Mastering physics problem regarding speed and tension

In summary, the 2.0 kg sphere shown in the figure is tied to two wires and revolves in a horizontal circle at constant speed. The tension in both wires is the same when the sphere is moving at a certain speed. To find this speed, we can use the vertical force equation to determine the vertical components of the tension, and then use the horizontal force equation to find the horizontal components of the tension. By finding the lengths of the wires, we can substitute into the horizontal force equation and equate the tensions to find the speed at which they are equal.
  • #1
hieule
5
0
Two wires are tied to the 2.0 kg sphere shown in the figure View Figure . The sphere revolves in a horizontal circle at constant speed.

For what speed is the tension the same in both wires?

What is the tension?



I reallllly need some hints to figure the first part, and the second part...thank you
 

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  • #2
hieule said:
Two wires are tied to the 2.0 kg sphere shown in the figure View Figure . The sphere revolves in a horizontal circle at constant speed.

For what speed is the tension the same in both wires?

What is the tension?
Find the vertical force on the sphere in terms of the vertical components of the tension (1).

Then write the equation (2) for the horizontal force on the sphere (in terms of [itex]\omega[/itex] and r

Then find the lengths of the wires in order to find r.

Substitute r into (2) (both tensions = T) and use T from (1) to find [itex]\omega[/itex]

AM
 
  • #3
yeah, got the answer, thanks
 

1. What is the formula for calculating speed?

The formula for calculating speed is distance divided by time, or v = d/t.

2. How is tension related to speed?

Tension is related to speed through the centripetal force equation, F = mv^2/r, where the tension in a string or rope is equal to the centripetal force required to keep an object moving in a circular path at a constant speed.

3. What is the difference between average speed and instantaneous speed?

Average speed is the total distance traveled divided by the total time taken, while instantaneous speed is the speed at a specific moment in time. Average speed gives an overall picture of an object's motion, while instantaneous speed can vary throughout the motion.

4. How does mass affect an object's speed and tension?

According to Newton's second law of motion, an object's mass is directly proportional to the force required to accelerate it. Therefore, an object with a greater mass will require more force to reach a certain speed, resulting in higher tension in the system.

5. How do you determine the direction of tension in a system?

The direction of tension in a system can be determined by drawing a free-body diagram and considering the forces acting on each object. Tension acts away from the center of a string or rope, so it will be directed outward for an object moving in a circular path and inward for an object being pulled by a string.

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