Question

Давление в велосипедном колесе составляет 3,5 атм. С какой силой человек, накачивающий колесо, будет действовать на поршень насоса, если его диаметр 2 см? Атмосферное давление 100 кПа А. 79 Н Б. 110 Н В. 220 Н Г. 314 Н Д. 440 Н

Answer 1

B 220 H..............

Answer 2

Calculating the Force Exerted on the Pump Piston

To calculate the force exerted on the pump piston when inflating the bicycle tire, we can use the formula:

Force = Pressure × Area

Where: - Pressure is the pressure in the bicycle tire in pascals (Pa). - Area is the cross-sectional area of the pump piston in square meters (m²).

Given: - Pressure in the bicycle tire = 3.5 atm - Atmospheric pressure = 100 kPa - Diameter of the pump piston = 2 cm

First, let's convert the pressure in the bicycle tire from atm to pascals (Pa): 1 atm = 101325 Pa So, 3.5 atm = 3.5 * 101325 Pa = 354137.5 Pa

Next, we'll calculate the area of the pump piston: Radius of the pump piston = Diameter / 2 = 2 cm / 2 = 1 cm = 0.01 m Area = π * (radius)² = π * (0.01 m)² ≈ 0.000314 m²

Now, we can calculate the force exerted on the pump piston: Force = Pressure × Area Force = 354137.5 Pa × 0.000314 m² Force ≈ 111.1 N

So, the force exerted on the pump piston when inflating the bicycle tire is approximately 111.1 N.

Therefore, the correct answer is: В. 110 Н