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What is the bulk modulus of a material if a pressure increase of 50 MPa results
Practice Questions
Q1
What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)
2500 MPa
500 MPa
1000 MPa
2000 MPa
Questions & Step-by-Step Solutions
What is the bulk modulus of a material if a pressure increase of 50 MPa results in a volume decrease of 0.02 m³ for a volume of 1 m³? (2022)
Steps
Concepts
Step 1: Understand the formula for bulk modulus (K), which is K = -ΔP / (ΔV/V).
Step 2: Identify the change in pressure (ΔP). In this case, ΔP = 50 MPa.
Step 3: Identify the change in volume (ΔV). Here, ΔV = 0.02 m³.
Step 4: Identify the original volume (V). The original volume is V = 1 m³.
Step 5: Calculate the ratio of the change in volume to the original volume (ΔV/V). This is 0.02 m³ / 1 m³ = 0.02.
Step 6: Substitute the values into the bulk modulus formula: K = -50 MPa / 0.02.
Step 7: Perform the calculation: K = 50 MPa / 0.02 = 2500 MPa.
No concepts available.
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