1.2. A force balance in a particular fluid flow is combined with Newton's second law to yield the equation d z dz +bz =c +a- dt dt? where p, z, and t are dimensional variables with the following dimensions: p ML , z [L], and t [T]. (a) Determine the dimensions of the system parameters a, b, and c. (b) If standard SI units are to be used in the given equation and values of p, z, and t are provided in g/cm°, mm, and h, respectively, what conversion factors must be applied to these variables before they are used in the equation?
1.2. A force balance in a particular fluid flow is combined with Newton's second law to yield the equation d z dz +bz =c +a- dt dt? where p, z, and t are dimensional variables with the following dimensions: p ML , z [L], and t [T]. (a) Determine the dimensions of the system parameters a, b, and c. (b) If standard SI units are to be used in the given equation and values of p, z, and t are provided in g/cm°, mm, and h, respectively, what conversion factors must be applied to these variables before they are used in the equation?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![1.2. A force balance in a particular fluid flow is combined with Newton's second law to yield the equation
d z
dz
+bz =c
+a-
dt
dt?
where p, z, and t are dimensional variables with the following dimensions: p
ML , z [L], and t [T]. (a) Determine the dimensions of the system parameters a, b, and c. (b) If standard SI
units are to be used in the given equation and values of p, z, and t are provided in g/cm°, mm, and h, respectively, what conversion factors must be applied to these variables before they
are used in the equation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d2c968e-ac91-4bcb-9691-ca5846c2bc7f%2F0235ccc9-54ab-4295-aff0-629c1753e351%2Fq8tdx9h.jpeg&w=3840&q=75)
Transcribed Image Text:1.2. A force balance in a particular fluid flow is combined with Newton's second law to yield the equation
d z
dz
+bz =c
+a-
dt
dt?
where p, z, and t are dimensional variables with the following dimensions: p
ML , z [L], and t [T]. (a) Determine the dimensions of the system parameters a, b, and c. (b) If standard SI
units are to be used in the given equation and values of p, z, and t are provided in g/cm°, mm, and h, respectively, what conversion factors must be applied to these variables before they
are used in the equation?
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