What is the pressure on the rails of a car with a mass of 60 tons if the contact area of one

What is the pressure on the rails of a car with a mass of 60 tons if the contact area of one wheel with a rail is 10 cm square, and there are only 8 wheels?

m = 60 t = 60,000 kg.

g = 9.8 m / s ^ 2.

S1 = 10 cm ^ 2 = 0.001 m ^ 2.

n = 8.

P -?

The pressure of the car on the rails is determined by the formula: P = F / S, where F is the force with which the car presses on the rails, S is the area on which this force acts.
The car presses on the rails with its weight F, which is determined by the formula: F = m * g, where m is the mass of the car, g is the acceleration of gravity.
Let us express the area of contact between the car and the rails S.
S = n * S1.

The formula for the car pressure will be: P = m * g / n * S1.
P = 60,000 kg * 9.8 m / s / 8 * 0.001 m ^ 2 = 73,500,000 Pa = 73.5 MPa.

Answer: the pressure of the car on the rails is P = 73.5 MPa



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