Calculate frequency of a tuning fork by using simple tuning fork calculator from the user inputs online.
A tuning fork is an acoustic resonator in the form of a two-pronged fork with the prongs (tines) formed from a U-shaped bar of elastic metal (usually steel). It resonates at a specific constant pitch when set vibrating by striking it against a surface or with an object, and emits a pure musical tone once the high overtones have died out. The pitch that a particular tuning fork generates depends on the length and mass of the two prongs. It is frequently used as a standard of pitch to tune musical instruments.
Formula:
where,
f = frequency the fork vibrates
1.875 = smallest positive solution of cos(x)cosh(x) = −1
l = length of the prongs
E = Young's modulus of the material the fork is made from
I = second moment of area of the cross-section to the fourth power
ρ = density of the material the fork is made from
A = cross-sectional area of the prongs (tines)
f = frequency the fork vibrates
1.875 = smallest positive solution of cos(x)cosh(x) = −1
l = length of the prongs
E = Young's modulus of the material the fork is made from
I = second moment of area of the cross-section to the fourth power
ρ = density of the material the fork is made from
A = cross-sectional area of the prongs (tines)