The spring constant of a spring depends on its
length only
material only
length and its diameter
thickness, its diameter and its material
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CDS-2 – 2016
– For a helical spring, the spring constant is given by the formula k = (G * d⁴) / (8 * D³ * n), where G is the shear modulus of the material, d is the wire diameter (thickness), D is the coil diameter, and n is the number of active turns (related to length).
– Therefore, k depends on the material (shear modulus G), the wire thickness (d), the coil diameter (D), and the number of turns (n, which determines the overall length for a given coil diameter and pitch).
– Option D includes thickness (wire diameter), diameter (coil diameter), and material, which are the key determinants of the spring constant.