Pregunta
SEP Use Mathematics A wire with a length of 3.0 m and a cross-
sectional area of
weight. Determine Young’s modulus for the wire.
sectional area of
weight. Determine Young’s modulus for the wire.
Ask by Sherman Morgan. in Saudi Arabia
Jan 13,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Young’s modulus for the wire is approximately
Solución
To determine Young’s modulus (
Given:
- Length of the wire (
): 3.0 m - Cross-sectional area (
): - Elongation (
): 0.10 cm = 0.0010 m - Mass hanging (
): 98 kg - Acceleration due to gravity (
):
Step 1: Calculate the Force (
Step 2: Plug the Values into Young’s Modulus Formula
Final Answer:
The Young’s modulus of the wire is approximately
Expressed in Gigapascals (GPa):
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Simplifique esta solución Beyond the Answer
To determine Young’s modulus
where stress is defined as force per unit area and strain is the relative change in length.
First, calculate the force (
Next, calculate the stress:
Now, convert the stretch (
Now, calculate the strain:
Finally, plug the values into the Young’s modulus formula:
So, Young’s modulus for the wire is approximately
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