A vertical shaft whose cross-sectional area is 0.8 cm2 is attached to the top of the piston. Determine the magnitude, F, of the force acting on the shaft, in N, required if the gas pressure is 3 bar. The masses of the piston and attached shaft are 24.5 kg and 0.5 kg, respectively. The piston diameter is 10 cm. The local atmospheric pressure is 1 bar. T

The force acting on the shaft is 1324.75 N

Explanation:

Given that,

Cross sectional area of shaft

Gas pressure

Total mass M=24.5+0.5=25 kg

Diameter of piston, d=10 cm

We need to calculate the cross section area of piston

Using formula of area

Put the value into the formula

We need to calculate the weight of the piston and shaft

Using formula of weight

Put the value into the formula

We need to calculate the force due to gas pressure

Using formula of force

Put the value into the formula

We need to calculate the force due to atmospheric pressure,

Using formula of force

Put the value into the formula

We need to calculate the force acting on the shaft

from free body diagram

Put the value into the formula

Hence, The force acting on the shaft is 1324.75 N