Find the average surface area of a spherical balloon when the radius changes from r =...
Find the average surface area of a spherical balloon when the radius changes from r = 4 to r = 4.05 cm. The surface area formula for a sphere with radius r is A = 4πr^2 . Round to two decimal places.
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Find the average surface area of a spherical balloon when the
radius changes from r =...
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from this the formula for the...
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from this the formula for the area of a sphere of radius r.
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the instantaneous rate of change of its surface area (SA = 4nr2) with respect to its radius r when r = 10cm b) At another time, the instantaneous rate of change is 481 cm2/cm. What is the Surface Area of the balloon at this time?
Positive charge is spread uniformly over the surface of a spherical balloon 70 cm in radius,...
Positive charge is spread uniformly over the surface of a spherical balloon 70 cm in radius, resulting in an electric field of 42 kN/C at the balloon's surface. 1. Find the field strength 50 cm from the balloon's center in kN/C 2. Find the field strength 180 cm from the center. in kN/C 3. What is the net charge on the balloon? in uC
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases...
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
A spherical balloon is being inflated. Find the rate of increase of the surface areas with...
A spherical balloon is being inflated. Find the rate of increase of the surface areas with respect to the radius r when r = 3 ft. S = 42 S'(3) =
A microscopic particle cannon fires spherical particles of radius R, which is a continuous random variable...
A microscopic particle cannon fires spherical particles of radius R, which is a continuous random variable with the PDF given by fR(r) := ( ar + b r ∈ [1, 2] , and 0 else It is further given that fR(2) = 1/2 . (a). Find a and b. (b) Let S = 4πR^2 be the surface area of a particle. Find E(S), the mean surface area. (c). Let V = 4/3 πR^3 be the volume of a particle. Find...
A spherical balloon is partially blown up and its surface area is measured. More air is...
A spherical balloon is partially blown up and its surface area is measured. More air is then added, increasing the volume of the balloon. If the surface area of the balloon expands by a factor of 7.70 during this procedure, by what factor does the radius of the balloon increase?
Air is blown into a spherical balloon so that, when its radius is 6.60 cm, its...
Air is blown into a spherical balloon so that, when its radius is 6.60 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. 164 Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increasing when the radius is 12.50...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of:...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
A spherical rubber balloon carries a total charge Qdistributed uniformly over its surface. At t=0, the radius of...
A spherical rubber balloon carries a total charge Qdistributed uniformly over its surface. At t=0, the radius of the balloon is R. The balloon is then slowly inflated until its radius reaches 2R at the time t0.Determine the electric field due to this charge as a function of time (a) at the surface of the balloon, (b) at the surface of radius R, and (c) at the surface of radius 2R. Ignore any effect on the electric field due to the material of the balloon and...
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from this the formula for the area of a sphere of radius r.
4. The area S enclosed by a circle of radius a in spherical geometry (see Ex. 1) is given by the formula s-2m(1-cosa) COS where r is the radius of the sphere. Deduce from...
6) 7 marks A spherical balloon is being inflated. Using limit theory only: a) Find the instantaneous rate of change of its surface area (SA = 4nr2) with respect to its radius r when r = 10cm b) At another time, the instantaneous rate of change is 481 cm2/cm. What is the Surface Area of the balloon at this time?
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
A spherical balloon is being inflated. Find the rate of increase of the surface areas with respect to the radius r when r = 3 ft. S = 42 S'(3) =
Air is blown into a spherical balloon so that, when its radius is 6.60 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. 164 Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increasing when the radius is 12.50...
2. (30 POINTS) A spherical shell of radius R holds a potential on its surface of: V(R, 0) = V.(1 + 2cose - cos20) (a.) Find the potential inside and outside the sphere. (b.) Find the surface charge density on the sphere. (c.) Find the dipole moment and the dipole term of the electric field, Epip.
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