What is the velocity ratio for creep in the belt drive system with σ1 being the stress on the tight side, σ2 being the stress on the slack side and E is Young’s modulus of elasticity of the belt material?

1
\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{d_1}}}{{{d_2}}} \times \frac{{E - \sqrt {{\sigma _2}} }}{{E - \sqrt {{\sigma _1}} }}\)
2
\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{d_1}}}{{{d_2}}} \times \frac{{E + \sqrt {{\sigma _2}} }}{{E - \sqrt {{\sigma _1}} }}\)
3
\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{d_1}}}{{{d_2}}} \times \frac{{E + \sqrt {{\sigma _2}} }}{{E + \sqrt {{\sigma _1}} }}\)
4
\(\frac{{{N_2}}}{{{N_1}}} = \frac{{{d_1}}}{{{d_2}}} \times \frac{{E - \sqrt {{\sigma _2}} }}{{E + \sqrt {{\sigma _1}} }}\)

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