A spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in the quiescent air that has a viscosity of μ=1.81×10−5 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=−6πμaU, 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 0.17m/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=0.11mm and density of 1030kg/m3, is sedimenting in the quiescent air that has a viscosity of μ=1.81×10−5 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=−6πμaU, 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 0.17m/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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A spherical dust particle, with a radius a=0.11mm and density of 1030kg/m3, is sedimenting in the quiescent air that has a viscosity of μ=1.81×10−5 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=−6πμaU, 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 0.17m/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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