Question

9. A wire of length 1m and diameter 10-2 m is fixed at one end and twisted at the other end through an angle of 70˚ by applying a couple of value 0.01 Nm. Evaluate the rigidity modulus of the wire.

Answer 1

Given:

l = 1m

diameter = $10^-^2$m

angle = 70°

value of couple = 0.01Nm

To Find:

Rigidity Modulus

Solution:

Φ ≈ tanΦ = $\frac{r\theta}{l}$

    ≈ $\frac{6\cdot 10^-^3\cdot30^0}{1}$

    ≈ $(180\cdot 10^-^3)^{0}$

    ≈ 0.18°