Lathe Machining problem

A $200-$mm$-$long and $16-$mm$-$diameter aluminum rod is being turned on a lathe to reduce its diameter to $15\mathrm{.}5$ mm $.$ The spindle rotates at $600$ rpm $,$ and the tool is traveling at an axial feed rate of $300m\frac{m}{m}in.$ Assume the cutting force is $1800$ N and the specific energy for aluminum is $2\mathrm{.}5W*\frac{s}{m}{m}^3.$

Required:

a$.$ Calculate the cutting speed for the original diameter and the machined diameter.

b$.$ Determine the material removal rate.

c$.$ Compute the time required to complete the cut.

d$.$ Calculate the power dissipated during the process.

e$.$ Determine the torque applied during machining.

f$.$ Reconfirm the cutting force using torque and diameter.

Lathe Machining problem

A $200-$mm$-$long and $16-$mm$-$diameter aluminum rod is being turned on a lathe to reduce its diameter to $15\mathrm{.}5$ mm $.$ The spindle rotates at $600$ rpm $,$ and the tool is traveling at an axial feed rate of $300m\frac{m}{m}in.$ Assume the cutting force is $1800$ N and the specific energy for aluminum is $2\mathrm{.}5$ W $-$s$/$mm ${?}^3.$

Required:

a$.$ Calculate the cutting speed for the original diameter and the machined diameter.

b$.$ Determine the material removal rate.

c$.$ Compute the time required to complete the cut.

d$.$ Calculate the power dissipated during the process.

e$.$ Determine the torque applied during machining.

f$.$ Reconfirm the cutting force using torque and diameter.

Final answers:

Cutting Speeds: $30\mathrm{.}16\frac{m}{m}in($initial$),29\mathrm{.}21\frac{m}{m}in($final$)$

Material Removal Rate $($MRR$)$: $3708\mathrm{.}34(mm)\frac{3}{m}i{n}_{?}$

Time Required: $0\mathrm{.}6667$ minutes$/40$ seconds

Power: $9\mathrm{.}27(kW{)}_{?}$

Torque: $147\mathrm{.}52$ N

Reconfirmed Cutting Force: $18\mathrm{.}73k{N}_{?}$