A 100-kg metal cylinder, 2.0m long and with each end of 25 cm^2, stands vertically on one end. What pressure that the cylinder exerts on the floor?
To find the pressure that the cylinder exerts on the floor, we need to divide the weight of the cylinder by the area of the end that is in contact with the floor.
First, let's find the weight of the cylinder:
Weight = mass x gravity = 100 kg x 9.8 m/s^2 = 980 N
Next, let's find the area of one end of the cylinder:
Area = π x (0.25 m)^2 = 0.1963 m^2
Since the cylinder is standing on one end, only one end is in contact with the floor, so we will use this area to calculate the pressure:
Pressure = Weight / Area = 980 N / 0.1963 m^2 = 4996 Pa
Therefore, the pressure that the cylinder exerts on the floor is 4996 Pa.
A 100-kg metal cylinder, 2.0m long and with each end of 25 cm^2, stands vertically on one end. What pressure that the cylinder exerts on the floor?
To find the pressure that the cylinder exerts on the floor, we need to divide the weight of the cylinder by the area of the end that is in contact with the floor.
First, let's find the weight of the cylinder:
Weight = mass x gravity = 100 kg x 9.8 m/s^2 = 980 N
Next, let's convert the area of each end from cm^2 to m^2:
Area = (25 cm)^2 x (1 m / 100 cm)^2 = 0.00625 m^2
Since the cylinder is standing on one end, only one end is in contact with the floor, so we will use this area to calculate the pressure:
Pressure = Weight / Area = 980 N / 0.00625 m^2 = 156800 Pa
Therefore, the pressure that the cylinder exerts on the floor is 156800 Pa.
To find the pressure that the cylinder exerts on the floor, we can use the formula:
Pressure = Force / Area
In this case, the force exerted by the cylinder is its weight, given by:
Force = mass * acceleration due to gravity
The mass of the cylinder is given as 100 kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
Now, to calculate the area, we need to consider the end of the cylinder that is in contact with the floor. Since the cylinder is standing vertically on one end, only the area of that end matters. The area of a circle can be calculated using the formula:
Area = pi * radius^2
In this case, the radius is half of the diameter, which is given as 25 cm. Converting cm to meters, the radius is 0.25 m.
Now we have all the information we need to calculate the pressure:
Mass = 100 kg
Acceleration due to gravity = 9.8 m/s^2
Area = pi * (0.25 m)^2 = 0.1963 m^2
Force = 100 kg * 9.8 m/s^2 = 980 N (Newton)
Pressure = Force / Area = 980 N / 0.1963 m^2 ≈ 4992 Pa (Pascal)
Therefore, the metal cylinder exerts a pressure of approximately 4992 Pa on the floor.