A close-coiled helical spring has a stiffness of 10 N/mm. Its length w

1.	A close-coiled helical spring has a stiffness of 10 N/mm. Its length when fully compressed,with adjacent coils touching each other is 40 cm. The modulus of rigidity of the materialof the spring is 0.8x10 N/mm²(i) Determine the wire diameter and mean coil diameter if their ratio is 1/10.
Answer» The VALUE of diameter is 20 cm Explanation: We are GIVEN that: Stiffness of coil = 10 N/mm Length of coil = 40 cm Modulus of rigidity of the material of the SPRING = 0.8x10 N/mm² To Find: Diameter of WIRE = ? Solution: Now d / D = 1 /10 Length of solid = n x d 400 = n x d n = 400 / d Now d^2 = 0.4 d^2 = 0.4 x 10^3 = 400 d = √400 = 20 mm = 2 cm D = 10 x 2 = 20 cm Thus the value of diameter is 20 cm

A close-coiled helical spring has a stiffness of 10 N/mm. Its length when fully compressed,with adjacent coils touching each other is 40 cm. The modulus of rigidity of the materialof the spring is 0.8x10 N/mm²(i) Determine the wire diameter and mean coil diameter if their ratio is 1/10.

Answer»

The VALUE of diameter is 20 cm

Explanation:

We are GIVEN that:
Stiffness of coil = 10 N/mm
Length of coil = 40 cm
Modulus of rigidity of the material of the SPRING = 0.8x10 N/mm²
To Find: Diameter of WIRE = ?

Solution:

Now

d / D = 1 /10

Length of solid = n x d

400 = n x d

n = 400 / d

Now d^2 = 0.4

d^2 = 0.4 x 10^3 = 400

d = √400 = 20 mm = 2 cm

D = 10 x 2 = 20 cm

Thus the value of diameter is 20 cm

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A close-coiled helical spring has a stiffness of 10 N/mm. Its length when fully compressed,with adjacent coils touching each other is 40 cm. The modulus of rigidity of the materialof the spring is 0.8x10 N/mm²(i) Determine the wire diameter and mean coil diameter if their ratio is 1/10.​

The VALUE of diameter is 20 cm

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A close-coiled helical spring has a stiffness of 10 N/mm. Its length when fully compressed,with adjacent coils touching each other is 40 cm. The modulus of rigidity of the materialof the spring is 0.8x10 N/mm²(i) Determine the wire diameter and mean coil diameter if their ratio is 1/10.