Created
November 13, 2012 10:37
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One dimensional simulation of a falling object
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#One dimensional gravity simulation. | |
#Programmed by Evan Weinberg | |
#v0.1 - Initial program | |
initial_height = 30 #meters | |
initial_velocity = 10 #m/s | |
mass = 1 #kilogram | |
g = 9.81 #m/s^2 | |
is_ground = True #Set this to True if you want to simulate the ground. | |
is_there_air_resistance = True #Set this to True to turn on air resistance. | |
air_resistance_coefficient = 0.1 #N*s^2/m^2 | |
steps = 50 #This is how many data points you want to collect | |
total_time = 5 #seconds | |
print_data = True | |
#Simulation data | |
delta_t = total_time*1./(steps*10) | |
current_t = 0 | |
current_y = initial_height | |
current_v = initial_velocity | |
i = 0 | |
data = [] | |
data.append([current_t,current_y,current_v]) | |
def is_air_resistance(is_there_air_resistance): | |
if is_there_air_resistance == True: | |
return 1 | |
else: | |
return 0 | |
def sgn(x): | |
if(x >0): | |
return 1 | |
else: | |
return -1 | |
while(current_t < total_time): | |
current_t+=delta_t | |
accel = 1./mass*(-mass*g-is_air_resistance(is_there_air_resistance)*air_resistance_coefficient*sgn(data[i][2])*data[i][2]**2) | |
v = data[i][2]+accel*delta_t | |
y = data[i][1] + data[i][2]*delta_t+0.5*accel*delta_t**2 | |
if(y<0 and is_ground == True): | |
y = 0 | |
data.append([current_t,y,v]) | |
i = i + 1 | |
#print 't = %s, x = %s, v = %s'%(str(current_t), str(y), str(v)) | |
print "Completed calculations." | |
outFile = open('gravitysim.txt','w') | |
count = 0 | |
for row in data: | |
if(count==0): | |
count = 0 | |
new_t = row[0] | |
new_y = row[1] | |
output = str(new_t)+','+str(new_y)+'\n' | |
outFile.write(output) | |
if(print_data == True): | |
print (output) | |
count+=1 | |
if(count ==9): | |
count = 0 | |
outFile.close() | |
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