If a pin has a force of 30N and an area of 0.2mm², what is the pressure exerted?

To calculate the pressure exerted by the pin, you can use the formula for pressure, which is:

Pressure = Force / Area

In this case, the force is given as 30N and the area is 0.2mm². However, to maintain consistency in units and to perform the calculation correctly, it is essential to convert the area from mm² to m².

1 mm² is equal to (1 \times 10^{-6}) m². Therefore:

0.2 mm² = 0.2 × (1 \times 10^{-6}) m² = (2 \times 10^{-7}) m².

Next, we can calculate the pressure:

Pressure = 30N / (2 \times 10^{-7}) m² = 150,000,000 N/m², or 150 N/mm².

In this context, when using N/mm², the units are consistent since you are dividing the force in Newtons by the area in mm².

Thus, the correct choice reflects the calculated pressure of 150N/mm², demonstrating how the units and values work together to derive the answer.