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A crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.
- a)2
- b)5
- c)5.57
- d)12
Correct answer is option 'A'. Can you explain this answer?
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A crank slotted lever mechanism used in a shaper has a centre distance...
= 60 X 2 = 1200
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A crank slotted lever mechanism used in a shaper has a centre distance...
Given data:
Centre distance between the centre of oscillation of the slotted lever and the center of rotation of the crank = 500 mm
Radius of crank = 250 mm
We know that the cutting stroke time = π/2√(a/g)
where a = acceleration of the slider
g = acceleration due to gravity
Also, return stroke time = π/2√((2r-a)/g)
Ratio of cutting stroke to return stroke time = (π/2√(a/g))/(π/2√((2r-a)/g))
= √((2r-a)/a)
Now, we need to find the value of 'a' to calculate the ratio.
a = (ω² × r) / g
where ω = angular velocity of the crank
We can calculate ω using the formula:
ω = (2π × n) / 60
where n = speed of the crank in rpm
Assuming n = 60 rpm, we get
ω = (2π × 60) / 60 = 2π rad/s
Substituting the values of ω, r and g, we get
a = (2π)² × 0.25 / 9.81 = 3.99 m/s²
Now, substituting the value of 'a' in the formula for ratio, we get
Ratio of cutting stroke to return stroke time = √((2r-a)/a) = √((2 × 0.25 - 3.99) / 3.99)
≈ 2
Therefore, the ratio of cutting stroke to return stroke time is 2.
Centre distance between the centre of oscillation of the slotted lever and the center of rotation of the crank = 500 mm
Radius of crank = 250 mm
We know that the cutting stroke time = π/2√(a/g)
where a = acceleration of the slider
g = acceleration due to gravity
Also, return stroke time = π/2√((2r-a)/g)
Ratio of cutting stroke to return stroke time = (π/2√(a/g))/(π/2√((2r-a)/g))
= √((2r-a)/a)
Now, we need to find the value of 'a' to calculate the ratio.
a = (ω² × r) / g
where ω = angular velocity of the crank
We can calculate ω using the formula:
ω = (2π × n) / 60
where n = speed of the crank in rpm
Assuming n = 60 rpm, we get
ω = (2π × 60) / 60 = 2π rad/s
Substituting the values of ω, r and g, we get
a = (2π)² × 0.25 / 9.81 = 3.99 m/s²
Now, substituting the value of 'a' in the formula for ratio, we get
Ratio of cutting stroke to return stroke time = √((2r-a)/a) = √((2 × 0.25 - 3.99) / 3.99)
≈ 2
Therefore, the ratio of cutting stroke to return stroke time is 2.
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A crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. Can you explain this answer?
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A crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. 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 crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. 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 crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. Can you explain this answer?.
A crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. 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 crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. 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 crank slotted lever mechanism used in a shaper has a centre distance of 500 mm between the centre of oscillation of the slotted lever and the center of rotation of the crank. The radius of crank is 250 mm. The ratio of cutting stroke to return stroke time is _________.a)2b)5c)5.57d)12Correct answer is option 'A'. Can you explain this answer?.
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