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Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]?
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Answer:
Given:
- Breaking stress for a material is 2*10^8.
- Density of the material=5*10^3 kg/m^3.
To find:
- Maximum length of the wire of this material can be taken so that the wire does not break by its own weight.
Solution:
- The maximum length of the wire that can be taken so that the wire does not break by its own weight depends on the weight of the wire and breaking stress of the material.
- The weight of the wire can be calculated using the formula:
- weight = volume * density * g
- where volume = pi * r^2 * l
- where r is the radius of the wire and l is the length of the wire.
- g is the acceleration due to gravity.
- The maximum length of the wire can be calculated using the formula:
- length = breaking stress * pi * r^2 / (2 * density * g)
- Substituting the given values in the above formula, we get:
- length = 2*10^8 * pi * r^2 / (2 * 5*10^3 * 9.81)
- length = 10192.05 * r^2
- Therefore, the maximum length of the wire can be taken so that the wire does not break by its own weight is directly proportional to the square of the radius of the wire.
Conclusion:
- The maximum length of the wire that can be taken so that the wire does not break by its own weight can be calculated using the formula length = 10192.05 * r^2, where r is the radius of the wire.
- Therefore, to increase the maximum length of the wire, either the radius of the wire should be increased or the density of the material should be decreased.
Given:
- Breaking stress for a material is 2*10^8.
- Density of the material=5*10^3 kg/m^3.
To find:
- Maximum length of the wire of this material can be taken so that the wire does not break by its own weight.
Solution:
- The maximum length of the wire that can be taken so that the wire does not break by its own weight depends on the weight of the wire and breaking stress of the material.
- The weight of the wire can be calculated using the formula:
- weight = volume * density * g
- where volume = pi * r^2 * l
- where r is the radius of the wire and l is the length of the wire.
- g is the acceleration due to gravity.
- The maximum length of the wire can be calculated using the formula:
- length = breaking stress * pi * r^2 / (2 * density * g)
- Substituting the given values in the above formula, we get:
- length = 2*10^8 * pi * r^2 / (2 * 5*10^3 * 9.81)
- length = 10192.05 * r^2
- Therefore, the maximum length of the wire can be taken so that the wire does not break by its own weight is directly proportional to the square of the radius of the wire.
Conclusion:
- The maximum length of the wire that can be taken so that the wire does not break by its own weight can be calculated using the formula length = 10192.05 * r^2, where r is the radius of the wire.
- Therefore, to increase the maximum length of the wire, either the radius of the wire should be increased or the density of the material should be decreased.
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Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]?
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Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]?.
Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Breaking stress for a material is 2*10^8. What is the maximum length of the wire of this material can be taken so that the wire does not break by its own weight [density of the material=5*10^3 kg\m^3]?.
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