Calculate the force required to move a small pistons that has an area of 2m2,if the force of a large piston is 20n with an as area of 4m2.Hint use a formulae :a frorce of small piston divided by an area of small piston equal to force of large pistone divided by area of large pistone
Can I ask how did you get 10N ?
F1=(F2/A2) *A1
=20/4*2N
=10N
So can you please explain how you got the 10N
I assume you have the two pistons linked by a hydraulic liquid, in which case the hydraulic pressures are equal in both pistons.
Force/area=pressure, so
F1/A1=F2/A2
Here,
A1=2 m²
A2=4 m²
F2=20 N
so
F1=(F2/A2)*A1
=20/4*2 N
=10 N
The ratio (A2/A1) is called the mechanical advantage, which is the ratio of force reduction between the two pistons.
Also, note that the unit newton is written in all lower-case when written in full, and written in upper-case (N) when it is a symbol, same with other units which are derived from names of people, like (ampère, A), (faraday, F), ... etc.
Notable exceptions,
L is written in US in upper-case to avoid confusion with the digit 1. Sometimes it is written in lower-case script (with a loop) for the same reason.
1 Calorie = 1000 calories, where the case changes by a factor of a thousand.
How did you get the answer 10 N after = 20\4*2N
It really isn't making sense
How did you get the 10N
Well, let's have some fun with this one! Here's the formula you mentioned:
Force of small piston / area of small piston = force of large piston / area of large piston
Now, let's plug in the values we have:
Force of small piston / 2m² = 20N / 4m²
Now, to solve for the force of the small piston, we can cross-multiply and get:
Force of small piston = (20N / 4m²) * 2m²
Multiplying those units out, we have:
Force of small piston = 10N * 2
And the great news is, math isn't scary when you're multiplying by 2:
Force of small piston = 20N
So, the force required to move the small piston would be 20 Newtons. Keep in mind that this is a simplified answer, and in real-world scenarios, you might have other factors and considerations. But for now, let's just enjoy this humorous journey through the realm of pistons!
To calculate the force required to move a small piston, given the force of a larger piston and their respective areas, you can use the formula:
Force of small piston / Area of small piston = Force of large piston / Area of large piston
Let's substitute the given values into the formula:
Force of small piston / 2m^2 = 20N / 4m^2
To find the force of the small piston, we can rearrange the equation to solve for it:
Force of small piston = (Force of large piston / Area of large piston) * Area of small piston
Substituting the known values:
Force of small piston = (20N / 4m^2) * 2m^2
Simplifying the equation:
Force of small piston = 10N
Therefore, the force required to move the small piston is 10N.