If the average cutting speed on a shaper is 8.8 [m/min] , stroke length is 363 [mm] and both start and end allowances are 3 [mm]. The stroke cutting time is _______ [sec]
Question
If the average cutting speed on a shaper is 8.8 [m/min] , stroke length is 363 [mm] and both start and end allowances are 3 [mm]. The stroke cutting time is _______ [sec]
Solution 1
To calculate the stroke cutting time, we need to follow these steps:
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Convert the stroke length and allowances from millimeters to meters: Stroke length = 363 mm = 0.363 m Start allowance = End allowance = 3 mm = 0.003 m
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Add the stroke length and both allowances to get the total distance covered in one stroke: Total distance = Stroke length + Start allowance + End allowance Total distance = 0.363 m + 0.003 m + 0.003 m = 0.369 m
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Convert the cutting speed from meters per minute to meters per second:
Solution 2
To find the stroke cutting time, we need to follow these steps:
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Convert all measurements to the same units. In this case, we'll convert meters to millimeters because the stroke length and allowances are given in millimeters. So, the cutting speed is 8.8 m/min * 1000 = 8800 mm/min.
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Calculate the total distance of the stroke. This is the stroke length plus the start and end allowances. So, the total distance is 363 mm + 3 mm + 3 mm = 369 mm.
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Now, we can find the time it takes to complete one stroke. The time is the total distance divided by the speed. So, the time is 369 mm / 8800 mm/min = 0.04193 minutes.
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Finally, convert this time from minutes to seconds. There are 60 seconds in a minute, so the time is 0.04193 min * 60 = 2.5158 seconds.
So, the stroke cutting time is approximately 2.52 seconds.
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