A child wants to pump up a bicycle tire so that its pressure is 1.2 × 105 pa above that of atmospheric pressure. if the child uses a pump with a circular piston 0.035 m in diameter, what force must the child exert?

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aristeus aristeus · Answer 1 · 2019-11-29T10:19:26+01:00

Answer:

The force exerted by the child is 460.8 N

Explanation:

We have given that pressure [tex]P=1.2\times 10^5pa[/tex]

Radius of the circular piston r = 0.035 m

So area [tex]A=\pi r^2=3.14\times 0.035^2=0.003846m^2[/tex]

We have to find the force exerted by the child

We know that force is given by

[tex]Force=pressure\times area[/tex]

So force will be [tex]Force=1.2\times 10^5\times 0.00384=460.8N[/tex]

So the force exerted by the child is 460.8 N

samuelonum1 samuelonum1 · Answer 2 · 2021-09-17T16:14:33+02:00

Pressure

The definition of pressure is given as the force per unit area

The unit of pressure is Newton

Explanation:

Given data

Pressure = 1.2 × 105 pa

diameter = 0.035 m

We know that the expression for pressure is given as

Pressure = Force/Area

Making Force the subject of the formula

Force = Pressure * Area

But we do not know the area

Now let us find the area

Area = πd^2/4

Area= (3.142*(0.035)^2)/4

Area = 3.142*0.001225/4

Area= 0.00384895/4

Area= 0.000962 m^2

Force = 1.2 × 10^5*0.000962

Force = 115.44 Newton

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