Question

A strain gauge with a nominal resistance of 116 ohms is subjected to an axial strain of 4.8 millistrain. (1 millistrain= 1E-3 in/in). Due to this strain, the strain gauge resistance increases by 1.9 ohms. To within +/- 0.01, what is the gauge factor for this strain gauge?

Answer 1

3.41

Step-by-step explanation:

The gauge factor is one of the ways of measuring the strain in materials.

(Gauge factor) = (fractional change in electrical resistance)/(fractional change in length)

(Gauge factor) = (fractional change in electrical resistance)/(Strain)

Gauge factor = ?

R₀ = 116 Ω

ε = strain = (ΔL/L₀) = 4.8 millistrain = 0.0048

ΔR = 1.9 Ω

(Gauge Factor) = (1.9/116) ÷ 0.0048

(Gauge Factor) = (0.01638/0.0048)

(Gauge Factor) = 3.41

Hope this Helps!!!