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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1172/CH8/EX8.14 | |
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initial commit / add all books
Diffstat (limited to '1172/CH8/EX8.14')
-rwxr-xr-x | 1172/CH8/EX8.14/8_14.txt | 5 | ||||
-rwxr-xr-x | 1172/CH8/EX8.14/Example8_14.sce | 21 |
2 files changed, 26 insertions, 0 deletions
diff --git a/1172/CH8/EX8.14/8_14.txt b/1172/CH8/EX8.14/8_14.txt new file mode 100755 index 000000000..24a62f538 --- /dev/null +++ b/1172/CH8/EX8.14/8_14.txt @@ -0,0 +1,5 @@ + # Problem 14 #
+
+ Standard formula used 1/2 *(m_s * v ^2 / r) = g * R_E^2 * m /R_e^2
+ Magnitude and direction of impulse required are respectively 8.047626e+05kgm/s and 18.098444 degree.
+
diff --git a/1172/CH8/EX8.14/Example8_14.sce b/1172/CH8/EX8.14/Example8_14.sce new file mode 100755 index 000000000..10da8732e --- /dev/null +++ b/1172/CH8/EX8.14/Example8_14.sce @@ -0,0 +1,21 @@ +clc
+//Given that
+h = 600 // distance of satellite from surface of Earth in km
+R_e = 6400 // radius of Earth in km
+m_s = 100 // mass of satellite in kg
+g = 10 // gravitational acceleration in m/s2
+v_y = 2500 // upward velocity of launched satellite
+// sample problem 14 page No. 306
+printf("\n\n\n # Problem 14 # \n")
+
+printf("\n Standard formula used 1/2 *(m_s * v ^2 / r) = g * R_E^2 * m /R_e^2 ")
+r = R_e + h// calculation of effective height of satellite
+
+v = sqrt (g * (R_e * 1e3)^2 / (r * 1e3)) // calculation of orbital velocity of satellite
+
+P_x = m_s * v// calculation of momentum in x direction
+P_y = m_s * v_y// calculation of momentum in y direction
+U = sqrt(P_x^2 + P_y^2 ) // calculation of magnitude of impulse required
+
+theta = (180 / %pi) * atan (P_y / P_x ) // calculation of direction of impulse required
+printf ("\n Magnitude and direction of impulse required are respectively %ekgm/s and %f degree.",U , theta)
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