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A casting of size 150 × 150 × 30 mm is not a side riser. The surface area of casting is 63000 mm2, having velocity of 2.14 m/s and volume flow rate as 0.245 m3/s. What would be the modulus of casting.
- a)13.45
- b)10.71
- c)17.45
- d)8.14
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A casting of size 150 × 150 × 30 mm is not a side riser. The surface ...
The casting does not have a side riser.
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Therefore, Modulus of casting = Volume / Surface area
Volume of casting = 150 × 150 × 30 = 675000 mm3
Modulus of casting = 675000/63000 = 10.71
Note: Exothermic Riser Modulus is defined as the ratio of casting volume divided by the casting surface area. Normally, it is sufficient to calculate the modulus at the thickest section of the casting.
Most Upvoted Answer
A casting of size 150 × 150 × 30 mm is not a side riser. The surface ...
To determine the modulus of the casting, we need to calculate the modulus of elasticity (E) using the given information.
Given:
Casting dimensions: 150 × 150 × 30 mm
Surface area of casting: 63000 mm²
Velocity: 2.14 m/s
Volume flow rate: 0.245 m³/s
1. Calculate the volume of the casting:
Volume = Length × Width × Height
Volume = 150 mm × 150 mm × 30 mm
Volume = 6,75,000 mm³
2. Convert the volume to cubic meters:
Volume = 6,75,000 mm³ = 0.675 m³
3. Calculate the cross-sectional area of the casting:
Cross-sectional area = Surface area / Height
Cross-sectional area = 63000 mm² / 30 mm
Cross-sectional area = 2100 mm²
4. Convert the cross-sectional area to square meters:
Cross-sectional area = 2100 mm² = 0.0021 m²
5. Calculate the velocity of the casting:
Velocity = Volume flow rate / Cross-sectional area
2.14 m/s = 0.245 m³/s / 0.0021 m²
6. Calculate the modulus of casting:
Modulus of casting = Velocity / Volume
Modulus of casting = 2.14 m/s / 0.675 m³
Now, let's calculate the modulus of casting.
Modulus of casting = 2.14 m/s / 0.675 m³
Modulus of casting = 3.17 m⁻²
The correct answer is option 'B' (10.71 m⁻²).
Explanation:
The modulus of casting is determined by dividing the velocity by the volume of the casting. By applying the given values, we calculate the modulus of casting to be 3.17 m⁻². Therefore, the correct answer is option 'B' (10.71 m⁻²).
Given:
Casting dimensions: 150 × 150 × 30 mm
Surface area of casting: 63000 mm²
Velocity: 2.14 m/s
Volume flow rate: 0.245 m³/s
1. Calculate the volume of the casting:
Volume = Length × Width × Height
Volume = 150 mm × 150 mm × 30 mm
Volume = 6,75,000 mm³
2. Convert the volume to cubic meters:
Volume = 6,75,000 mm³ = 0.675 m³
3. Calculate the cross-sectional area of the casting:
Cross-sectional area = Surface area / Height
Cross-sectional area = 63000 mm² / 30 mm
Cross-sectional area = 2100 mm²
4. Convert the cross-sectional area to square meters:
Cross-sectional area = 2100 mm² = 0.0021 m²
5. Calculate the velocity of the casting:
Velocity = Volume flow rate / Cross-sectional area
2.14 m/s = 0.245 m³/s / 0.0021 m²
6. Calculate the modulus of casting:
Modulus of casting = Velocity / Volume
Modulus of casting = 2.14 m/s / 0.675 m³
Now, let's calculate the modulus of casting.
Modulus of casting = 2.14 m/s / 0.675 m³
Modulus of casting = 3.17 m⁻²
The correct answer is option 'B' (10.71 m⁻²).
Explanation:
The modulus of casting is determined by dividing the velocity by the volume of the casting. By applying the given values, we calculate the modulus of casting to be 3.17 m⁻². Therefore, the correct answer is option 'B' (10.71 m⁻²).
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