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A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.
Correct answer is between '9.4,9.8'. Can you explain this answer?
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Verified Answer
A strip of 120 mm width and 8mm thickness is rolled between two 300 mm...
Width = 120mm
Initial thickness to = 8mm
Diameter of Roller = 300mm
Radius of Roller = 150mm
Final thickness = 7.2mm
Δh = ti - tf = 8 - 7.2= 0.8
Power require to drive one roller
So, power require to drive 2 roller = 2P = 2 x 4.8 kW = 9.6 kW
Most Upvoted Answer
A strip of 120 mm width and 8mm thickness is rolled between two 300 mm...
Given Data:
Width of the strip (W1) = 120 mm
Initial thickness of the strip (t1) = 8 mm
Final thickness of the strip (t2) = 7.2 mm
Diameter of the rolls (D) = 300 mm
Speed of the strip at the exit (v) = 30 m/min
Roll pressure (P) = 200 MPa
Calculations:
1. Calculation of Roll Gap:
The roll gap (h) can be calculated using the formula:
h = D/2 - t1/2
Given:
D = 300 mm
t1 = 8 mm
Substituting the values, we get:
h = 300/2 - 8/2 = 146 mm
2. Calculation of Roll Angle:
The roll angle (α) can be calculated using the formula:
α = 2 * arcsin(W1 / (2 * h))
Given:
W1 = 120 mm
h = 146 mm
Substituting the values, we get:
α = 2 * arcsin(120 / (2 * 146)) = 1.252 rad
3. Calculation of the Reduction in Thickness:
The reduction in thickness (Δt) can be calculated using the formula:
Δt = t1 - t2
Given:
t1 = 8 mm
t2 = 7.2 mm
Substituting the values, we get:
Δt = 8 - 7.2 = 0.8 mm
4. Calculation of the Roll Length:
The roll length (L) can be calculated using the formula:
L = π * D
Given:
D = 300 mm
Substituting the value, we get:
L = π * 300 = 942.48 mm
5. Calculation of the Total Power:
The total power required to drive the rolls can be calculated using the formula:
Power = (Roll Pressure * Roll Length * Reduction in Thickness * Roll Angle * Strip Speed) / (60 * Mechanical Efficiency)
Given:
Roll Pressure = 200 MPa
Roll Length = 942.48 mm
Reduction in Thickness = 0.8 mm
Roll Angle = 1.252 rad
Strip Speed = 30 m/min
Mechanical Efficiency = 100%
Converting the units to consistent values:
Roll Pressure = 200 * 10^6 Pa
Roll Length = 942.48 * 10^-3 m
Reduction in Thickness = 0.8 * 10^-3 m
Strip Speed = 30 / 60 m/s
Substituting the values, we get:
Power = (200 * 10^6 * 942.48 * 10^-3 * 0.8 * 10^-3 * 1.252 * 30 / 60) / (60 * 1)
Simplifying the expression, we get:
Power = 9.91 kW
Therefore, the minimum total power required to drive the two rolls is approximately 9.91 kW.
Width of the strip (W1) = 120 mm
Initial thickness of the strip (t1) = 8 mm
Final thickness of the strip (t2) = 7.2 mm
Diameter of the rolls (D) = 300 mm
Speed of the strip at the exit (v) = 30 m/min
Roll pressure (P) = 200 MPa
Calculations:
1. Calculation of Roll Gap:
The roll gap (h) can be calculated using the formula:
h = D/2 - t1/2
Given:
D = 300 mm
t1 = 8 mm
Substituting the values, we get:
h = 300/2 - 8/2 = 146 mm
2. Calculation of Roll Angle:
The roll angle (α) can be calculated using the formula:
α = 2 * arcsin(W1 / (2 * h))
Given:
W1 = 120 mm
h = 146 mm
Substituting the values, we get:
α = 2 * arcsin(120 / (2 * 146)) = 1.252 rad
3. Calculation of the Reduction in Thickness:
The reduction in thickness (Δt) can be calculated using the formula:
Δt = t1 - t2
Given:
t1 = 8 mm
t2 = 7.2 mm
Substituting the values, we get:
Δt = 8 - 7.2 = 0.8 mm
4. Calculation of the Roll Length:
The roll length (L) can be calculated using the formula:
L = π * D
Given:
D = 300 mm
Substituting the value, we get:
L = π * 300 = 942.48 mm
5. Calculation of the Total Power:
The total power required to drive the rolls can be calculated using the formula:
Power = (Roll Pressure * Roll Length * Reduction in Thickness * Roll Angle * Strip Speed) / (60 * Mechanical Efficiency)
Given:
Roll Pressure = 200 MPa
Roll Length = 942.48 mm
Reduction in Thickness = 0.8 mm
Roll Angle = 1.252 rad
Strip Speed = 30 m/min
Mechanical Efficiency = 100%
Converting the units to consistent values:
Roll Pressure = 200 * 10^6 Pa
Roll Length = 942.48 * 10^-3 m
Reduction in Thickness = 0.8 * 10^-3 m
Strip Speed = 30 / 60 m/s
Substituting the values, we get:
Power = (200 * 10^6 * 942.48 * 10^-3 * 0.8 * 10^-3 * 1.252 * 30 / 60) / (60 * 1)
Simplifying the expression, we get:
Power = 9.91 kW
Therefore, the minimum total power required to drive the two rolls is approximately 9.91 kW.
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A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer?
Question Description
A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. 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 A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. 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 A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer?.
A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. 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 A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. 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 A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer?.
Solutions for A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer?, a detailed solution for A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer? has been provided alongside types of A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A strip of 120 mm width and 8mm thickness is rolled between two 300 mm-diameter rolls to get a strip of 120 mm width and 7.2 mm thickness. The speed of the strip at the exit is 30 m/min. There is no front or back tension. Assuming uniform roll pressure of 200 MPa in the roll bite and 100% mechanical efficiency, the minimum total power (in kW) required to drive the two rolls is _________.Correct answer is between '9.4,9.8'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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