Question

Станок массой 100 кг давит на фундамент 4-мя ножками. какое давление оказывает станок, если площадь каждой ножки 20 см(квадратных)

Answer 1

Дано:                     Решение:

m=100 кг              р=$\frac{F}{S}$; F=mg;

S=0,2м^{2}*4       F=100кг*10Н\кг(9,8)=1000Н(980)

g=10Н/кг(9,8)      р=1000Н(980)/0,8м^{2}=1250Па=1,25кПа(1225Па=1,225кПа)

 

Найти: p               Ответ: 1,25кПа(1,225кПа)

 

В скобках записано точное значение ускорения свободного падения, а без скобок приближенное. Выбери, как вам нужно.

Answer 2

Calculating Pressure Exerted by the Machine

To calculate the pressure exerted by the machine, we can use the formula:

Pressure = Force / Area

Given that the machine has a mass of 100 kg and is supported by 4 legs, and each leg has an area of 20 cm², we can calculate the pressure exerted by the machine.

Calculation

First, we need to calculate the force exerted by the machine. The force can be calculated using the formula:

Force = Mass * Acceleration due to gravity

Given: - Mass (m) = 100 kg - Acceleration due to gravity (g) = 9.81 m/s² (standard value)

We can calculate the force exerted by the machine: Force = 100 kg * 9.81 m/s²

Now, we have the force exerted by the machine. Next, we can calculate the pressure exerted by the machine on the ground using the formula:

Pressure = Force / Area

Given: - Force = (calculated above) - Area of each leg = 20 cm² = 0.002 m² (converted to square meters)

We can now calculate the pressure exerted by the machine.

Result

Using the calculated force and the area of each leg, we can determine the pressure exerted by the machine on the ground.

Pressure = (Force) / (Area of each leg)

Pressure = (100 kg * 9.81 m/s²) / (0.002 m²)

Pressure = 4905 Pa

Therefore, the machine exerts a pressure of 4905 Pascals on the ground.