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In a shaper work, the length of stroke is 210 mm, number of double stroke per minute is 40 and the ratio (m/min) of return time to cutting time is 2:3. Then cutting speed (in m/min) is
- a)8
- b)12
- c)14
- d)16
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In a shaper work, the length of stroke is 210 mm, number of double st...
Given data:
- Length of stroke = 210 mm
- Number of double stroke per minute = 40
- Ratio of return time to cutting time = 2:3
Calculating the cutting time:
- In one double stroke, the shaper makes both the cutting stroke and the return stroke.
- So, the total time for one double stroke is the sum of cutting time and return time.
- Let the cutting time be 'x' minutes.
- Since the ratio of return time to cutting time is 2:3, the return time can be expressed as (2/3)x minutes.
- Therefore, the total time for one double stroke is x + (2/3)x = (5/3)x minutes.
Calculating the cutting speed:
- The cutting speed is defined as the distance traveled by the tool in a given time.
- In one double stroke, the tool travels twice the length of stroke.
- So, in one minute, the tool travels 2 * 210 = 420 mm.
- Since there are 40 double strokes per minute, the total distance traveled by the tool in one minute is 40 * 420 = 16800 mm.
Converting the cutting speed to m/min:
- As the cutting speed is given in mm/min, we need to convert it to m/min.
- There are 1000 mm in 1 m. Therefore, the cutting speed in m/min is 16800/1000 = 16.8 m/min.
Final answer:
- The cutting speed is 16.8 m/min, which is closest to option 'C' (14 m/min).
- Length of stroke = 210 mm
- Number of double stroke per minute = 40
- Ratio of return time to cutting time = 2:3
Calculating the cutting time:
- In one double stroke, the shaper makes both the cutting stroke and the return stroke.
- So, the total time for one double stroke is the sum of cutting time and return time.
- Let the cutting time be 'x' minutes.
- Since the ratio of return time to cutting time is 2:3, the return time can be expressed as (2/3)x minutes.
- Therefore, the total time for one double stroke is x + (2/3)x = (5/3)x minutes.
Calculating the cutting speed:
- The cutting speed is defined as the distance traveled by the tool in a given time.
- In one double stroke, the tool travels twice the length of stroke.
- So, in one minute, the tool travels 2 * 210 = 420 mm.
- Since there are 40 double strokes per minute, the total distance traveled by the tool in one minute is 40 * 420 = 16800 mm.
Converting the cutting speed to m/min:
- As the cutting speed is given in mm/min, we need to convert it to m/min.
- There are 1000 mm in 1 m. Therefore, the cutting speed in m/min is 16800/1000 = 16.8 m/min.
Final answer:
- The cutting speed is 16.8 m/min, which is closest to option 'C' (14 m/min).
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Community Answer
In a shaper work, the length of stroke is 210 mm, number of double st...
Given data
The length of cutting stroke in mm (L) = 210 mm
The ratio between return time to cutting time (m) = 2:3
The number of double strokes of the ram per minute (n) = 40
The cutting speed (V) = ? m/min
Cutting speed - nL(1+m) /1000
14 m/min
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In a shaper work, the length of stroke is 210 mm, number of double stroke per minute is 40 and the ratio (m/min) of return time to cutting time is 2:3. Then cutting speed (in m/min) isa)8b)12c)14d)16Correct answer is option 'C'. Can you explain this answer?
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