what happens to a soccer ball underwater at a depth of 50 feet?

The ball will be somewhat compressed at the 50 ft depth, because the outside pressure will be increased from 1.0 atm to about 2.5 atm absolute. The inside pressure will be lower than that (if it was filled to the proper pressure), so the ball will be noticeably nonspherical and smaller.

is there a formula i can use to determine the diameter of the ball or the percentage of size reduction? The ball has a diameter of 8.5 inches and is inflated to 7 lbs. at 0 depth

To understand what happens to a soccer ball underwater at a depth of 50 feet, we need to consider a few factors.

1. Buoyancy: A soccer ball is generally filled with air, which makes it buoyant. When placed underwater, the ball will experience an upward force due to the difference in density between air and water. This buoyant force will partially offset the weight of the ball.

2. Water Pressure: As you descend deeper underwater, the pressure increases due to the weight of the water above. At a depth of 50 feet, the water pressure is significantly higher compared to the surface. The increased pressure compresses the air inside the soccer ball, making it denser.

Based on these factors:

1. Buoyant Force: The soccer ball will still experience some buoyant force, but it will be reduced compared to when it's on the surface. This is because the pressure increases as the depth increases, causing the ball to compress slightly, reducing its buoyancy.

2. Water Resistance: The ball will encounter greater water resistance as it moves through the water at higher depths. The denser water will slow down the ball's movement more than it would at the surface. This means that the ball may not travel as far or as fast underwater compared to in the air.

3. Impact of Compression: As the ball descends underwater, the increased water pressure will compress the air inside the ball. This compression will cause the ball to lose some of its round shape and become less bouncy.

In summary, a soccer ball underwater at a depth of 50 feet will have reduced buoyancy, decreased movement due to stronger water resistance, and a less bouncy feel due to the compression of air inside the ball.