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What is the effect on resistance if the radius of a vessel is halved?
If the radius of a vessel is halved, the resistance will increase by a factor of 16. This is because resistance is inversely proportional to the fourth power of the radius (R ∝ 1/r^4). Therefore, a decrease in radius leads to a significant increase in resistance.
Why doubiling the radius of a copper wire leads to decreasing its resistance to one quarter?
If you double the radius of a wire then its cross-sectional area goes up by a factor of four. Put in the simplest way, this means that there's four times as much space for electrons to flow along the wire, hence one quarter the resistance.
When the radius is increased does the period of rotation increased or decreased?
When the radius is increased, the period of rotation will increase. This is because a larger radius means the object has to travel a greater distance in the same amount of time, leading to a longer period of rotation.
What are the factors that determine vascular resistance?
The factors that determine vascular resistance include the radius of the blood vessels (smaller radius increases resistance), the length of the blood vessels (longer length increases resistance), the viscosity of the blood (higher viscosity increases resistance), and the presence of any obstructions or blockages in the blood vessels.
When the diameter of a sphere is decreased by 25 percent the what percent does its curved area decreases?
When the diameter of a sphere is decreased by 25%, its curved surface area decreases by approximately 43.75%. This is because surface area is proportional to the square of the radius, so a 25% decrease in diameter leads to a 43.75% decrease in surface area.
What is the effect on resistance if the radius of a vessel is halved?
If the radius of a vessel is halved, the resistance will increase by a factor of 16. This is because resistance is inversely proportional to the fourth power of the radius (R ∝ 1/r^4). Therefore, a decrease in radius leads to a significant increase in resistance.
What happens if a circle's radius is tripled?
If the radius is tripled then the Area will be greater by a factor of 9. And the circumference will be greater by a factor of 3.
If the radius of an arteriole increases from 2 to 3 mm how does this affect resistance and blood flow?
Intuitively, it's easy to think of blood flow through the arteries in the same way that you think of the flow of water through pipes. Change the radius of the pipe, and you change how fast water flows to them. Likewise, if you change the radius of an arteriole, you change the rate that blood flows through it. The underlying reason behind these observations is the same. Flow (Q) is determined by a pressure gradient (ΔP) and the resistance to flow (R): Q = ΔP / R If you increase resistance, you decrease flow; likewise, decrease resistance and you increase flow. But what determines resistance? Poiseuille's law tells us that resistance (R) is inversely proportional to the fourth power of radius (r). So let's say we take a normal blood vessel and measure the resistance; let's call that resistance R1. Now if we double the vessel radius, what happens to the resistance? Poiseuille's law (see link to left) tells us that if we double the radius, our resistance goes down by a factor of 16. So R2 is one-sixteenth of R1. How does this affect blood flow? For that we go to our original equation that related flow, pressure gradient, and resistance. From that you can see that flow is inversely proportional to resistance. So if you halve resistance, then you double flow; likewise, if you take our example and reduce resistance to a factor of one-sixteenth, then flow increases by a factor of 16. The same principles and steps can be used to figure out what happens when you change the radius of an arteriole from 2 mm to 3 mm. Only this time you're not increasing radius by a factor of 2; you're increasing it by a factor of 3 / 2, or 1.5.
What happened to the FEV1 percent as the radius of the airways was decreased?
FEV 1 (%) will decrease as the airway radius is decreased. FEV 1 (%) is the amount of air that can be expelled from the lungs in one second during forced expiration. If the airway becomes smaller, then the resistance to airflow will increase and FEV 1 (%) will become lower.
What happens to the area of a circle when you triple the radius?
As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.
Does bronchoconstriction make breathing easier or more difficult?
Bronchoconstriction is parasympathetic.... It has a decreased radius and increased resistance. At rest the bronchioles can be constricted, dont need a large diaameter.. therefore airflow is decreased making breathing harder..
Why doubiling the radius of a copper wire leads to decreasing its resistance to one quarter?
If you double the radius of a wire then its cross-sectional area goes up by a factor of four. Put in the simplest way, this means that there's four times as much space for electrons to flow along the wire, hence one quarter the resistance.
What happens to the radius of a circle when the diameter doubles?
It doubles too. The diameter is always twice the radius. Multiplying either of the two by any factor f automatically multiplies the other one by the same factor.
What happens to the volume of a sphere when the radius triples?
The volume increases by a factor of (3)3 = 27 times.
If the radius of a circle is cut in half what happens to the area?
it is cut down by a factor of four since it is proportional to square of radius
What happens to the Surface Area and Volume of a pyramid if the radius and height are divided by 2?
The surface area is reduced by a factor 4, the volume by a factor 8.
How did changing the radius effect FEV1?
Decreased the FEV1 %
