Computing Velocity From Frame Per Second

ByYou can use the principle of conservation of momentum to measure characteristics of motion such as velocity. Say, for example, that you’re out on a physics expedition and you happen to pass by a frozen lake where a hockey game is taking place.

Velocity is usually given in meters per second, as meters is the International System of Units. However, you will frequently see velocity given in other units like miles-per-hour and kilometers-per-hour and even centimeters-a-second. Let’s fill in the formula for velocity with a practical example.

You measure the speed of one player as 11.0 meters per second just as he collides, rather brutally for a pick-up game, with another player initially at rest. You watch with interest, wondering how fast the resulting mass of hockey players will slide across the ice. After asking a few friends in attendance, you find out that the first player has a mass of 100 kilograms and the bulldozed player (who turns out to be his twin) also has a mass of 100 kilograms. So what’s the final speed of the player tangle?You’re dealing with a closed system, because you neglect the force of friction here, and although the players are exerting a force downward on the ice, the normal force is exerting an equal and opposite force on them; therefore, the vertical force sums to zero.But what about the resulting horizontal speed along the ice? Due to the principle of conservation of momentum, you know thatp f = p iImagine that the collision is head on, so all the motion occurs in one dimension — along a line. So you only need to examine the components of the vector quantities in this single dimension.

The component of a vector in one dimension is just a number, so you don’t write them in bold. The victim isn’t moving before the hit, so he starts without any momentum. Therefore, the initial momentum, p i, is simply the initial momentum of the enforcer, Player 1. To put this equation into more helpful terms, substitute Player 1’s mass and initial velocity (m 1 v i 1 ) for the initial momentum (p i ):p i = m 1 v i 1After the hit, the players tangle up and move with the same final velocity. Therefore, the final momentum, p f, must equal the combined mass of the two players multiplied by their final velocity, ( m 1 + m 2) v f, which gives you the following equation:( m 1 + m 2) v f = m 1 v i 1Solving for v f gives you the equation for their final velocity.

.Note: This is an abbreviated Project Idea, without notes to start your background research, a specific list of materials, or a procedure for how to do the experiment. You can identify abbreviated Project Ideas by the asterisk at the end of the title. If you want a Project Idea with full instructions, please pick one without an asterisk.AbstractA video camera records 30 'frames' or distinct images per second.

(That's for an NTSC camera in the U.S. PAL cameras in other areas of the world take 25 frames per second.) You can use this fact to time events and measure speed. One student has used a video camera to measure the speed of an arrow shot from a bow.

Computing Velocity From Frame Per Second

Frames Per Second Explained

VelocityComputing velocity from frame per second test

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Frames Per Second Calculator

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