Coincidence Calculator

To use coincidence calculator, input speed, thickness, density, and Young's modulus in required input boxes and hit calculate button

Formula:
fc =[√(3)c2 / π*d] * [√(ρ/Y)]
m/s-1
m
kg/m-3
Nm-2

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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.

Coincidence

Formula for coincidence frequency:

fc = [√(3) * c2 / π * d] * [√(ρ/Y)]

Where

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.

fc = [√(3) * c2 / π * d] * [√(ρ/Y)]

Step 3: Put the values in the above formula and simplify.

fc = [√(3) * (12)2 / π * (17)] * [√(19)/(21)]

fc = [√3 * 144 / π * (17)] * [√0.9047]

fc = [√432 /53.43] * [√0.9047]

fc = [20.78/53.43] * [√0.9047]

fc = [0.3889] * [0.9512]

fc = 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

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