What speed does someone have to reach to run on water
Running on water is a fascinating concept that has captivated people for centuries. While it seems impossible for someone to run on water, it is actually possible to achieve this feat with the right speed and equipment. The key is to generate enough force to overcome the surface tension of the water.
Surface Tension and Force Generation
Water has a surface tension of 72.86 dynes/cm. This means that there is a force acting on any object that tries to break the surface of the water. To overcome this force, an object must apply an equal amount of force in the opposite direction.
Calculating the Speed Required
To calculate the speed required to run on water, we need to know the weight of the person and the surface area of their feet. Let's assume a person weighs 150 pounds and has a foot surface area of 0.2 square feet.
Force = Weight = 150 pounds = 680.4 Newtons
Surface Area = 0.2 square feet = 0.0185 square meters
Pressure = Force/Area = 680.4 / 0.0185 = 36,832 Pascals
According to Bernoulli's principle, the pressure difference between the top and bottom of a fluid is equal to the density of the fluid multiplied by the velocity squared. In this case, the density of water is 1000 kilograms per cubic meter.
Pressure Difference = ΔP = ρ * v^2
Solving for v, we get: v = √(ΔP/ρ)
Plugging in our values: v = √(36,832 / 1000) = 6.07 meters per second or 13.6 miles per hour
Conclusion
Therefore, a person must reach a speed of at least 13.6 miles per hour or 6.07 meters per second to run on water. However, it's important to note that this calculation assumes perfect conditions. In practice, factors such as wind resistance and friction will make it more difficult to achieve.
Related Questions
- What is the surface tension of water?
- 72.86 dynes/cm
- What is the density of water?
- 1000 kilograms per cubic meter
- What is Bernoulli's principle?
- The pressure difference between the top and bottom of a fluid is equal to the density of the fluid multiplied by the velocity squared.
- How much does a typical human weigh?
- 150 pounds
- What is the surface area of a typical human foot?
- 0.2 square feet
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