answersLogoWhite

Top Answer
User Avatar
Wiki User
Answered 2007-10-28 14:31:19

This question can be addressed by simple calculus. As time (t) passes, the radius (r) of the circle increases at 4 feet per second. dr/dt = 4 The area of the circle is equal to pi multiplied by the square of the radius: A = pi x r2 From which we can infer that dA/dr = 2pi x r The radius, then, changes by four feet for every passing second. In turn, the area is increasing at a given moment by (2pi x r) square feet for every added radial foot. If we multiply square feet per footby feet per second we obtain square feet per second, as required by the question. This is the chain rule of differentiation.

dA/dt = dA/dr x dr/dt = 4 x 2pi x r = 8pi x r If r = 10 feet, then the area is momentarily increasing at 8pi x 10 = 80pi = 251 square feet per second.

001
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
๐Ÿ˜‚
0
User Avatar

Your Answer

Loading...

Still Have Questions?

Related Questions

How does radius change from top to bottom in a group in the periodic table?

Atomic radius increases with increasing period number (= going down) within the same group.


Where do you move if the atomic radius increases?

where do you move if the atomic radius increases?


What increases with an increasing atomic number with in a family on the periodic table?

The number of energy levels increase within a group. Therefor the atomic radius increases. So the atomic volume also increases.The atomic radius also increases in a group.For metals, reactivity increases down the group. For non-metals, reactivity decreases down a group.


As each successive element in Group 15 of the Periodic Table is considered in order of increasing atomic number the atomic radius does what?

Increases


As the atomic number increases the atomic radius?

in the same period, as the atomic number increases, the atomic radius decreases. in the same group, as the atomic number increases, the atomic radius increases.


How does atomic radius increases in the periodic table?

atomic radius increases down a group as the number of shells increases


How does a change in radius effect linear velocity?

For circular motion, linear speed = angular speed (in radians) x radius. How the radius affects speed depends what assumptions you make about the problem. For example, if you assume the radius increases but the angular speed does not, then of course the linear speed will increase.


Why does potassium have a large atomic radius than sodium?

potassium has a larger atomic radius than sodium because it has more electrons and thus can not hold the outer ones as firmly as sodium, as a general rule Atomic Radius increases on the periodic table increasing from right to left and also increasing from top to bottom


In uniform circular motion when the radius is increased does the period of rotation increase or decrease?

Given a constant velocity v, a radius r, the equation for the period T is given as:T = 2πr/vSo, as radius r increases, so does the period T.


How are elements ordered by increasing ionization energy?

On the periodic table, ionization energy increases moving left to right within a period and up within a group. It decreases as the atomic radius increases in size.


What is the radius of a cylinder?

The radius of a cylinder is half the thickness of its circular cross section.


What is the radius of a football field?

A football field is rectangular, therefore there is no radius. If it were a circular shape then it would have a radius.


How are the shielding effect and the size of the atomic radius related?

The answer to this question is as radius increases shielding affect increases


What happens to the size of an atom as you move down the periodic table?

The radius increases


What trend in atomic radius do you see as you go down a group on the periodic?

The atomic radius of elements increases as you go down a group. This increase in radius as you go down a period is primarily caused by the increasing principal quantum number of the outer electron shells.


As the diameter of the circle increases what happens to the circumference?

The circumference of a circle increases with an increase in the radius as it is directly proportional its radius.


How does atomic radius change on the periodic table?

As you go across a period, radius shrinks because you are adding protons. The added positive charge increases pull on the electron shells. As you go down a group, radius gets larger because you are increasing shells of electrons. This increases shielding of the nucleus' positive charge, so the electrons are not pulled in as much.


What are the elements from group 2 on the periodic table arranged in order of increasing atomic radius?

The periodic table is arranged in order (across and down the rows) in increasing number of protons in the nucleus; as the number of proton increases the radius of the nucleus generally increases - thus the order is the order reading down group 2: beryllium (least), magnesium, calcium, strontium, barium and radium (largest).


As the radius of a sphere gets larger which of the spheres measurements increases more the surface area or the volume?

The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)


When the atomic number increases what happens to the atomic radius?

In general, atomic radius increases as atomic number increases as electrons are added to the shells farther to the nucleus.


Which has a larger radius li or na?

Sodium. Because, down a group the radius increases as the number of shells / orbitals increases.


What happens to the atomic radius as you move across and down the periodic table?

The radius increases as the number of protons and neutrons increases.


What physical trends for atomic number versus covalent radius?

Overall as atomic number increases covalent radius increases.


A car is travelling at a given instant 40m per ecs on a circular road of radius 400m.its speed is increasing at the rate of 3m per sec.what is its tangential acceleration?

if the speed is increasing at 3 m/s2 then that is the acceleration (if i understand the question correctly)


What is the radius of a 18 foot circular pool?

9