Solution Found!
Refer to Exercise 10 in Section 3.2. Assume that ? = 35.2
Chapter 3, Problem 21E(choose chapter or problem)
Refer to Exercise 10 in Section 3.2. Assume that \(\tau=35.2\pm0.1\mathrm{\ Pa}\), \(h=12.0\pm0.3\mathrm{\ mm}\), and \(\mu=1.49\mathrm{\ Pa}\cdot\mathrm{s}\) with negligible uncertainty. Estimate \(V\), and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
tau = 35.2 pm 0.1 Pa
h = 12.0 pm 0.3 mm
mu = 1.49 Pa cdot s
V
Questions & Answers
QUESTION:
Refer to Exercise 10 in Section 3.2. Assume that \(\tau=35.2\pm0.1\mathrm{\ Pa}\), \(h=12.0\pm0.3\mathrm{\ mm}\), and \(\mu=1.49\mathrm{\ Pa}\cdot\mathrm{s}\) with negligible uncertainty. Estimate \(V\), and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
tau = 35.2 pm 0.1 Pa
h = 12.0 pm 0.3 mm
mu = 1.49 Pa cdot s
V
ANSWER:Solution :
Step 1 of 1:
The velocity in the top plate relative to the bottom plate V is
V=
Where is the shear stress applied to the top plate.
Here ,
.
h is the thickness of the fluid layer.
Here ,
and
is the velocity of the fluid.
Here .
Our goal is :
We need to estimate V and the relative uncertainty in the estimate.
Now we need to estimate V and the relative uncertainty in the estimate.
First, we have to estimate the V value.
We know that