Find tension required for wave speed?? PLEASE NEED FOR FINAL EXAM ON MONDAY?
14-38) The speed of a transverse wave on a string is 14 m/s when the tension is 4.0 N. What tension is required for the wave speed along the string to be 17 m/s? Answer in Newtons.
- AlgolLv 710 years agoFavorite Answer
You need the linear density of the string:
v = √[F/μ]
μ = F₁/v₁²
Then, force in the second case is:
F₂ = μv²
Hope this helps.
- 10 years ago
The equation for calculating the speed of a wave on a string is:
speed = sqrt ( tension/density)
First calculate the density given the known speed and tension:
(speed * speed) = tension/density
density = tension/(speed * speed)
density = 4.0 / (14*14)
density = 0.020408 kg/m
Now we can solve for the tension required for a wave speed of 17 m/s:
tension = (speed * speed) * density
tension = (17*17) * 0.020408
tension = 5.897912 N
- MichelleLv 44 years ago
I've got so much coursework for Monday and I'm here procrastinating. :)
- SteveLv 710 years ago
u = √[T/µ] → T = u²*µ and T2/T1 = [u2²/u1²]*µ = µ*[17/14]² → T2 = 5.898 NSource(s): University Physics, Sears & Zemansky, 1955
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- MomPersonLv 610 years ago