The velocity V of sound in air at temperature T is given by where T is measured in kelvins (K) and V is in m/s. Assume that T = 300 ± 0.4 K. Estimate V, and find the uncertainty in the estimate.
Step 1 of 3
Step1 of 2:
We have velocity of sound in air = V
Temperature = T.
Also we have V = and T = 3000.4K that is
Where V is measured in m/s. And T is measured in Kelvin.
We need to find the uncertainty in the estimate.
Step2 of 2:
Hence, V = 347.1029.
Again consider the function V =
Differentiate above equation with respect to T we get
Hence, = 1.1570.
The estimate of uncertainty is given by
Hence, = 0.4627.
Therefore, The estimate of uncertainty is V = 347.10290.4627.
The estimate of uncertainty is V = 347.10290.4627.
Textbook: Statistics for Engineers and Scientists
Author: William Navidi
This full solution covers the following key subjects: estimate, measured, air, Find, given. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 4E from 3.3 chapter was answered, more than 412 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 4E from chapter: 3.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “The velocity V of sound in air at temperature T is given by where T is measured in kelvins (K) and V is in m/s. Assume that T = 300 ± 0.4 K. Estimate V, and find the uncertainty in the estimate.” is broken down into a number of easy to follow steps, and 42 words.