The Graduate School Information Channel, Sponsored by:
Dimensional analysis practice worksheet
(full story below)
This post is about Dimensional analysis practice worksheet practice these problems and try to solve them in one hour.

Question 1 The parallax of a heavenly body measured from two points diametrically opposite on the equator of the earth is 1.0 minute. If the radius of the earth is 6400 Km, find the distance of heavenly body from the center of the earth in AU. Take 1AU=1.51011m.
Question 2 A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the gauge arbitrarily by increasing the number of divisions on the circular scale?
Question 3 Assuming that the frequency ([Math Processing Error]ν) of the vibrating string depends upon the load (F) applied , length of the string (l) and mass per unit length (m), prove that
[Math Processing Error]ν=12lFm
Question 4 What are the dimensions of
(a) gravitational constant
(b) work
(c) angular velocity
(d) pressure
Question 5 Write the dimensions of a/b in the relation
[Math Processing Error]F=ax+bt2
Where F is force, x is distance and t is time.
Question 6 Check the correctness of the relation
[Math Processing Error]ρ=3g4πrG
Where symbols have usual meaning.
Question 7 The coefficient of viscosity ([Math Processing Error]η) of a gas depends upon mass m, the effective diameter d, and mean speed v of the gas molecules. Use dimensional analysis to find the relation between them.
Question 8 The potential difference of V=201 Volt , when applied across a resistance gives a current of 2.50.5 ampere. Find the resistance with limits of error.
Question 9 Convert 4.29 light years into parsecs. Calculate the parallax of a star at the distance when viewed from two locations of earth six months apart in its orbit around the sun.
Question 10 In an experiment, on determining the density of a rectangular block, the dimensions of the block are measured with a Vernier calipers (with a least count of 0.01 cm) and its mass is measured with a beam balance of least count of 0.1 g. How do we report our result for the density of the block.
Question 11 It is required to find the volume of a rectangular block. A Vernier calipers is used to measure the length, width and height of the block. The measured values are 1.37 cm, 4.11 cm, and 2.56 cm respectively.
Answer the following questions
Question 1 What is relative error or percentage error?
Question 2 What is Parallax error?

Question 3 How errors are propagated or combined?
Check Out More Graduate School Articles & Content
Why African Americans Should Consider Going to Law School...
What Ive Learned in 10 Years of Zen Habits
University of Washington List for Available Fellowships
ASU Alumni Profiles
Quick Content Search
Search Grad School Content:
Enter keywords below to see a list of Graduate School related articles on our site!  
Florida Coastal Law's Practitioner Clinics
Florida Coastal Law's Practitioner Clinic is an innovative course offering students a chance to work closely on pro bono cases with a practicing lawyer. Students are often invited to work on these cases in the practitioner's office off campus, and the Clinics are offered as two credits with an evening classroom component.
Visit Site >
Florida Coastal Law Offers LLM & Certificate in Logistics & Transportation
Florida Coastal Law is the first law school in the U.S. to offer an online LL.M. Degree or Certificate in Logistics & Transportation. Students in the 24-credit LL.M. or 12-credit Certificate program gain expertise in global logistics and transportation law through cutting-edge courses taught by attorneys and industry professionals online.
Visit Site >
Share Graduate School Content!
Got info to share with the community? Post Graduate School content here!
Post Content>
Interested In Grad School? Questions?
Graduate School Interest:
Enter your name and email address to have a representative contact you with graduate school information!
First Name:
Last Name:
Email:
Sponsored Content Create an Ad
Follow Us!
Link To Us!
Do you have a website? Link to HBCU Connect!