been attempting to use Vt=rw and then plugging that number into m(v^2/r) to give me the total force

Is the tension the only force?
 
The tension is not the only force, but it's the only force we're concerned with. If you mean "Vt" to be the tangential velocity, that's the correct equation.
 

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