Physics

In this repository dedicated to physics you will find various python codes to calculate for example:

• Bullet motion
• Centripetal acceleration
• Pendulum
• How to calculate height
• Free fall

Bullet-motion

The code in which the motion of the projectile is calculated calculates how long and at what speed an object falls to the ground, neglecting friction.

• First the code asks what the gravity is and sets its half as a variable that will be used in moving forward with the calculations

gravity = float(input("inserire  gravità (m/s*s) "))												
Half_gravity = gravity * 0.5 * -1	

• It asks if you already have the speed and if you don't have it you need to enter the space and time, then the code will set a new variable called speed

if Ask_speed == ("no"):																			
	time = float(input("inserire intervallo di tempo per calcolare velocità (s) "))
	Space = float(input("inserire intervallo di spazio per calcolare velocità (m) "))
	Speed = Space / time
	print("velocità = ", Speed, "m/s", "    ", Speed * 3.6, "km/h")
else:
	Speed = float(input("inserire velocità m/s "))
	print("velocità = ", Speed, "m/s", "    ", Speed * 3.6, "km/h")

• then it asks for height in meters and the angle at which the object is thrown

Height = float(input("inserire  altezza (m) "))
Angle = float(input("inserire angolo (°) "))

• transform the angle into radians and set v0x and v0y as variables

angoloTrasformato = Angle / 57
angolo_Cos = math.cos(angoloTrasformato)
angolo_Sin = math.sin(angoloTrasformato)
V0x = Speed * angolo_Cos
V0y = Speed * angolo_Sin

• sets the delta of the second degree equation as variqable and his root

Delta = V0y*V0y - 4 * Height * Half_gravity
RadiceDelta = Delta**(1/2)

• calculates maximum height, flight time and final speed always thanks to the system between the uniformly accelerated rectilinear motion and the hourly wind

Fly_time = Numeratore / gravity * -1
print("Tempo di Volo", Fly_time, "secondi")
Distance_X = V0x * Fly_time
print("distanza = ", Distance_X, "metri")
half_time= Fly_time / 2
print("Altezza Massima", Half_gravity * half_time * half_time + V0y * half_time + Height, "metri")
print("velocità finale",  Speed+gravity*Fly_time, "m/s")

Centripetal acceleration

• First the code asks what the gravity is and sets its half as a variable that will be used in moving forward with the calculations

gravity = float(input("inserire  gravità (m/s*s) "))												
Half_gravity = gravity * 0.5 * -1	

-the code ask which program do you want to run

ask=input("velocità angolare - frequenza - accellerazione centripeta ")

then you should tell him the radious and the period depends which program you need

raggio = float(input("inserire raggio m "))
Periodo = float(input("inserire periodo s "))

then the program makes simple calcules to calculate the argoment you need

if ask == ("velocità angolare"):
	angular_speed = (6.28 * raggio) / Periodo
	print("velocità angolare = ", angular_speed, "km/h")
		
if ask==("accellerazione centripeta"):
	angular_speed = (6.28 * raggio) / Periodo
	Accellerazione_centripeta= angular_speed * angular_speed / raggio
	print("accellerazione centripeta = ", Accellerazione_centripeta, "m/s*s")
		
if ask == ("frequenza"):
	frequenza=1/Periodo
	print("la frequenza è ", frequenza,"hz")

New update

With the new update a new type of code was introduced which integrates the open cv2 library. this code allows in real time with the camera of the device to understand in advance if the shot will be successful through the laws of physics

IMG_1710.mov

Pendulum

-the code ask gravity

gravity = float(input("inserire  gravità (m/s*s) "))												
Half_gravity = gravity * 0.5 * -1	

• it asks you the lengh of the wire and then it calculates the acceleration or the period as you need

Ask = input("Accellerazione - periodo : ")
filo = float(input("inserisci lunghezza filo (m) "))
if Ask == ("accellerazione"):
	accelleration = gravity / filo * -1
	print("accellerazione", accelleration, "m/s*s")
if Ask == ("periodo"):
	periodo=6.28*(filo/gravity)**(1/2)
	print("periodo ",periodo , "s")

How to calculate height

gravity = float(input("inserire  gravità (m/s*s) "))												
Half_gravity = gravity * 0.5 * -1																	
Tempo = float(input("inserire tempo (s) "))
print(gravity/2*Tempo*Tempo," m altezza")
print(gravity*Tempo,"m/s velocità finale")

free-fall

• the free fall is a simplification of the motion of the projectile in fact we do not have the x axis having an angle of 90 degrees so we will not have to solve a second degree equation

Speed = float(input("inserire velocità m/s "))
print("velocità = ", Speed, "m/s", "    ", Speed * 3.6, "km/h")
Fly_time_caduta= ((Speed * -1) - (Speed * Speed - 4 * Half_gravity * Height) ** (1 / 2)) / gravity * -1
print("Tempo di volo", Fly_time_caduta, "secondi")
print("velocità finale", Speed+gravity*Fly_time_caduta)

Authors

• @Matteoschi