Chapter 1 : Introduction

Example 1.1 Page No : 3

In [3]:
import math 

# Variables
L = 20. 			#ft
angle = 30.			#degrees

# Calculations
d = L*math.sin(math.radians(angle))

# Results
print  'Desitance from foot of Ladder = %.2f ft'%(d)

Desitance from foot of Ladder = 10.00 ft

Example 1.2 Page No : 5

In [4]:
import math 


# Variables
a = 5.
b = 12.
angle = 60. 			#degrees

# Calculations
c = math.sqrt(a**2+b**2-2*a*b*math.cos(math.radians(angle)))

# Results
print  'c  = %.1f '%(c)

c  = 10.4

Example 1.3 Page No : 5

In [5]:
			
import math 

# Variables
a = 5.
b = 12.
angle = 120. 			#degrees
			
# Calculations
c = math.sqrt(a**2+b**2-2*a*b*math.cos(math.radians(angle)))
			
# Results
print  'c  = %.1f '%(c)

c  = 15.1

Example 1.4 Page No : 6

In [7]:
import math 
			
# Variables
b = 12.
angle1 = 35. 			#degrees
angle2 = 43. 			#degrees
			
# Calculations
angle3 = 180-angle1-angle2
a = math.sin(math.radians(angle2))*b/math.sin(math.radians(angle3))
c = a*math.sin(math.radians(angle1))/math.sin(math.radians(angle2))
			
# Results
print  'c  = %.2f '%(c)
print  'a = %.2f.'%(a)

c  = 7.04 
a = 8.37.

Example 1.5 Page No : 7

In [5]:
import math 
			
# Variables
Wofaninch = 0.29 			#lb
L = 3.5     	    		#ft
width = 1.75 		    	#ft
t = 1.   	    		    #in
			
# Calculations
W = L*width*t*12*12*Wofaninch
			
# Results
print  'W  = %.f lb'%(W)

W  = 256 lb

Example 1.6 Page No : 7

In [6]:
import math 
			
# Variables
V = 30. 			#mph
			
# Calculations
Vinfps = V*5280*(1./60)*(1./60)
			
# Results
print  'v  = %.f fps'%(Vinfps)

v  = 44 fps