Terminal Velocity of Parachute: Investigating Mass & Diameter

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In summary, the conversation discussed the aim of investigating the relationship between terminal velocity of a parachute and its mass and diameter. The suggested equations for this experiment were F = mg -kv and v = [(2mg/rhoAc_d)]^1/2. Various methods were suggested for measuring terminal velocity, including using a vertical wire and light beams, filming with a digital video camera, or using a strobe flash in the dark.
  • #1
xxneilxx
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Homework Statement


Aim: investigation of how terminal velocity of a parachute is related to the mass it carries and it diameter. object is a cube , height is 10m, diameter will only vary.


Homework Equations


I know that F = mg -kv
therfore v = [(2mg/rhoAc_d)]^1/2


The Attempt at a Solution


I am trying to find a simpler way to measure terminal velocity. Any help would be appreciated.
 
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  • #2
Just measure the time taken for the cube to drop the last 10-20cm.
eg. Have the cube sliding down a vertical wire, so you know exactly where it will go, and have two light beam's 20cm apart that the cube will break + an electronic timer.
It might be tricky yo have a wire that doesn;t foul the chute.
Alternative is to paint lines on a background say 5cm apart, near the floor where the cube will land and film it with a digital video camera - then calcualte how far the cube falls in a frame time of the camera.
Or the old fashioned way, do it in the dark with a regular camera and a strobe flash - the digital video is probably easier
 
  • #3
thank you for your help
 

What is terminal velocity?

Terminal velocity is the maximum speed that an object can reach when falling through a fluid, such as air. It occurs when the drag force from the fluid is equal to the force of gravity pulling the object down.

How does mass affect the terminal velocity of a parachute?

The greater the mass of the parachute, the greater the force of gravity acting on it. This means that a heavier parachute will reach a higher terminal velocity compared to a lighter one.

How does diameter affect the terminal velocity of a parachute?

The larger the diameter of the parachute, the more air resistance it will experience. This will cause it to reach a lower terminal velocity compared to a smaller parachute with the same mass.

Why is it important to investigate the terminal velocity of a parachute?

Understanding the terminal velocity of a parachute is crucial for designing safe and effective parachutes. It can also help us understand the physics behind air resistance and gravity.

How can we calculate the terminal velocity of a parachute?

The terminal velocity of a parachute can be calculated using the formula: Vt = √(2mg/ρAC), where Vt is the terminal velocity, m is the mass of the parachute, g is the acceleration due to gravity, ρ is the density of the fluid, A is the cross-sectional area of the parachute, and C is the drag coefficient.

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