What is claimed is: 1. A method for determining at least one resonant frequency of vibration of a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: (a) applying an electrical excitation signal having a first frequency to the at least one wire coil of the electromagnetic acoustic transducer; (b) inducing a single mode of vibration in the cylindrical object in response to the electrical excitation signal; (c) sensing an impedance of the at least one wire coil of the electromagnetic acoustic transducer; (d) determining at least one resonant frequency of the cylindrical object based on the sensed impedance. 2. The method of claim 1, wherein the at least one wire coil comprises a plurality of wire coils and wherein the excitation signal is applied to a first wire coil of the electromagnetic acoustic transducer and the impedance is sensed on a second wire coil of the electromagnetic acoustic transducer, and wherein the sensed impedance is an impedance transfer function between the first wire coil and the second wire coil. 3. The method of claim 1, further comprising the step of determining frequencies of electrical excitation signals at which one of the real part of the sensed impedance and the imaginary part of the sensed impedance of the at least one wire coil experiences relatively large amplitude variations. 4. A method for measuring physical properties of a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial ode vibrations and plane strain mode vibrations in the cylindrical object, the method of comprising the steps of: determining the relationship between a resonant frequency of a cylindrical object and a physical property of the cylindrical object; determining a resonant frequency of the cylindrical object using an electromagnetic acoustic transducer; determining a physical property of the cylindrical object based on the determined resonant frequency and the relationship. 5. A method for measuring physical properties of a sample cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing axial shear mode vibrations in the cylindrical object, the method of comprising the steps of: determining frequencies at which the sample cylindrical object experiences resonant axial shear vibrations; determining frequencies at which a highly cylindrical, isotropic cylindrical object formed of the same material and having substantially the same dimension as the sample cylindrical object experiences resonant axial shear vibrations; calculating at least one ratio between the frequencies at which the sample cylindrical object experiences resonant axial shear vibrations and the frequencies at which a highly cylindrical, isotropic cylindrical object formed of the same material and having substantially the same dimension experiences resonant axial shear vibrations; and determining physical properties of the sample cylindrical object based on the determined resonant frequencies and the calculated at least one ratio. 6. The method of claim 5, comprising the further steps of: averaging the calculated at least one ratio; and determining the distance from the exterior surface of the cylindrical object at which physical properties of the sample cylindrical object undergo a change based on the average. 7. A method for measuring physical properties of a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: applying an electrical excitation signal to the at least one wire coil of the electromagnetic acoustic transducer; inducing the cylindrical object to vibrate in a single vibrational mode at a resonant frequency; removing the electrical excitation from the at least one wire coil; measuring a time constant of decay of free vibrations of the cylindrical object after removing of the electrical excitation signal; and determining physical properties of the cylindrical object based on the time constant of decay of free vibrations. 8. The method of claim 7, further comprising the step of determining the damping coefficient of the cylindrical object based on the measured time constant of decay of free vibrations. 9. A method for measuring a magnitude of loading applied to a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: determining a relationship between a resonant frequency for one mode of vibration of the cylindrical object and the magnitude of the loading applied to the cylindrical object; applying a load to the cylindrical object; determining the resonant frequency of the loaded cylindrical object for said one mode of vibration using the electromagnetic acoustic transducer; determining the magnitude of the loading applied to the cylindrical object based on the determined resonant frequency and the determined relationship. 10. A method for determining a magnitude of a load applied to a cylindrical object using at least two electromagnetic acoustic transducers, each of the at least two electromagnetic acoustic transducers having at least one wire coil and inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: determining at least one frequency at which the cylindrical object experiences resonance in a first mode of vibration when no load is applied using a first electromagnetic acoustic transducer; determining at least one frequency at which the cylindrical object experiences resonance in a second mode of vibration when no load is applied using a second electromagnetic acoustic transducer; applying the load to the cylindrical object; determining at least one frequency at which the cylindrical object experiences resonance in the first mode of vibration when the load is applied using the first electromagnetic acoustic transducer; determining at least one frequency at which the cylindrical object experiences resonance in the second mode of vibration when the load is applied using the second electromagnetic acoustic transducer; determining a first ratio of the at least one determined resonant frequency for the first mode of vibration to the at least one determined resonant frequency for the second mode of vibration for the cylindrical object when no load is applied; determining a second ratio of the at least one determined resonant frequency for the first mode of vibration to the at least one determined resonant frequency for the second mode of vibration for the cylindrical object when the load is applied; comparing the first ratio to the second ratio; and determining a magnitude of the load placed on the cylindrical object based on the comparison. 