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An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places)
Correct answer is '685.916'. Can you explain this answer?
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An orthogonal cutting operation is performed using a single point cutt...
And 800 N, respectively. Determine the resultant force acting on the tool and its direction.
To determine the resultant force acting on the tool, we can use vector addition. The cutting force and the friction force can be represented as vectors. Let's assume that the cutting force is directed along the positive x-axis and the friction force is directed along the positive y-axis.
The cutting force vector, Fc, can be represented as Fc = 1000 N (î), where î is the unit vector along the x-axis.
The friction force vector, Ff, can be represented as Ff = 800 N (ĵ), where ĵ is the unit vector along the y-axis.
To find the resultant force, we can add these two vectors:
Resultant force, Fr = Fc + Ff
Fr = 1000 N (î) + 800 N (ĵ)
To determine the direction of the resultant force, we can find the angle it makes with the positive x-axis. We can use the arctan function to find this angle:
θ = arctan(Ff/Fc)
θ = arctan(800 N / 1000 N)
θ = arctan(0.8)
θ ≈ 38.66°
Therefore, the resultant force acting on the tool has a magnitude of approximately √(1000^2 + 800^2) = 1280 N and it is directed at an angle of approximately 38.66° with the positive x-axis.
To determine the resultant force acting on the tool, we can use vector addition. The cutting force and the friction force can be represented as vectors. Let's assume that the cutting force is directed along the positive x-axis and the friction force is directed along the positive y-axis.
The cutting force vector, Fc, can be represented as Fc = 1000 N (î), where î is the unit vector along the x-axis.
The friction force vector, Ff, can be represented as Ff = 800 N (ĵ), where ĵ is the unit vector along the y-axis.
To find the resultant force, we can add these two vectors:
Resultant force, Fr = Fc + Ff
Fr = 1000 N (î) + 800 N (ĵ)
To determine the direction of the resultant force, we can find the angle it makes with the positive x-axis. We can use the arctan function to find this angle:
θ = arctan(Ff/Fc)
θ = arctan(800 N / 1000 N)
θ = arctan(0.8)
θ ≈ 38.66°
Therefore, the resultant force acting on the tool has a magnitude of approximately √(1000^2 + 800^2) = 1280 N and it is directed at an angle of approximately 38.66° with the positive x-axis.
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Community Answer
An orthogonal cutting operation is performed using a single point cutt...
Given :
α = 120
Cutting force, Fc1000 N C
Friction force, F = 600 N
Chip thickness, tc1.5 mm
Uncut chip thickness, t = 0.75 mm
φ= 28.620
Method 1 :
α = 120
Cutting force, Fc1000 N C
Friction force, F = 600 N
Chip thickness, tc1.5 mm
Uncut chip thickness, t = 0.75 mm
φ= 28.620
Method 1 :
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An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. Can you explain this answer?
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An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. 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 An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. 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 An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. Can you explain this answer?.
An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. 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 An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. 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 An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of 120on a lathe. During turning, the cutting force and the friction force are 1000 N & 600 N, respectively. If the chip thickness and the uncut chip thickness during turning are 1.5 mm and 0.75 mm, respectively, then the shear force is______N (round off to two decimal places) Correct answer is '685.916'. Can you explain this answer?.
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