The tractor exerts a pressure of 40 kilopascals on the soil. Determine its mass if it is known
| February 14, 2021 | education
The tractor exerts a pressure of 40 kilopascals on the soil. Determine its mass if it is known that the bearing area of one of its tracks is 6500 cm2.
To find the value of the mass of a given tractor, we apply the formula: P = Ftyazh / S = m * g / (S1 * n), whence m = P * S1 * n / g.
Constants and variables: P – applied pressure (P = 40 kPa = 40 * 10 ^ 3 Pa); S1 – area of one caterpillar (S1 = 6500 cm2 = 0.65 m2); n is the number of tracks (n = 2 pcs.); g – acceleration due to gravity (g ≈ 9.8 m / s2).
Calculation: m = P * S1 * n / g = 40 * 10 ^ 3 * 2 * 0.65 / 9.8 = 5.31 * 10 ^ 3 kg = 5.31 tons.
Answer: This tractor has a mass of 5.31 tons.
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