In an external cylindrical grinding operation on a hardened steel tube whose outside radius = 42.5 mm, the grinding wheel diameter = 125 mm and wheel width = 20 mm. The work piece rotates at a surface speed of 25 m/min, the wheel rotates at 1800 rev/min, infeed (depth of cut) = 0.05 mm, and traverse feed = 0.50 mm/rev. There are 50 active grits/cm2 of wheel surface, and the operation is performed dry.

Determine the (a) volume rate of metal removed, (b) number of chips formed per unit time, and (c) average volume per chip. (d) If the tangential cutting force on the work = 45 N, compute the specific energy in this operation.

a

The volume rate of metal removed

b

The number of chips formed per unit time

c

The average volume per chip

d

The the specific energy in this operation

Explanation:

From the question we are told that

    The outside radius is

     The grinding wheel diameter is

      The grinding wheel  width is  

      The surface speed of the work piece rotation  of  

     The speed of rotation of the wheel is

      The depth of cut is

       The transverse feed is

        The number of of wheel surface is

         The cutting force is F = 45 N

The volume rate of the metal removed is mathematically represented as

     Substitution value

The speed of the wheel is mathematically represented

The number of chips formed per unit time is mathematically represented as

The average volume per is  mathematically represented as

The specific energy is the operation mathematically