Nonlinear line of weakness formed by a perforating apparatus

1. A web comprising:

a sinusoidal-shaped line of weakness comprising at least two wavelengths, the sinusoidal-shaped line of weakness comprising a plurality of perforations, wherein each of the plurality of perforations is separated by a bond area, and

wherein each of the plurality of perforations has a perforation length and each bond area has a non-perforation length,

wherein at least two of the non-perforation lengths are unequal and at least two of the perforation lengths are unequal,

wherein the sinusoidal-shaped line of weakness has a peak force to tear of less than 840 grams, as measured according to the Tensile Strength Test Method,

wherein each of the wavelengths comprises a crest and a trough, and

wherein the perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths, and

wherein the non-perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths.

2. The web of claim 1 , wherein the sinusoidal-shaped line of weakness has a peak force to tear of at least 377 grams and less than 840 grams, as measured according to the Tensile Strength Test Method.

3. The web of claim 1 , wherein the sinusoidal-shaped line of weakness has a failure total energy absorbed (TEA) of less than 89.1 grams*inch/inch.

4. The web of claim 3 , wherein the sinusoidal-shaped line of weakness has a failure total energy absorbed (TEA) of at least 21.1 grams*inch/inch and less than 89.1 grams*inch/inch.

5. The web of claim 1 , wherein the sinusoidal-shaped line of weakness has a wavelength of between 0.90 inches and 1.94 inches.

6. The web of claim 1 , wherein the web has multiple sinusoidal-shaped lines of weakness and the wavelengths of each sinusoidal-shaped line of weakness have an amplitude of less than about 50% of the distance between adjacent sinusoidal-shaped lines of weakness.

7. The web of claim 1 , wherein the perforation lengths are between 0.032 inches and 0.106 inches.

8. A web comprising:

a curvilinear line of weakness comprising at least two wavelengths, the curvilinear line of weakness comprising a plurality of perforations, wherein each of the plurality of perforations is separated by a bond area, and

wherein each of the plurality of perforations has a perforation length and each bond area has a non-perforation length,

wherein at least two of the non-perforation lengths are unequal and at least two of the perforation lengths are unequal,

wherein the curvilinear line of weakness has a peak force to tear of less than 840 grams, as measured according to the Tensile Strength Test Method,

wherein each of the wavelengths comprises a crest and a trough, and

wherein the perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths, and

wherein the non-perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths.

9. The web of claim 8 , wherein the curvilinear line of weakness has a peak force to tear of at least 377 grams and less than 840 grams, as measured according to the Tensile Strength Test Method.

10. The web of claim 8 , wherein the curvilinear line of weakness has a failure total energy absorbed (TEA) of less than 89.1 grams*inch/inch.

11. The web of claim 10 , wherein the curvilinear line of weakness has a failure total energy absorbed (TEA) of at least 21.1 grams*inch/inch and less than 89.1 grams*inch/inch.

12. The web of claim 8 , wherein the curvilinear line of weakness has a wavelength of between 0.90 inches and 1.94 inches.

13. The web of claim 8 , wherein the web has multiple curvilinear lines of weakness and the wavelengths of each curvilinear line of weakness have an amplitude of less than about 50% of the distance between adjacent curvilinear lines of weakness.

14. The web of claim 8 , wherein the perforation lengths are between 0.032 inches and 0.106 inches.

15. A web comprising:

a curvilinear line of weakness comprising at least two wavelengths, the curvilinear line of weakness comprising a plurality of perforations, wherein each of the plurality of perforations is separated by a bond area, and

wherein each of the plurality of perforations has a perforation length and each bond area has a non-perforation length,

wherein each of the wavelengths comprises a crest and a trough, and

wherein the perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths,

wherein the non-perforation lengths are substantially the same length at the crests and the troughs of the wavelengths and a different length between the crests and the troughs of the wavelengths, and

wherein the curvilinear line of weakness has a failure total energy absorbed (TEA) of less than 89.1 grams*inch/inch.

16. The web of claim 15 , wherein the curvilinear line of weakness has a peak force to tear of at least 377 grams and less than 840 grams as measured according to the Tensile Strength Test Method.

17. The web of claim 15 , wherein the curvilinear line of weakness has a wavelength of between 0.90 inches and 1.94 inches.

18. The web of claim 15 , wherein the web has multiple curvilinear lines of weakness and the wavelengths of each curvilinear line of weakness have an amplitude of less than about 50% of the distance between adjacent curvilinear lines of weakness.

19. The web of claim 15 , wherein the perforation lengths are between 0.032 inches and 0.106 inches.