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Welding of C40 steel plate of 10 mm thickness required a current of 150 amps, while it was 350 amps when the plate thickness was increased by 50%. Estimate the welding current for 8.25 mm thickness of same material.
- a)80 A
- b)90 A
- c)75 A
- d)95 A
Correct answer is option 'A'. Can you explain this answer?
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Welding of C40 steel plate of 10 mm thickness required a current of 15...
Given,
Current required for 10 mm thick plate =150 amps
Current required for 15mm thick plate = 350 amps
Current required for 10 mm thick plate =150 amps
Current required for 15mm thick plate = 350 amps
Most Upvoted Answer
Welding of C40 steel plate of 10 mm thickness required a current of 15...
As current is directly proportional to thickness,use
I=At +B
substitute I and t to calculate A and B ,then for 8.25mm thickness calculate I
I=At +B
substitute I and t to calculate A and B ,then for 8.25mm thickness calculate I
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Welding of C40 steel plate of 10 mm thickness required a current of 15...
To estimate the welding current for an 8.25 mm thickness of C40 steel plate, we can use the relationship between current and plate thickness provided in the question.
Given data:
- Current for welding a 10 mm thickness plate = 150 amps
- Current for welding a 10 mm + 50% thickness plate = 350 amps
Let's calculate the percentage change in current when the plate thickness is increased by 50%:
Percentage change in current = ((New value - Old value) / Old value) * 100
Using this formula, we can calculate the percentage change in current:
Percentage change in current = ((350 - 150) / 150) * 100
= (200 / 150) * 100
= 133.33%
This means that the current increases by 133.33% when the plate thickness is increased by 50%.
Now, let's calculate the welding current for an 8.25 mm thickness plate:
Step 1: Calculate the percentage change in thickness from 10 mm to 8.25 mm:
Percentage change in thickness = ((New value - Old value) / Old value) * 100
Percentage change in thickness = ((8.25 - 10) / 10) * 100
= (-1.75 / 10) * 100
= -17.5%
This means that the thickness decreases by 17.5% when going from 10 mm to 8.25 mm.
Step 2: Use the percentage change in current and thickness to estimate the welding current for 8.25 mm thickness:
Estimated welding current = Current for 10 mm thickness * (1 + (Percentage change in current / 100)) * (1 + (Percentage change in thickness / 100))
Estimated welding current = 150 * (1 + (133.33 / 100)) * (1 + (-17.5 / 100))
= 150 * (1 + 1.3333) * (1 - 0.175)
= 150 * 2.3333 * 0.825
≈ 290.33 amps
Therefore, the estimated welding current for an 8.25 mm thickness of C40 steel plate is approximately 290.33 amps.
However, none of the given options match this value. So, there seems to be an error in the provided answer options.
Given data:
- Current for welding a 10 mm thickness plate = 150 amps
- Current for welding a 10 mm + 50% thickness plate = 350 amps
Let's calculate the percentage change in current when the plate thickness is increased by 50%:
Percentage change in current = ((New value - Old value) / Old value) * 100
Using this formula, we can calculate the percentage change in current:
Percentage change in current = ((350 - 150) / 150) * 100
= (200 / 150) * 100
= 133.33%
This means that the current increases by 133.33% when the plate thickness is increased by 50%.
Now, let's calculate the welding current for an 8.25 mm thickness plate:
Step 1: Calculate the percentage change in thickness from 10 mm to 8.25 mm:
Percentage change in thickness = ((New value - Old value) / Old value) * 100
Percentage change in thickness = ((8.25 - 10) / 10) * 100
= (-1.75 / 10) * 100
= -17.5%
This means that the thickness decreases by 17.5% when going from 10 mm to 8.25 mm.
Step 2: Use the percentage change in current and thickness to estimate the welding current for 8.25 mm thickness:
Estimated welding current = Current for 10 mm thickness * (1 + (Percentage change in current / 100)) * (1 + (Percentage change in thickness / 100))
Estimated welding current = 150 * (1 + (133.33 / 100)) * (1 + (-17.5 / 100))
= 150 * (1 + 1.3333) * (1 - 0.175)
= 150 * 2.3333 * 0.825
≈ 290.33 amps
Therefore, the estimated welding current for an 8.25 mm thickness of C40 steel plate is approximately 290.33 amps.
However, none of the given options match this value. So, there seems to be an error in the provided answer options.
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Welding of C40 steel plate of 10 mm thickness required a current of 150 amps, while it was 350 amps when the plate thickness was increased by 50%. Estimate the welding current for 8.25 mm thickness of same material.a)80 Ab)90 Ac)75 Ad)95 ACorrect answer is option 'A'. Can you explain this answer?
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