A perpendicular force of 600n acts on a circular surface of radius 1.4 m. The surface breaks if additional force of 16N is applied on it . What is the maximum pressure that the surface can withstand with.
To find the maximum pressure that the surface can withstand, we need to calculate the force per unit area.
The formula for pressure is:
Pressure = Force / Area
We already have the additional force that causes the surface to break, which is 16N. However, to determine the maximum pressure, we need to consider the perpendicular force of 600N.
To find the area of the circular surface, we can use the formula for the area of a circle:
Area = π * radius^2
Given that the radius of the circular surface is 1.4m, we can calculate the area:
Area = π * (1.4^2) = 6.16π m^2
Now, we can use the formula for pressure to find the maximum pressure:
Maximum Pressure = (Perpendicular Force + Additional Force) / Area
Maximum Pressure = (600N + 16N) / (6.16π m^2)
Calculating the value:
Maximum Pressure ≈ 99.79 N/m^2
So, the maximum pressure that the surface can withstand is approximately 99.79 N/m^2.