Posted: September 14th, 2017

mathematics

1.    List at least four ways to catch errors in engineering calculations.
2.    The following questions concern the speed of world-class sprinters.
•    Without any data, estimate the speed of world-class sprinters in miles per hour (mph). Is it 1mph? 10mph? 100mph? Higher?
•    A young engineer reads that the world record for the 200 m is 19.32s. The engineer calculates the velocity as follows:
(Warning: The following derivation may contain one or more errors)
•    Velocity=distance/time
Distance=200m= (200m)(6.21*10-4 miles/s)=0.124mile
Time=19.32s=(19.32s)(2.78*10-5 hours/s)=5.37*10-4hours
Velocity= (0.124mile)/(5.37*10-4hours)=231mph
Does this answer fit your estimate in part (a)? Identify the errors (if any) in the approach calculation.
3.    The farthest recorded distance for shooting a champagne cork is about 178 ft. Using the information in Section 6.6.3, what initial cork velocity (in SI base units) would be required to reach 178ft, assuming little air resistance and the optimum launch angle?
4.    Using the Help functions in your favorite spreadsheet software, find and report the spreadsheet functions used to calculate the arithmetic mean, geometric mean, Harmonic mean, median, mode, sample standard deviation, and population standard deviation.
5.    Using the data in section 8.4.2, how does median change when one fuel efficiency value is changed? Does this make sense?