1.  The Darcy–Weisbach equation states that the power-generating capacity in a hydroelectric system that is lost due to head loss is given by P = ηγQH, where η is the efficiency of the turbine, γ is the specific gravity of water, Q is the flow rate, and H is the head loss. Assume that η = 0.85 ± 0.02, H = 3.71 ± 0.10 m, Q = 60 ± 1m3 /s, and γ = 9800 N/m3 with negligible uncertainty.

 

 

a.  Estimate the power loss (the units will be in watts), and find the uncertainty in the estimate.

b.  Find the relative uncertainty in the estimated power loss.

c.   Which would provide the greatest reduction in the uncertainty in P: reducing the uncertainty in η to 0.01, reducing the uncertainty in H to 0.05, or reducing the uncertainty in Q to 0.5?

 

2.    Let A and B represent two variants (alleles) of the DNA at a certain locus on the genome. Let p represent the proportion of alleles in a population that are of type A, and let q represent the proportion of alleles that are of type B. The Hardy–Weinberg equilibrium principle states that the proportion PAB of organisms that are of type AB is equal to pq. In a population survey of a particular species, the proportion of alleles of type A is estimated to be 0.360 ± 0.048 and the proportion of alleles of type B is independently estimated to be 0.250 ± 0.043.

 

a.   Estimate the proportion of organisms that are of type AB, and find the uncertainty in the estimate.

b.   Find the relative uncertainty in the estimated proportion.

c.   Which would provide a greater reduction in the uncertainty in the proportion: reducing the uncertainty in the type A proportion to 0.02 or reducing the uncertainty in the type B proportion to 0.02?

Found something interesting ?

• On-time delivery guarantee
• PhD-level professional writers
• Free Plagiarism Report

• 100% money-back guarantee
• Absolute Privacy & Confidentiality
• High Quality custom-written papers

Related Model Questions

Feel free to peruse our college and university model questions. If any our our assignment tasks interests you, click to place your order. Every paper is written by our professional essay writers from scratch to avoid plagiarism. We guarantee highest quality of work besides delivering your paper on time.

Grab your Discount!

25% Coupon Code: SAVE25
get 25% !!