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

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer