The lathe motor develops a power of 4.5 kW. Determine the cutting speed in meters per minute

| September 8, 2021 | education

The lathe motor develops a power of 4.5 kW. Determine the cutting speed in meters per minute if the cutting force is 3600N. when cutting, the net engine power does not exceed 80% of the rated power.

Nн = 4.5 kW = 4500 W.

F = 3600 N.

Efficiency = 80%.

V -?

Since, according to the condition of the problem, when cutting, the useful power Np is 80% of the nominal Nn, this means that the cutting machine has an efficiency = 80%.

Efficiency = Nп * 100% / Nн.

Let us write down the useful power of the machine Np according to the formula: Np = Ap / t, where Ap is the useful work of the machine, t is the operating time of the machine.

Useful work when cutting An is expressed by the formula: An = F * S, where F is the cutting force, S is the length of the cut made.

Nп = F * S / t = F * V, where V is the cutting speed.

Efficiency = F * V * 100% / Nn.

V = efficiency * Nн / F * 100%.

V = 80% * 4500 W / 3600 N * 100% = 1 m / s = 60 m / min.

Answer: The cutting speed of the machine is V = 60 m / min.



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