A basketball has a 300-mm outer diameter and a 3-mm wall thickness. Determine the normal stress in the wall when the basketball is inflated to a 108-kPa gage pressure. (Round the final answer to two decimal places.)

2.65 MPa

Explanation:

To find the normal stress (σ) in the wall of the basketball we need to use the following equation:

Where:

p: is the gage pressure = 108 kPa

r: is the inner radius of the ball

t: is the thickness = 3 mm  

Hence, we need to find r, as follows:

Where:

d: is the outer diameter = 300 mm

Now, we can find the normal stress (σ) in the wall of the basketball:

Therefore, the normal stress is 2.65 MPa.

I hope it helps you!

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