Calculate the velocity of the travelling pulse as shown in the figure below. The linear mass density of pulse is 0.25 kg m-1. Further, compute the time taken by the travelling pulse to cover a distance of 30 cm on the string.
The tension in the string is T = m g = 1.2 × 9.8 = 11.76 N
The mass per unit length is μ = 0.25 kg m-1. Therefore, velocity of the wave pulse is
The time taken by the pulse to cover the distance of 30 cm is
ms = milli second.
Calculate the speed of sound in a steel rod whose Young’s modulus Y = 2 × 1011 N m-2 and ρ = 7800 kg m-3.
Therefore, longitudinal waves travel faster in a solid than in a liquid or a gas. Now you may understand why a shepherd checks before crossing railway track by keeping his ears on the rails to safegaurd his cattle.
An increase in pressure of 100 kPa causes a certain volume of water to decrease by 0.005% of its original volume.
(a) Calculate the bulk modulus of water?.
(b) Compute the speed of sound (compressional waves) in water?.
(a) Bulk modulus
(b) Speed of sound in water is