The force exerted on the circular glass plate of the scuba diver's face mask can be calculated by finding the pressure exerted by the water at the given depth and multiplying it by the area of the glass plate. The force is approximately equal to the pressure multiplied by 0.02551.
To calculate the force on the circular glass plate of the scuba diver's face mask, we need to consider the pressure exerted by the water at the given depth. Here are the steps to calculate the force:
1. Convert the diameter of the circular glass plate from centimeters to meters by dividing by 100.
- Diameter = 18 cm
- Diameter = 0.18 m
2. Calculate the radius of the circular glass plate by dividing the diameter by 2.
- Radius = 0.18 m / 2
3. Calculate the area of the circular glass plate using the formula:
- Area = π * (radius^2)
- Area = π * (0.18 m / 2)^2
4. Calculate the pressure exerted by the water at the given depth using the formula:
- Pressure = density * gravity * depth
- Assume the density of water is 1000 kg/m^3 and the acceleration due to gravity is 9.8 m/s^2.
- Pressure = 1000 kg/m^3 * 9.8 m/s^2 * 12 m
5. Calculate the force on the circular glass plate using the formula:
- Force = Pressure * Area
- Force = Pressure * π * (0.18 m / 2)^2
6. Calculate the force by multiplying the pressure and the area.
- Force ≈ Pressure * 0.02551