Question

Two helical tensile springs of the same material and also having identical mean coil diameter and weight, have wire diameters d and The ratio of their stiffness is (a) 1 (b) 4 (C) 64 (d) 128

Answer 1

the retio of their stiffeness is 64

Answer 2

Dear Student,

◆ Answer +

(C) 64

● Explanation -

Stiffness of two tensile springs is directly proportional to 6th power of diameter when weight is constant.

k1/k2 = (d/d')^6

k1/k2 = d^6 / (d/2)^6

k1/k2 = d^6 / (d^6/64)

k1/k2 = 64

Hence, ratio of stiffness of two helical tensile springs of the same material is 64.

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