# Two strings spinning rock- tension

• TG3
In summary, a 44 cm long string with a tension of 24 N will break. Using the Pythagorean theorem, the radius of the circle is 32.187. With a 670 gm rock tied to two of these strings, the maximum speed it can spin before the string breaks is 48 m/s. However, the problem may be conceptual and involve using sine or cosine to modify the calculation.
TG3

## Homework Statement

A string 44 cm long will break under a tension of 24 N. Two such strings are tied to a 670 gm rock, their ends 60 cm apart. The rock is spun between them. What is the maximum speed it can spin before the string breaks?
(Using pythagorean theorem, you can determine the radius of the circle is 32.187. I'll save you the hassle.)

N = m (v^2 / r)

## The Attempt at a Solution

48 =.67 x (v^2 / 32.187)
71.64 = v^2 / 32.187
2305.934 = v^2
48.020 = v

I have a suspicion that the problem is conceptual: am I supposed to use sine or cosine somewhere?

Draw the diagram of forces and you'll see that the tension in each string can be divided into two components. One component supplying the centripedal force to the stone, and one pulling on the other string.

48 =.67 x (v^2 / 32.187)
needs modification.

I can confirm that your calculations are correct and you do not need to use sine or cosine in this problem. The problem is purely a matter of understanding the relationship between tension, velocity, and radius in circular motion. The maximum speed that the rock can spin before the string breaks is indeed 48 m/s.

## 1. How does tension affect the motion of a spinning rock attached to two strings?

Tension plays a crucial role in the motion of a spinning rock attached to two strings. The level of tension in the strings determines the speed at which the rock spins, as well as the direction and stability of its motion.

## 2. What factors affect the tension in the strings?

The tension in the strings can be affected by several factors, including the length and thickness of the strings, the weight and shape of the spinning rock, and the force applied to the strings.

## 3. Can the tension in the strings be controlled or adjusted?

Yes, the tension in the strings can be controlled and adjusted by changing the length or thickness of the strings, or by applying a force to the strings. This can alter the speed and direction of the spinning rock's motion.

## 4. What happens if the tension in one string is greater than the other?

If the tension in one string is greater than the other, the spinning rock will move towards the string with the higher tension. This can cause the rock to spin in a curved or circular path, depending on the difference in tension between the two strings.

## 5. Are there any other factors that can affect the motion of a spinning rock attached to two strings?

Yes, there are other factors that can affect the motion of a spinning rock attached to two strings. These include air resistance, gravity, and the surface on which the rock is spinning. These factors can impact the speed, direction, and stability of the rock's motion.

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