Calulating tension in a string

In summary, the question asks for the tension in a 3m string attached to a 3kg bob moving in horizontal circles with a radius of 0.6m. The only available formula is tension = mass x angular velocity squared, but this does not account for gravity or the length of the string. The circumference can be found by multiplying 0.6m by 2 and pi, but should this be multiplied by gravity? The solution involves using the cosine and sine of the angles formed by the conical pendulum, and only the mass of the object needs to be multiplied by gravity to find its weight.
  • #1
jamesy_81
4
0

Homework Statement



Calculate the tension in a 3m string attached to a 3kg bob that is moving in horizontal circles of a 0.6m radius

Homework Equations



The only formula i have been able to find is tension = mass1 w2 with w2 being the circumfance but this does not that into account gravity or the length of the string

The Attempt at a Solution



i know the circumfance is .6 x 2 x pie which is 3.7692 but should this figure be timesed by gravity? I've spent 2 hours looking for other formulas but have had no luck. Excuse the less than great english. I am not so much after an answer but a way of getting there

Thanks
 
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  • #2
Hi ,

Hints
1. Only the mass of the object needs to be multiplied by gravity to get its "weight" g = 9.81ms^2

2. You need be using COS + SIN of the angles made by the conical pendulum .
 

What is tension in a string?

Tension in a string is the force that is applied to the string in order to keep it taut or stretched. It is the pulling force that is exerted on the string.

How is tension calculated in a string?

Tension in a string can be calculated using the formula T = F * L, where T is tension, F is the applied force, and L is the length of the string. This formula assumes that the string is inelastic, meaning it does not stretch or compress.

What factors affect tension in a string?

The tension in a string can be affected by several factors, such as the length of the string, the material and thickness of the string, and the amount of force applied to the string. The type of knot or attachment used to secure the string can also affect tension.

Why is tension important to understand in science?

Tension is an important concept in science because it plays a role in many different fields, such as physics, engineering, and music. Understanding tension can help explain how objects behave under different forces and how to design structures that can withstand tension.

What are some real-world applications of calculating tension in a string?

There are many real-world applications of calculating tension in a string. For example, engineers may need to calculate tension in cables or ropes in order to design bridges or other structures. Musicians may also use tension calculations to tune stringed instruments. Additionally, understanding tension can be important in activities such as rock climbing, where it is necessary to know the tension of ropes and harnesses for safety.

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