Project #42639 - Physical Quantities

 

Hello, this is an assignment on the subject of physical quantities.

I want the answer's with detailed explanation please (as I'm supposed to do that in a tutorial)

 

Question 1: Trigonometry

Use trigonometry to measure the height of the big twin chimneys at the back of LGI (Clarendon Way) (Report your result and outline briefly how you found it).

P.S: here are some links to know what the question is talking about,,

https://www.google.co.uk/maps/@53.8035991,-1.554153,3a,75y,150.3h,123.87t/data=!3m4!1e1!3m2!1sJpq2ufeebgqrbnOalQeSdQ!2e0

https://www.flickr.com/photos/zombola/2274586634/

 

Question 2: Geometrical concepts
Two vectors a and b have coordinates (2,3) and (-1,1) in a cartesian reference frame (for

each question, report the result and outline briefly how you found it).
a) What is the length of their sum
a+b?
b) What is the angle between
a and a+b?
c) Rotate the reference frame over 30 degrees. What are the coordinates of
a and b now?

 

Question 3: Vector fields

Transverse magnetisation in MRI is a vector with two components Mx and My in a cartesian reference frame. An image is acquired and it is observed that Mx and My at any given coordinate (x,y) look like this: Mx = M0*cos(ax-by) and My = M0*(x+y)/c. The values of the parameters are M0 = 1 A/m, a = 3/cm, b = 5/cm and c = -1cm.

a) If an image has dimensions 12cm x 12cm and 4 pixels in each direction, determine the values of Mx and My at the center of each pixel (report 2 tables with 4x4 values each).

b) Visualise the resulting vector field by drawing the arrows at each pixel centre (report the resulting figure). 

 

Please dont bid if you are not familiar with the questions.

Thank you.

Subject Mathematics
Due By (Pacific Time) 10/08/2014 09:00 am
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