Dodge round experiment:Anthony AgiusAngelo BerlasiEric PachotaWe desire to check out the urbanbreathnyc.com the throwing and also getting fight by dodgeballs1st Test: rate of evade ball2nd Test: speed of arm during throw3rd Test: force of dodge round on face4th Test: Acceleration that arm: (forearm, wrist, hand)5th Test: Acceleration of dodgeball ~ above face6th Test: inert of ball7th Test: work of Eric"s arm8th test (main event): Dodge sphere to the face!chyea...Procedure:Materials:Dodge Balls (Gator Ball)High rate CameraAccelerometerWeight ScaleForce PlateVideo CameraHuman FacePROCEDUREFirst we are going to check the pressure of Eric"s throw on a pressure plate.Next we space going to obtain a sample of high speed video clip of Eric"s throwing.After that we space going to obtain a high speed video clip of Eric cram a dodge ball at Anthony"s face.Once we space done, we room going to analyze our video clip data in video clip analysis and also tracker.Using the data that we uncovered in tracker, we have the right to make the info into a graph.After graphing and assessing our data, we can recreate our experiment in interaction urbanbreathnyc.com.Report

Have you ever before got hit through a evade ball? ns am no talkingabout a genuine dodge round that you view in experienced tournaments or like theones in the movie “Dodgeball”. Ns amtalking about a gator ball, more than likely the ones that you provided in gym class. Theyweigh around 0.095 kg, i m sorry is around 0.21 pounds. Castle don’t even weigh 1 poundbut castle still have the right to pack a punch. When thrown at accelerates to 70 mph, theseballs have the right to really hurt, particularly when you room taking one in the face. Before weget come the “dodge balls in the face,” let’s take a look in ~ the urbanbreathnyc.com of thethrow.

You are watching: Dodgeball to the face

Eric’s throw at the Wall

HIGH SPEED video clip RECORDED in ~ 500fps

While making use of the high rate camera, we were maybe toanalyze our data on Eric’s throw at the wall a lot of easier. Using tracker weused plot clues to number out some crucial data. Right here is a perform of the datawe discovered.

Acceleration the wrist= 215 m/s2

Acceleration of forearm = 106 m/s2

Acceleration of hand = 357 m/s2

Acceleration of sphere = 95 m/s2

Velocity of ball (after released) = 32 m/s2

Momentum of sphere = 3.04 (kg)(m/s)

Work that Eric’s arm= 1707.5 joules

One thing we did have trouble on to be finding the work-related ofEric’s arm.

This is the procedures we offered to find the work.

W=Fd, but because we did not know the force, we substitutedto insert what we perform know.

So currently the formula changed to W=(ma)d

We identified that the massive of Eric’s arm wasapproximately 5.4 kg and the acceleration of his arm was about 106 m/s2.So F=572.4 Newtons

To measure the Distance, we made decision to take it the circleapproach. Do the path that that took with his arm into a fifty percent circle, then wecould simply solve for the perimeter of the circle and then divide it by 2.

We figured the diameter that the circle course wasapproximately 1.9m. So the radius that the circle would certainly be 0.95m. Making use of theformula Perimeter=2πr,we substituted r into the formula and also solved. So we involved figure outthat the perimeter that the circle the the course Eric’s arm took to be 5.97m. Whenyou divide that number by 2, you get the distance of his arm. We gained 2.99m. Sonow the we got the force and also the distance, we deserve to solve because that Work.

W=Fd

W=(ma)(2πr/2)

W=(5.4*106)((2*3.14*0.95)/2)

W=1707.5 joules

We were also able come graph every the data in tracker. Wegraphed velocity because that each that Eric’s forearm, wrist, hand, and the ball. Thegraph mirrors the steady increasing the velocity of every body component before theball was released.

As you deserve to see in the graph, every one of the velocityincreases rapidly from 0.314 secs to about 0.330 seconds. This is as soon as themost acceleration is developing in Eric’s arm. Every one of this is developing in onlyabout 0.016 seconds. Might be her asking yourself, exactly how is it possible thatEric’s hand deserve to accelerate to 357m/s2? Well every one of this speeding upis only arising in that little frame of time. Also when we tried making use of the 25gaccelerometers, we maxed those out very easily. Therefore the acceleration is going tobe an ext than 25*9.8m/s2. One more interesting point that we uncovered inour data to be the tendency of ours points in our graph all synchronized with eachother. They all peak at the same allude and you have the right to see whereby the sphere isreleased. We thought that it was alsosignificant to show that Eric’s forearm to be not speeding up as quick as hishand was. This is due to the fact that the radius of the route his forearm is going come bedifferent than the radius of the course his hand takes. Whichever has actually the largerradius is walking to have actually a bigger distance, and larger distance method moreacceleration, that is just if the time does not change.

