Question

In: Mechanical Engineering

A spherical motile bacteria with a radius of 1.0 microns and a density approximately equal to...

A spherical motile bacteria with a radius of 1.0 microns and a density approximately equal to water is swimming in water (temperature 20 C) at a speed of 8.0 microns per second. The bacteria suddenly stops swimming. Since the Reynolds number for a swimming bacteria is small, it should experience Stokes drag (F?D? = 6????Rv).

(a) How long (in seconds) does it take the bacteria to come to a “complete” stop? We’ll define a “complete” stop to be when the speed has dropped to 25.0 nanometers per second.

(b) How far (in meters) does the bacteria coast in this time?

Solutions

Expert Solution


Related Solutions

An insulated spherical shell of inner radius a1 and outer radius a2 has a charge density...
An insulated spherical shell of inner radius a1 and outer radius a2 has a charge density ρ=6r C/m4. (a) (2 pts.) Based on the symmetry of the situation, describe the Gaussian surface (if any) that could be used to find the electric field inside the spherical shell. (b) (3 pts.) Starting from the definition of charge enclosed, briefly derive the integral expression for the charge enclosed inside a Gaussian surface within the insulated spherical shell for the given charge density....
Approximately spherical particles of diameter 150? and density 2650 kg/m3 settle through a liquid of density...
Approximately spherical particles of diameter 150? and density 2650 kg/m3 settle through a liquid of density 1097 kg/m3 and dynamic viscosity 3.8 mPa s. The volume fraction of particles is 30% in a container of internal diameter 2 cm Calculate: a)The absolute settling velocity that is apparent to the stationary observer in the lab frame. b)The slip velocity (Us) between solid and liquid phases. c) The superficial velocity of the particles in the lab frame.
A spherical shell of radius a has a uniform surface charge density σ and rotates with...
A spherical shell of radius a has a uniform surface charge density σ and rotates with a constant angular velocity ω in relation to an axis that passes through its center. In this situation, determine the magnetic dipole moment μ of the spherical shell.
Consider a spherical shell with radius R and surface charge density σ. By integrating the electric...
Consider a spherical shell with radius R and surface charge density σ. By integrating the electric field, find the potential outside and inside the shell. You should find that the potential is constant inside the shell. Why?
A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3. This goes...
A bubble is sphere with 10 mm radius and a density of 1.0 kg/m^3. This goes up in a glass of water which has Pwater=0.95 g/cm^3. It starts at the bottom of a glass which is 10 cm tall. Cd=0.8 Hypothesize how long it would take the bubble to rise to the top of the glass. Draw a complete force diagram of the bubble, including weight, buoyancy and drag forces. Make sure your coordinate axis points in the direction of...
An approximately spherical, black asteroid (emissivity equal to one) of diameter 2km is orbiting the sun...
An approximately spherical, black asteroid (emissivity equal to one) of diameter 2km is orbiting the sun at a distance from the sun 10 times larger than the distance from the sum to the earth a) What is the tempature of this asteroid? b) What is the wavelength of radiation it emits with maximum intersity? c) What rediation intersity emitted by the asteroid would be observed on Earth (when the asteroid makes its closet approach, assuming a circular orbit)? Solar constant...
Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a...
Find the relation between the Euclidean radius and the spherical radius of spherical circle. Include a picture.
Consider a spherical charge distribution of radius R with a uniform charge density ρ. Using Gauss'...
Consider a spherical charge distribution of radius R with a uniform charge density ρ. Using Gauss' Law find the electric field at distance r from the axis where r < R.
surface charge density which is σ=σ0 cosθ is distributed on the spherical shell with radius R...
surface charge density which is σ=σ0 cosθ is distributed on the spherical shell with radius R .Using the Laplace eqn find electric potential outside the sphere .
A spherical shell with radius R and superficial charge density, It rotates around the z-axis through...
A spherical shell with radius R and superficial charge density, It rotates around the z-axis through its center with a constant angular frequency. The magnetic field formed in the center as a result of the rotation of the spherical shell Found it.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT