A spherical dust particle, with a radius a = 0.108 mm and density of 1380 kg/m³, is sedimenting in the quiescent air that has a viscosity of μ = 1.81x10-5 kg/m . s. The particle experiences the gravitational force, with g = 9.81m/s², as well as a friction force from the viscous air that can be described by F = -блμаU, where U is the instantaneous velocity of the particle. The motion of the particle is governed by the Newton's second law. At the time t = 0, the dust particle has a downward speed of 0.19 m/s.
A spherical dust particle, with a radius a = 0.108 mm and density of 1380 kg/m³, is sedimenting in the quiescent air that has a viscosity of μ = 1.81x10-5 kg/m . s. The particle experiences the gravitational force, with g = 9.81m/s², as well as a friction force from the viscous air that can be described by F = -блμаU, where U is the instantaneous velocity of the particle. The motion of the particle is governed by the Newton's second law. At the time t = 0, the dust particle has a downward speed of 0.19 m/s.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text:Use the Euler's method, and a time step of h=0.1s, calculate
When t = 0.1s, the downward speed of the dust particle is
Transcribed Image Text:●
A spherical dust particle, with a radius a = 0.108 mm and density of
1380 kg/m³, is sedimenting in the quiescent air that has a viscosity of
μ = 1.81x10-5 kg/m s. The particle experiences the gravitational
force, with g = 9.81m/s2, as well as a friction force from the viscous
air that can be described by F = −6лµаU, where U is the
instantaneous velocity of the particle. The motion of the particle is
governed by the Newton's second law. At the time t = 0, the dust
particle has a downward speed of 0.19 m/s.
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