Bristan S.
asked • 11/12/22Please help me!
A 0.34 kg cord is stretched between two supports, 8.4 m apart. When one support is struck by a hammer, a transverse wave travels down the cord and reaches the other support in 0.83 s. What is the tension in the cord?
More
1 Expert Answer
The speed, v, of any wave on a stretched string or cord is determined by the cord's tension, T, and mass per unit length, mu. The relationship is:
v = sqrt( T / mu )
We want to find the tension so we solve this for T:
T = mu⋅v2
Now, we can calculate v from the given length of the cord, L, and time, t, that it takes the wave to traverse the length:
v = L / t
And we can calculate mu from the length of the cord and its total mass, m:
mu = m / L
From these two quantities, we arrive at
T = mL / t2 = 4.145 kg m / s2
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Anil S.
The cord mass = 0.34 kg The cord length = 8.4 m μ = mass/length = 0.34 kg/8.4 m = 0.0405 kg/m The speed of a wave on a stretched string depends on the tension in the cord = T v= √(T/μ m/s) = √(T/(0.0405)) v^2=T/(0.0405) T=0.0405 ∙v^2 The speed is also = distance travelled/time = 8.4 m/0.83s = 10.12 m/s T = 0.0405 x (10.12)2 = 4.148 N07/19/23