Question

Площадь острия иголки равна 0,00041 мм2. Какое давление оказывает игла на ткань, если швея нажимает на иглу перпендикулярно поверхности ткани с силой 6,56 Н? Игла оказывает на ткань давление, равное______ ГПа (гигапаскалей).

Answer 1

Решение смотри на фото

Answer 2

Calculation of Pressure

To calculate the pressure exerted by the needle on the fabric, we can use the formula:

Pressure = Force / Area

Given that the force applied by the seamstress is 6.56 N and the area of the needle tip is 0.00041 mm², we can substitute these values into the formula to find the pressure.

Pressure = 6.56 N / 0.00041 mm²

To ensure consistent units, we need to convert the area from mm² to m². Since 1 mm² is equal to 0.000001 m², we can convert the area as follows:

Pressure = 6.56 N / (0.00041 mm² * 0.000001 m²/mm²)

Simplifying the equation:

Pressure = 6.56 N / 0.00000000041 m²

Calculating the pressure:

Pressure ≈ 1.6 x 10^10 Pa

Therefore, the pressure exerted by the needle on the fabric is approximately 1.6 x 10^10 pascals (Pa), or 16 gigapascals (GPa)