11. The method of claim 10, wherein the steps of determining the at least one resonant frequency for the first and second modes of vibration for the cylindrical object further comprise the steps of: (a) applying an electrical excitation signal having a first frequency to the at least one wire coil of the at least two electromagnetic acoustic transducers; (b) inducing a single mode of vibration in the cylindrical object in response to the excitation signal; (c) sensing an impedance of the at least one wire coil of the electromagnetic acoustic transducer; (d) repeating steps (a)-(c) for at least one additional excitation signal having a different frequency; and (e) determining at least one resonant frequency of the cylindrical object based on the sensed impedance. 12. The method of claim 11, wherein the steps of determining the at least one resonant frequency for the first and second modes of vibration for the cylindrical object comprise the further step of determining the frequencies of the excitation signals causing one of the real and the imaginary parts of the sensed impedance of the at least one wire coil of the at least two electromagnetic acoustic transducers to experience a relatively large change. 13. The method of claim 10 wherein the step of applying the load to the cylindrical object comprises applying one of an axial compressive force, and an axial tensile force to the cylindrical object. 14. The method of claim 10 wherein the cylindrical object is a tube and the step of applying the load to the cylindrical object comprises applying a pressure to the inside of the tube. 15. A method for measuring an internal texture of the material of a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: (a) determining a first resonant frequency of vibration for the cylindrical object with the electromagnetic acoustic transducer; (b) recording an amplitude of an electrical response signal induced in the at least one wire coil of the electromagnetic acoustic transducer when the cylindrical object vibrates at the first resonant frequency; (c) determining a second resonant frequency of vibration for the cylindrical object with the electromagnetic acoustic transducer, the second resonant frequency being relatively closely spaced from the first resonant frequency in the frequency spectrum; (d) recording an amplitude of an electrical response signal induced in the at least one wire coil of the electromagnetic acoustic transducer when the cylindrical object vibrates at the second resonant frequency; (e) rotating the cylindrical object; (f) repeating steps (a)-(d); (g) determining the internal texture of the material of the cylindrical object based on the amplitudes of the response signals induced in the at least one wire coil of the electromagnetic acoustic transducer. 16. The method of claim 15, further comprising the steps of: determining a first difference between the amplitudes of the response signals induced in the at least one wire coil when the cylindrical object is vibrating at the first resonant frequency in a first rotational position and a second rotational position; determining a second difference between the amplitudes of the response signals induced in the at least one wire coil when the cylindrical object is vibrating at the second resonant frequency in a first rotational position and a second rotational position; and determining the internal texture of the material of the cylindrical object based on the determined first and second differences. 17. The method of claim 15, wherein the at least one wire coil comprises first and second wire coils and wherein the electrical excitation signal is applied to the first wire coil of the electromagnetic acoustic transducer and the impedance is sensed for the second wire coil of the electromagnetic acoustic transducer. 18. The method of claim 17, wherein the steps of determining the at least one resonant frequency for the first and second modes of vibration for the cylindrical object further comprise the steps of: (a) applying an electrical excitation signal having a first frequency to the at least one wire coil of the at least two electromagnetic acoustic transducers; (b) inducing a single mode of vibration in the cylindrical object in response to the excitation signal; (c) removing the electrical excitation signal from the at least one wire coil; (d) sensing an electrical response signal induced in the at least one wire coil by vibrations occurring in the cylindrical object after the excitation signal is removed; and (e) determining at least one frequency at which the cylindrical object experiences resonance in the induced mode of vibration. 19. The method of claim 18, wherein the steps of determining the at least one resonant frequency for the first and second modes of vibration for the cylindrical object comprise the further step of determining the frequencies of electrical excitation signals that cause vibrations in the cylindrical object that induces relatively large amplitude response signals in the at least one wire coil of the at least two electromagnetic transducers. 20. A method for determining at least one resonant frequency of vibration of a cylindrical object using an electromagnetic acoustic transducer having at least one wire coil, the electromagnetic acoustic transducer inducing one of axial shear mode vibrations, torsional mode vibrations, radial mode vibrations, and plane strain mode vibrations in the cylindrical object, the method comprising the steps of: (a) applying an electrical excitation signal having a first frequency to the at least one wire could of the electromagnetic acoustic transducer; (b) inducing a single mode of vibration in the cylindrical object in response to the electrical excitation signal; (c) removing the electrical excitation signal from the at least one wire coil; (d) sensing an electrical response signal induced in the at least one wire coil of the electromagnetic acoustic transducer by vibrations in the cylindrical object occurring after the electrical excitation signal is removed; and (e) determining, based on the response signal, at least one frequency at which the cylindrical body experiences resonant vibrations in the induced mode of vibration. 21. The method of claim 20, comprising the further step of determining the frequencies of electrical excitation signals that cause vibrations in the cylindrical object inducing relatively large amplitude response signals in the at least one wire coil of the electromagnetic acoustic transducer.