Using the gauge pressure, calculate the force exerted at the bottom of cylinder tube whose radius is 90 cm.
To calculate the force exerted at the bottom of the cylinder tube, we need to know the height of the cylinder and the pressure it is experiencing. Only then can we calculate the force using Newton's second law:
Force = Pressure x Area
Since we only have the radius of the cylinder tube, we cannot calculate the force without additional information.
To calculate the force exerted at the bottom of the cylindrical tube, we need to use the concept of pressure. Pressure is defined as the force per unit area and is given by the equation:
Pressure = Force / Area
In this case, we are given the pressure in terms of gauge pressure. Gauge pressure is the pressure above atmospheric pressure.
First, we need to convert the gauge pressure into absolute pressure by adding the atmospheric pressure.
Once we have the absolute pressure, we can calculate the force exerted using the equation for pressure:
Force = Pressure * Area
Now, let's calculate the force exerted at the bottom of the cylindrical tube:
1. Convert the gauge pressure into absolute pressure:
- If the gauge pressure is given in units of Pascal (Pa), then there is no need for conversion as Pascal is already the unit of absolute pressure.
- If the gauge pressure is given in units of atmospheres (atm), then you need to multiply the gauge pressure by the atmospheric pressure in Pascal. The atmospheric pressure is typically around 101325 Pa.
2. Calculate the force exerted:
- Use the formula: Force = Pressure * Area
- Substitute the absolute pressure calculated in step 1 and the area of the bottom of the cylindrical tube.
- The area of the bottom of the tube is calculated using the formula: Area = π * (radius)^2, where radius is given in meters.
By following these steps, you can calculate the force exerted at the bottom of the cylindrical tube.
To calculate the force exerted at the bottom of a cylinder tube, we need to know the gauge pressure and the radius of the tube.
The formula to calculate the force exerted at the bottom of a cylinder is:
Force = Pressure x Area
The area of the bottom face of the cylinder can be calculated using the formula:
Area = π x r^2
where r is the radius of the tube.
Given that the radius of the cylinder tube is 90 cm, we need to convert it to meters by dividing it by 100:
r = 90 cm / 100 = 0.9 m
To calculate the force exerted at the bottom, we also need to know the gauge pressure. Gauge pressure is the pressure above atmospheric pressure. Let's assume that the gauge pressure is 2 atm.
Now, we can calculate the force exerted at the bottom of the cylinder tube:
Force = Pressure x Area
Using the value for gauge pressure and the formula for area:
Force = 2 atm x π x (0.9 m)^2
Calculating the value:
Force = 2 atm x 3.14 x (0.9 m)^2
Force = 2 x 3.14 x 0.81 m^2
Force = 5.1044 m^2
Therefore, the force exerted at the bottom of the cylinder tube is approximately 5.1044 N (Newtons).