Question

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?

Answer 1

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.

Answer 2

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?

Answer 3

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.