Question

Вес шкафа равен 65 кН. У шкафа четыре ножки. Площадь опоры каждой ножки равна 32 см2. Какое давление оказывает шкаф на соответствующую поверхность? (При необходимости ответ округли до целого числа!) Давление равно кПа.

Answer 1

Ответ:

5078,125 кПа = 5078 кПа

Объяснение:

Формула давления твердых тел имеет такой вид

p=F/S = 65 000Н/ 4*32 = 65 000Н/0.0128м2 =5 078 125 Па = 5078,125кПа =

5078 кПа або ж 5,078 МПа

F = 65 кН = 65 000H

S = 32 см2 * 4  = 128 см2 = 0.0128м2

Answer 2

Calculation of Pressure

To calculate the pressure exerted by the cabinet on the corresponding surface, we need to divide the force (weight) of the cabinet by the area of each leg.

Given: - Weight of the cabinet = 65 kN - Area of each leg = 32 cm²

To find the pressure, we can use the formula:

Pressure = Force / Area

Converting the weight of the cabinet from kilonewtons (kN) to newtons (N): 1 kN = 1000 N

So, the weight of the cabinet in newtons is: 65 kN * 1000 N/kN = 65,000 N

Now, let's calculate the pressure exerted by the cabinet on each leg:

Pressure = 65,000 N / 32 cm²

Note: We need to convert the area from square centimeters (cm²) to square meters (m²) to ensure consistent units.

Converting the area from cm² to m²: 1 cm² = 0.0001 m²

So, the area of each leg in square meters is: 32 cm² * 0.0001 m²/cm² = 0.0032 m²

Now, let's calculate the pressure:

Pressure = 65,000 N / 0.0032 m²

Calculating the pressure: 65,000 N / 0.0032 m² = 20,312,500 N/m²

Therefore, the pressure exerted by the cabinet on the corresponding surface is approximately 20,312,500 N/m² or 20,312.5 kPa.

Please note that the answer has been rounded to the nearest whole number as requested.