A lathe is to have n spindle speeds arranged in arithmetic progression
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A lathe is to have n spindle speeds arranged in arithmetic progression

Part 3:

A lathe is to have n spindle speeds arranged in arithmetic progression. It is to cater for work ranging from 25mm to 70mm diameter. Allowing for a cutting speed of C m/min, find these spindle speeds.

The formula for cutting speed is:

S=πDN/1000

Where:

D = diameter of work in mm N = spindle speed of lathe in rev/min S = cutting speed in m/min

A drill is to have n spindle speeds arranged in Geometric Progression. It is to drill a range of holes from 5mm to 15mm in diameter at a cutting speed of Cm/min. Find the spindle speeds (N)

Hint
MathematicsThe lathe is both crucial and versatile, and learning how to us and/or operate it remains significant. Cylindrical objects against tools acquire rotation from this machine with a touch of personal control. Furthermore, this machine foreruns all other machine tools. ...

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