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One Response to “When you go scuba diving in the ocean, below what depth could damage to your eardrum start to occur?”
I tried to work out the length of a column of sea-water that is 8.2mm diameter and has a weight (force = mass x acceleration due to gravity) of 1.5 newtons.
The calculation came to 2.81m. That sounds about right, eh?
Working:
1. volume of a cylinder = (area of circle) x (length of cylinder).
2. area of a circle = pi x radius squared
3. diameter = 2 x radius
4. 1 meter = 1000 mm (8.2mm = .0082m)
5. mass of a solid = volume x density
6. force = mass x acceleration (due to gravity)
So:
Force = ( volume of column x density of sea water ) x g
1.5 = (pi x .0082/2 ^ 2) x depth x 1.03 x 10^3 x 9.81
1.5 = 0.533 x depth
January 21st, 2009 at 3:50 pm
Travis Nakamura
I tried to work out the length of a column of sea-water that is 8.2mm diameter and has a weight (force = mass x acceleration due to gravity) of 1.5 newtons.
The calculation came to 2.81m. That sounds about right, eh?
Working:
1. volume of a cylinder = (area of circle) x (length of cylinder).
2. area of a circle = pi x radius squared
3. diameter = 2 x radius
4. 1 meter = 1000 mm (8.2mm = .0082m)
5. mass of a solid = volume x density
6. force = mass x acceleration (due to gravity)
So:
Force = ( volume of column x density of sea water ) x g
1.5 = (pi x .0082/2 ^ 2) x depth x 1.03 x 10^3 x 9.81
1.5 = 0.533 x depth
depth = 2.81m