Calculating Tension in a Stretched String Using Wave Speed

In summary, the problem involves finding the tension applied to a string with a linear density of 0.00500 kg/m that is stretched to produce a wave speed of 85 m/s. The formula used is v=√(F/(m/L)), and the tension can be found by solving for F using algebra.
  • #1
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Homework Statement



A string whose linear density is 0.00500 kg/m is stretched to produce a wave speed of 85 m/s. What tension was applied to the string.

Homework Equations



v=√(F/(m/L))


The Attempt at a Solution



v=0.00500 kg/m m/L= 85 m/s

I can't seem to re-arrange the equation properly or I am just using the wrong one to begin with.
 
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  • #2
Before plugging in any numbers, use algebra to solve the v=√(F/(m/L)) formula for the tension F. [And it might help to treat the linear density (m/L) as its own variable. I'd call it μ, or maybe λ.]
 
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Related to Calculating Tension in a Stretched String Using Wave Speed

1. What are mechanical waves?

Mechanical waves are a type of wave that requires a medium for propagation. They are produced due to the vibration of particles in the medium and transfer energy from one point to another without physically moving the particles themselves.

2. How are mechanical waves different from electromagnetic waves?

Mechanical waves require a medium for propagation, while electromagnetic waves do not. Mechanical waves also transfer energy by causing the particles in the medium to vibrate, while electromagnetic waves transfer energy through oscillations of electric and magnetic fields.

3. What is tension in relation to mechanical waves?

Tension is the force that is applied to a medium in order to produce mechanical waves. It is the force that creates the vibration of particles in the medium, causing the wave to propagate.

4. How does tension affect the speed of mechanical waves?

The tension of a medium affects the speed of mechanical waves by determining the stiffness of the medium. A higher tension results in a stiffer medium, which increases the speed of the wave. A lower tension results in a softer medium, which decreases the speed of the wave.

5. Can mechanical waves be reflected and refracted?

Yes, mechanical waves can be reflected and refracted when they encounter a boundary between two different mediums. The angle of reflection and refraction depends on the angle of incidence and the properties of the two mediums, such as their density and elasticity.

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