Particles in liquids achieve terminal speed very quickly. One can measure the time it takes for a particle to fall a certain distance and then calculate the constant B. Suppose a steel ball bearing (mass-0.86 grams) is dropped in a container of motor oil. It takes 12 s to fall 0.60 m. (a) Estimate the terminal speed, Vie, assuming the ball bearing reaches terminal speed almost immediately. (answer: Vier 0.050 m/s) (b) Calculate B. (answer: 0.17 kg/s) (c) What is the speed of the ball bearing 11 ms after it is dropped? (answer: 0.044 m/s)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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Particles in liquids achieve terminal speed very quickly. One can measure the time it takes for a
particle to fall a certain distance and then calculate the constant B. Suppose a steel ball bearing
(mass=0.86 grams) is dropped in a container of motor oil. It takes 12 s to fall 0.60 m.
(a) Estimate the terminal speed, Viem, assuming the ball bearing reaches terminal speed almost
immediately. (answer: Vterm 0.050 m/s)
(b) Calculate B. (answer: 0.17 kg/s)
(e) What is the speed of the ball bearing 11 ms after it is dropped? (answer: 0.044 m/s)
Transcribed Image Text:Particles in liquids achieve terminal speed very quickly. One can measure the time it takes for a particle to fall a certain distance and then calculate the constant B. Suppose a steel ball bearing (mass=0.86 grams) is dropped in a container of motor oil. It takes 12 s to fall 0.60 m. (a) Estimate the terminal speed, Viem, assuming the ball bearing reaches terminal speed almost immediately. (answer: Vterm 0.050 m/s) (b) Calculate B. (answer: 0.17 kg/s) (e) What is the speed of the ball bearing 11 ms after it is dropped? (answer: 0.044 m/s)
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