Question

Трактор весом 112 кН оказывает давление на грунт 50 кПа . определите площадь соприкосновения гусениц трактора с грунтом.

Answer 1

P = F / S ---------------> S = F / p 

F - сила ( 112 кН = 112000 Н ) 
р - давление ( 50 кПа = 50000 Па ) 

S = 112000 / 50000 = 2,24 м² 

Answer 2

Calculation of the Contact Area of the Tractor with the Ground

To determine the contact area of the tractor with the ground, we need to use the given information about the weight of the tractor and the pressure it exerts on the ground.

According to the provided information: - The weight of the tractor is 112 kN. - The pressure exerted on the ground by the tractor is 50 kPa.

To calculate the contact area, we can use the formula:

Pressure (P) = Force (F) / Area (A)

Rearranging the formula, we get:

Area (A) = Force (F) / Pressure (P)

In this case, the force is equal to the weight of the tractor.

Let's calculate the contact area of the tractor with the ground:

Step 1: Convert the weight of the tractor from kilonewtons (kN) to newtons (N).

1 kN = 1000 N

So, the weight of the tractor in newtons is:

Weight = 112 kN * 1000 N/kN = 112,000 N

Step 2: Substitute the values into the formula to calculate the contact area.

Area = Weight / Pressure

Area = 112,000 N / 50 kPa

Note: To ensure consistent units, we need to convert kilopascals (kPa) to pascals (Pa).

1 kPa = 1000 Pa

Pressure = 50 kPa * 1000 Pa/kPa = 50,000 Pa

Substituting the values:

Area = 112,000 N / 50,000 Pa

Step 3: Calculate the contact area.

Area = 2.24 square meters

Therefore, the contact area of the tractor with the ground is approximately 2.24 square meters.

Please note that the calculation assumes uniform pressure distribution and does not take into account any irregularities or variations in the ground surface.