Question

Computer Science V=(2piRcos(L))/(365(24)Y) given that Vis velocity, R is the radius of the earth, L is the latitude in degrees, and Y is the time of planetary orbit in years. Use this relation to plot a graph in Mathematica that presents the velocity versus latitude for the full range of 90°N to 90°S. Show code and final result.

Solve the problem

Answer 1

Taking R(Radius of earth in Kilometers)

Y in years

V will be in terms of kilometers/hour

Code:-

R = 6378

Y = 1

N = 2*Pi*R

D = 365*24*Y

Plot[N*Cos[x]/D,{x,-90,90}]

Explanation

R,Y are the variables of radius of earth and Y is in years.

N,D are the Numerators and Denoinators of the given expression.

We are printing the Plot which is N*cos(x)/D, Here X is the latitude from -90 to 90 degrees.The velocity is in units of Kilometers/hour.

Output Plot

V vs - - 30 60 40 20 0 20 40 60 80 100 |