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Coincidence Calculator
To use coincidence calculator, input speed, thickness, density, & young's modulus in required input boxes and hit calculate button
Coincidence Calculator
Coincidence calculator is used to calculate the chance of an occurrence of two or more events by finding their critical frequencies.
What are the Critical frequencies?
Critical frequencies occur when two or more frequencies are close together to produce a perceptible tone and are heard in the variation in loudness or pitch of a sound.
Formula for coincidence frequency:
Critical frequency = f_{c} = [√(3)*c^{2} / π*d] * [√(ρ/Y)]
- c = Speed of sound
- d =Thickness of panel
- ρ = Density of panel
- Y = Young's modulus
How to find coincidence?
Example 1:
Find the critical frequency while the data are given below.
Speed of sound =12, Thickness of panel = 17, Density of panel = 19, Young's modulus = 21
Solution:
Step 1: Write the given data.
c = Speed of sound =12, ρ = Density of panel = 19,
d = Thickness of panel = 17, Y = Young's modulus = 21
Step 2: Write the formula of critical frequency.
f_{c} = [√(3)*c^{2} / π*d] * [√(ρ/Y)]
Step 3: Put the values in the above formula and simplify.
c = 12, ρ = 19, d = 17, Y = 21
f_{c} = [√(3)*c^{2} / π*d] * [√(ρ/Y)]
f_{c} = [√(3)*(12)^{2} / π*(17)] * [√(19)/(21)]
f_{c} = [√3*144 / π*(17)] * [√0.9047]
f_{c} = [√432 /53.43] * [√0.9047]
f_{c} = [20.78/53.43] * [√0.9047]
f_{c} = [0.3889] * [0.9512]
f_{c} = 0.95119 (hz)
Table Section
Here are a few other results in the below table.
Speed of sound (m/s^{-1}) | Thickness of panel (m) | Density of panel (kg/m^{-3}) | Young's modulus (Nm^{-2}) | Critical frequency (hz) |
13 | 19 | 11 | 30 | 0.60553 |
25 | 32 | 35 | 45 | 0.88192 |
35 | 42 | 63 | 75 | 0.91652 |
128 | 142 | 136 | 100 | 1.1662 |
227 | 238 | 300 | 600 | 0.70711 |