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A spherical dust particle, with a radius a = 0.119 mm and density of 1220 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 = -6μaU, 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 0.14 m/s. 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 m/s

A spherical dust particle, with a radius a = 0.119 mm and density of 1220 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 = -6μaU, 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 0.14 m/s. 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 m/s

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A spherical dust particle, with a radius a = 0.119 mm and density of 1220 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 0.14 m/s. 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 m/s
Transcribed Image Text:A spherical dust particle, with a radius a = 0.119 mm and density of 1220 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 0.14 m/s. 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 m/s
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