A meteorologist is inflating a spherical balloon to carry an instrument package aloft. If the balloon's radius increases from 0.164 m to 0.450 m, what is the ratio of its final volume to its initial volume?
A meteorologist is inflating a spherical balloon to carry an instrument package aloft. If the balloon's...
A spherical balloon is inflating with helium at a rate of 641 it? min How fast is the balloon's radius increasing at the instant the radius is 2 ft? Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dv dr dt (Type an exact answer, using a as needed. Type an expression using r...
Helium filled balloons are used to carry scientific instrument high into the atmosphere. Suppose that a balloon is launched when the tempreture is 22.58 and the barometica pressure is 754 mmity. If the balloon's volume e is 4.19 X 10² L, what will be at a heights of 20 miles, where the pressure is 70.0mmity a and the tempreture is -33.0c?
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
A spherical weather balloon is filled with hydrogen until its radius is 3.00 m. Its total mass including the instruments it carries is 15.0 kg. The balloon is released from the ground. 6. aw free body diagram of the balloon, assuming the air resistance is negligible. b) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. What is the net force acting on the balloon and its instrument? c) hy does the radius...
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.
(17 points) During a percutaneous angioplasty the vessel wall is expanded by inflating a balloon. At a certain moment during inflation the internal pressure was at p 0.2 MPa-while the internal radius of the vessel wall increased by 10% from 1 .5 m m. At the same state, the wall thickness decreased from 0.31 mm down to 0.28 mm, Assuming that the tength of the balloon and the length of the vessel wall in contact with the balloon do not...
A spherical weather balloon is filled with hydrogen until its radius is 3.10 m. Its total mass including the instruments it carries is 16.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon tend to increase as it rises to...
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...
A helium balloon floats still at an altitude of 1.39 km. The balloon has a spherical shape with a diameter of 11.0 m, and its skin and structure has a mass of 311.5 kg. a.) What is the absolute pressure at this altitude? Assume a constant density for air. b.) Calculate the buoyant force the air exerts on the balloon. c.) How much cargo can the balloon carry, in kg?
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?