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The Sword 88
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My physics book sucks and I can't find the equation for tension in a string, can some one tell me the equation?
What is the equation for tension in a string?
- Thread starter The Sword 88
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SUMMARY
The equation for tension in a string varies based on its characteristics. For a string that oscillates with mechanical waves, the tension is defined by the equation T = m∂²u(x,t)/∂t², where "u" represents the amplitude of the wave. In the case of a massless string hanging from a support and supporting a weight W, the tension at any point along the string is equal to W. Additionally, for a string with weight density μ supporting a weight W, the tension at a point a distance x above the weight is given by T = μx + W.
PREREQUISITES- Understanding of wave mechanics and oscillations
- Familiarity with basic physics concepts such as tension and weight
- Knowledge of mathematical notation used in physics
- Concept of weight density (μ) in physics
- Study wave propagation in strings and the derivation of wave equations
- Explore the principles of tension in different types of strings
- Learn about the effects of weight density on tension in strings
- Investigate applications of tension in real-world scenarios, such as in musical instruments
Physics students, educators, and anyone interested in understanding the mechanics of tension in strings and wave propagation.