Initial Velocity of a Projectile
| Lab #3: Initial Velocity of a Projectile | | | Abhishek Samdaria | Pd.4 and 5 |
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Lab #3: Initial Velocity of a Projectile
Theory:
How can we determine the initial velocity of a projectile?
Experimental Design: The purpose behind this experiment was to determine the initial velocity of a projectile. Projection motion consists of kinematics of motion in the x and y directions. With two dimension kinematics, there are the x and y components in any given velocity. In projectile motion, the x component has no acceleration as no outside forces are acting on it. The Y component on the other hand has gravity acting as a force.
A small ball is shot, at three various angles (30,45,60), and through the known values the initial velocity of the ball is found. As a result, the range of the project can be represented with the equation
1) R = V02g*Sin2θ , where R represents the range or Dx; the values of g and θ are known.
However, in this experiment, one main equation were used to determine the initial velocity.
1) y-y0=tanθx-gx22(V0cosθ)2 , where y is the trajectory of a particle in two dimensional motion, gravity is -9.81 m/s 2 , and θ is the launch angle. X is equal to the average distance launched in the x direction. In order to determine all the components required to use the trajectory equation, a small projectile ball was launched at 3 different angles. The distance traveled was measured as well as the initial height the ball was launched. 3 trials of each angle were conducted and the average of the trials was used as the x distance in order to determine the trajectory. The photo-gate was used to find how long it took the diameter of the ball to pass through the sensor. Using all the data gathered, the initial velocity should be able to be determine as it is the only missing variable.
Materials and Methods The materials needed were the projectile launcher, the plunger, a spherical ball, a photogate, a meter stick and white
|
Lab #3: Initial Velocity of a Projectile
Theory:
How can we determine the initial velocity of a projectile?
Experimental Design: The purpose behind this experiment was to determine the initial velocity of a projectile. Projection motion consists of kinematics of motion in the x and y directions. With two dimension kinematics, there are the x and y components in any given velocity. In projectile motion, the x component has no acceleration as no outside forces are acting on it. The Y component on the other hand has gravity acting as a force.
A small ball is shot, at three various angles (30,45,60), and through the known values the initial velocity of the ball is found. As a result, the range of the project can be represented with the equation
1) R = V02g*Sin2θ , where R represents the range or Dx; the values of g and θ are known.
However, in this experiment, one main equation were used to determine the initial velocity.
1) y-y0=tanθx-gx22(V0cosθ)2 , where y is the trajectory of a particle in two dimensional motion, gravity is -9.81 m/s 2 , and θ is the launch angle. X is equal to the average distance launched in the x direction. In order to determine all the components required to use the trajectory equation, a small projectile ball was launched at 3 different angles. The distance traveled was measured as well as the initial height the ball was launched. 3 trials of each angle were conducted and the average of the trials was used as the x distance in order to determine the trajectory. The photo-gate was used to find how long it took the diameter of the ball to pass through the sensor. Using all the data gathered, the initial velocity should be able to be determine as it is the only missing variable.
Materials and Methods The materials needed were the projectile launcher, the plunger, a spherical ball, a photogate, a meter stick and white