Calculating Velocity with Bulk Modulus and Modulus of Rigidity

Click For Summary
The discussion focuses on the formula for calculating velocity in a material using bulk modulus (B) and modulus of rigidity (n), expressed as velocity = √((B + (4n/3)) / density). Participants suggest expressing both the bulk modulus and modulus of rigidity in terms of Young's modulus and Poisson's ratio, particularly under the assumption that Poisson's ratio is zero. This approach aims to simplify the relationship between these elastic moduli and the velocity of wave propagation in materials. The conversation emphasizes the mathematical derivation and theoretical implications of these relationships in material science. Understanding these concepts is crucial for applications in engineering and physics.
sadhu
Messages
155
Reaction score
0
proof of
velocity =\sqrt{\frac{B+\frac{4*n}{3}}{density}}

B bulk modulus
n modulus of rigidity
 
Last edited:
Physics news on Phys.org
Are you announcing one or asking for one? Try expressing the bulk modulus and modulus of rigidity in terms of Young's modulus and Poisson's ratio, and assume the Poisson's ratio is zero.
 
Last edited:

Thread 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
View full post »

Similar threads

I want to understand this equation - Fluid Mechanics
  • · Replies 3 ·
Replies
3
Views
2K
What is the relationship between surface area and bulk modulus in a collision?
  • · Replies 1 ·
Replies
1
Views
1K
Bulk Modulus and the speed of sound
  • · Replies 1 ·
Replies
1
Views
4K
Understanding Sound and Bulk Modulus: Formula, Interplay, and Phase Dependence
  • · Replies 1 ·
Replies
1
Views
3K
Finding the modulus and argument of ##\dfrac{a}{(b±ci)^n}##
  • · Replies 17 ·
Replies
17
Views
2K
Maths for Sound passing through different mediums
  • · Replies 10 ·
Replies
10
Views
2K
How to calculate Young's Modulus for flat spring
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Modulo and Modulus in math and computer programming
  • · Replies 5 ·
Replies
5
Views
3K
Confusion Calculating Young's Modulus
  • · Replies 5 ·
Replies
5
Views
2K
Why Is My Argument Calculation for Complex Number Incorrect?
  • · Replies 14 ·
Replies
14
Views
2K