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In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.
- a)273
- b)274
Correct answer is between ' 273, 274'. Can you explain this answer?
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Verified Answer
In sand casting of hollow part of zinc, a cylindrical core of diamete...
Upward force buoyancy force weight of molten metal displaced
Downward force weight of core
D = density of core
= dvg
Net force upward force – downward force
= 273.441 N
Most Upvoted Answer
In sand casting of hollow part of zinc, a cylindrical core of diamete...
Given data:
- Diameter of cylindrical core (D) = 130 mm = 0.13 m
- Height of cylindrical core (H) = 200 mm = 0.2 m
- Density of core material (ρc) = 1500 kg/m³
- Density of zinc (ρz) = 12000 kg/m³
Calculating the volume of the cylindrical core:
The volume of a cylinder is given by the formula:
Vc = π * (D/2)² * H
Substituting the given values:
Vc = π * (0.13/2)² * 0.2
Vc ≈ 0.01681 m³
Calculating the weight of the core:
The weight of an object is given by the formula:
Wc = Vc * ρc * g
Where g is the acceleration due to gravity (≈ 9.8 m/s²).
Substituting the given values:
Wc = 0.01681 * 1500 * 9.8
Wc ≈ 248.843 N
Calculating the weight of the displaced zinc:
The volume of the displaced zinc will be equal to the volume of the cylindrical core.
Vz = Vc ≈ 0.01681 m³
The weight of the displaced zinc is given by the formula:
Wz = Vz * ρz * g
Substituting the given values:
Wz = 0.01681 * 12000 * 9.8
Wz ≈ 1971.168 N
Calculating the net force:
The net force that tends to lift the core is given by the difference between the weight of the core and the weight of the displaced zinc.
Net force = Wc - Wz
Net force ≈ 248.843 - 1971.168
Net force ≈ -1722.325 N
The negative sign indicates that the force is acting in the opposite direction, i.e., it tends to lift the core.
Conclusion:
The net force that tends to lift the core during pouring of molten metal is approximately -1722.325 N.
- Diameter of cylindrical core (D) = 130 mm = 0.13 m
- Height of cylindrical core (H) = 200 mm = 0.2 m
- Density of core material (ρc) = 1500 kg/m³
- Density of zinc (ρz) = 12000 kg/m³
Calculating the volume of the cylindrical core:
The volume of a cylinder is given by the formula:
Vc = π * (D/2)² * H
Substituting the given values:
Vc = π * (0.13/2)² * 0.2
Vc ≈ 0.01681 m³
Calculating the weight of the core:
The weight of an object is given by the formula:
Wc = Vc * ρc * g
Where g is the acceleration due to gravity (≈ 9.8 m/s²).
Substituting the given values:
Wc = 0.01681 * 1500 * 9.8
Wc ≈ 248.843 N
Calculating the weight of the displaced zinc:
The volume of the displaced zinc will be equal to the volume of the cylindrical core.
Vz = Vc ≈ 0.01681 m³
The weight of the displaced zinc is given by the formula:
Wz = Vz * ρz * g
Substituting the given values:
Wz = 0.01681 * 12000 * 9.8
Wz ≈ 1971.168 N
Calculating the net force:
The net force that tends to lift the core is given by the difference between the weight of the core and the weight of the displaced zinc.
Net force = Wc - Wz
Net force ≈ 248.843 - 1971.168
Net force ≈ -1722.325 N
The negative sign indicates that the force is acting in the opposite direction, i.e., it tends to lift the core.
Conclusion:
The net force that tends to lift the core during pouring of molten metal is approximately -1722.325 N.
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In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer?
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In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer?.
In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer?.
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In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer?, a detailed solution for In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? has been provided alongside types of In sand casting of hollow part of zinc, a cylindrical core of diameter 130 mm and height 200 mm is placed inside the mould cavity. The densities of core material and zinc are 1500 kg/m3 and 1200 kg/m3 respectively. The net force that tends to lift the core during pouring of molten metal will be __________ N.a) 273b) 274Correct answer is between ' 273, 274'. Can you explain this answer? theory, EduRev gives you an
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