What pressure is exerted by the tip a nail struck with a Force of 20,000N? Assume the tip is a 1.5mm-radius circle.
r = 1.5 * 10^-3 m
pi r^2 = pi (2.25) * 10^-6 m^2
F/A = P = 2*10^4 /[pi (2.25) *10^-6) ]
= .283 *10^10
= 2.83 * 10*9 Pascals
To find the pressure exerted by the tip of the nail, we need to use the formula for pressure:
Pressure = Force / Area
First, we need to find the area of the tip of the nail. The tip is a circle with a radius of 1.5mm. The formula for the area of a circle is:
Area = π * radius^2
Substituting the given values:
Area = π * (1.5mm)^2
= 3.14 * (0.0015m)^2
= 3.14 * 0.00000225m^2
= 0.000007065m^2
Now, we can substitute the values into the formula for pressure:
Pressure = Force / Area
= 20,000N / 0.000007065m^2
≈ 2,829,888,641.5 Pascals (Pa)
Therefore, the pressure exerted by the tip of the nail struck with a force of 20,000N is approximately 2,829,888,641.5 Pascals (Pa).
To calculate the pressure exerted by the tip of a nail, we need to use the formula for pressure:
Pressure = Force / Area
First, we need to find the area of the circular tip of the nail. The area of a circle can be calculated using the formula:
Area = π * radius^2
Given that the radius of the tip is 1.5mm, we can substitute this value into the formula:
Area = π * (1.5mm)^2
Now, we need to convert the radius from millimeters to meters to ensure that our units are consistent. There are 1000 millimeters in 1 meter, so:
Radius = 1.5mm / 1000 = 0.0015m
Now, we can substitute the radius into the formula for area:
Area = π * (0.0015m)^2
Next, we can calculate the area using this formula and the value of π (approximately 3.14159):
Area ≈ 3.14159 * (0.0015m)^2
Once we have the area, we can calculate the pressure by dividing the force (20,000N) by the calculated area:
Pressure = 20,000N / Area
Now, we can substitute the value of the area into this formula and calculate the pressure.