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Diffstat (limited to '3204/CH15/EX15.5/Ex15_5.sce')
-rw-r--r-- | 3204/CH15/EX15.5/Ex15_5.sce | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/3204/CH15/EX15.5/Ex15_5.sce b/3204/CH15/EX15.5/Ex15_5.sce new file mode 100644 index 000000000..21e76a53c --- /dev/null +++ b/3204/CH15/EX15.5/Ex15_5.sce @@ -0,0 +1,31 @@ +// Initilization of variables
+v=10 // m/s // speed of the car
+r=200 // m // radius of the road
+t=15 // seconds
+// Calculations
+omega=(v/r) // radian/seconds // angular velocity of the car
+// Velocity in x & y direction is given by eq'n
+v_x=omega*r*sind(omega*(180/%pi)*t) // m/s // value of v_x is -ve but we consider it to be +ve for calculations
+v_y=omega*r*cosd(omega*(180/%pi)*t) // m/s
+// Acceleration in x & y direction is given by
+a_x=omega^2*r*cosd(omega*(180/%pi)*t) // m/s^2 // value of a_x is -ve but we consider it to be +ve for calculations
+a_y=omega^2*r*sind(omega*(180/3.14)*t) // m/s^2 // value of a_y is -ve but we consider it to be +ve for calculations
+a=sqrt(a_x^2+a_y^2) // m/s^2 // total acc
+phi=atand(a_y/a_x) // degrees // direction of acceleration
+// Components in tangential and normal directions
+// Velocity
+v_n=0 // m/s
+v_t=v // m/s
+// Acceleration
+a_n=v^2/r // m/s^2 // normal acc
+a_t=0 // tangential acc
+// angular position of the car after 15 sec
+theta=omega*(180/%pi)*t // degrees
+// Results
+clc
+printf('The component of velocity in X direction (v_x) is %f m/s \n',v_x)
+printf('The component of velocity in Y direction (v_y) is %f m/s \n',v_y)
+printf('The component of acceleration in X direction (a_x) is %f m/s^2 \n',a_x)
+printf('The component of acceleration in Y direction (a_y) is %f m/s^2 \n',a_y)
+printf('The total acceleration is %f m/s^2 and its direction is %f degrees \n',a,phi)
+printf('The normal acceleration is %f m/s^2 and tangential acceleration is %f m/s^2 \n',a_n,a_t)
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