# 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.

## 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