The lathe weighing 300 kg rests on a foundation with four legs. Determine the pressure of the machine

The lathe weighing 300 kg rests on a foundation with four legs. Determine the pressure of the machine on the foundation if the area of each leg is 50 cm.

Initial data: m (lathe weight) = 300 kg; S1 (area of one machine leg) = 50 cm ^ 2 = 50 * 10 ^ -4 m ^ 2.

Constants: g (acceleration of gravity) = 10 m / s ^ 2.

1) Determine the force with which the mass of the machine presses on the foundation: F = m * g = 300 * 10 = 3000 N.

2) Determine the area of the foundation on which the mass of the lathe exerts pressure: S = 4 * S1 = 4 * 50 * 10 ^ -4 = 0.02 m ^ 2.

3) Let’s calculate the pressure of the lathe on the foundation: P = F / S = 3000 / 0.02 = 150,000 Pa = 150 kPa.



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