Question

MATLAB QUESTION !!! PLEASE USE MATLAB FOR BOTH QUESTIONS!!! THANKS

1) Find the volume of a cone if the radius 13 meters and height is 22 meters. πη2h V=- 3 2) Find the gamma constant for objects traveling close to the speed of light. Here we are experimenting several speeds of light constants (even though the true speed of light is known). Below are the velocities of the objects and the speed of light constants used. V=[ 2.9, 2.6, 1.7, 2.1, 3, 1.01, 2.36] * 10^8 m/s C [3, 3.1, 2.9] *10^8 m/s 1 V=- 02 c2

Answer 1

% Matlab code to calculate Volume of the cone

r = 13; % radius of the cone
h = 22; % height of the cone

v = (pi*r*r*h)/3 % Volume of the cone

% OUTPUT : v = 3893.5

% Matlab code to find gamma constant

V = [2.9,2.6,1.7,2.1,3,1.01,2.36]* 10^8
C = [3,3.1,2.9]*10^8

for i = 1:length(C)

fprintf(" Gamma value at C = %d \n\n",C(i))

for j = 1:length(V)
   fprintf(" For V = %d \t ",V(j))
   temp = 1- (V(j)/C(i))^2 ;
   gamma = 1/sqrt(temp)
   fprintf("\n");
end

end

% IOUTPUT :

Gamma value at C = 300000000 For V = 290000000 gamma = 3.9057 For V = 260000000 gamma = 2.0045 For V = 170000000 gamma = 1.2137 For v = 210000000 gamma = 1.4003 For V = 300000000 gamma = Inf For V = 101000000 gamma = 1.0620 For V = 236000000 gamma = 1.6198 Gamma value at C = 310000000 For V = 290000000 gamma = 2.8299 For V = 260000000 gamma = 1.8363 For V = 170000000 gamma = 1.1959 For v = 210000000 gamma = 1.3594 For V = 300000000 gamma = 3.9691 For V = 101000000 gamma = 1.0577 For V = 236000000 gamma = 1.5422

Gamma value at C = 290000000 For V = 290000000 gamma = Inf For V = 260000000 gamma = 2.2576 For V = 170000000 gamma = 1.2343 For v = 210000000 gamma = 1.4500 For V = 300000000 gamma = 0 - 3.7755i For V = 101000000 gamma = 1.0668 For V = 236000000 gamma = 1.7207