Now the minute you’ve all been wait for, dodge Ballsin the Face!!!! Yes, he take it a couple for the team, yet it was all worth itafter. Actually we extract some very impressive data through these videos. Wehave 2 high speed videos of Anthony getting hit in the face. The first videowas taken inside our school, in the one and only urbanbreathnyc.com room. We have both thenormal and high rate videos. Hint, we imply you clock the normal rate videobefore you watch the high speed video.

HIGH SPEED video RECORDED at 250fps

This is the data the we found on this videos, mostlyfrom tracker.

Hit in the confront inside

Velocity before hitting Anthony in challenge = 22.1 m/s

Acceleration of round in trip = -70m/s2

Acceleration of ball hitting Anthony in face= -2024m/s2

Velocity of round after hitting Anthony in face = 6.7m/s

Momentum of ball = 2.0995 (kg)(m/s)

Force on confront = 192.28 Newtons

From tracker us calculated that the speed of the ballthat struggle Anthony in the face was roughly 22.1m/s i m sorry is about 50mph.It’s stunner to think that Eric deserve to throw the round that hard and also then the evencrazier the Anthony takes that in the face. The pressure on Anthony’s face that wecalculate was somewhere about 192 Newtons. This is no the maximum the Ericcan throw. If testing before on a pressure plate, Eric’s litter hit to about 248Newtons that force.

FORCE PLATE

Because the sphere weighs around 0.095kg, we can calculatethe acceleration that Eric’s throw at the force plate. F=ma, and also we know two ofthe three variable.

F=ma

248=0.095(a)

248/0.095=a

a=2610.53m/s2

So the acceleration the the sphere from Eric’s litter thatwas on the force plate was around 2610.53m/s2. We’re just glad thiswasn’t the force that was exhilaration upon Anthony’s face, reason that would havebeen a stinger.

This critical normal and high speed video that we have, wastaken outside. Favor the ahead videos, watch the regular speed video beforeyou watch the high speed one. Watch very closely this time in ~ the high rate videobecause this one to be taken in ~ 500 frames per 2nd instead of 250.

HIGH SPEED video RECORDED in ~ 500fps

Here is the data that we gathered from these collection ofvideos:

Velocity before hitting Anthony’s face = 26.5 m/s

Acceleration of round in trip = -12m/s2

Acceleration of ball hitting Anthony’s confront = -2110m/s2

Velocity of round after hitting Anthony’s confront = 8.6 m/s

Momentum of sphere = 2.5175 (kg)(m/s)

Force on face = 200.45 Newtons

This time, the velocity that the ball raised by 4.4m/sand you deserve to see the difference in what happened. The is a difference of about9.84mph. So this time the round was travel somewhere around 60mph. Whileanalyzing this video, we determined to take it the mathematics a small further and also figureout the rate of the wave traveling with my face and also neck. What we concludedwas that the rate of the wave on Anthony’s neck = 2.526m/s. The is about a 6mphwave traveling v his face. The reason that us cannot watch the tide on thenormal speed video is due to the fact that ball is only touching his face for 5/500 of asecond i m sorry is = 1/100 or 0.01 seconds. The factor that us cannot view the waveon his confront is since the wave only lasts for 12/500 the a second, which equals0.024 seconds. Since these things carry out not also last 1 second, we should slowtime down to check out them an ext clearly.

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Interactive urbanbreathnyc.com

The last thing we walk after evaluating our videos to be thatwe recreated the throw of the dodge sphere at a face. But since it to be toohard to do a realistic body in interaction urbanbreathnyc.com, we just tested the balland the head. We assumed that an median head the a human being weights around 5 kg or12lbs, and the dodge round that we supplied weighed around 0.095 kg. Us also set thevelocity the the dodge round to 32m/s, which was one of the speeds the Ericthrew before. Us performed the test in interactive urbanbreathnyc.com and we received these results:

Before Contact

Dodge Ball

Velocity

32m/s

0

Acceleration

65.31m/s2

0

Momentum

3.040(kg)(m/s)

0

Angular Momentum

0

0

Torque

0

0

Total Force

0.932 N

49.033N

Kinetic Energy

48.640J

0

During Contact

 Dodge Ball Anthony"s Head Velocity 15.244m/s 0.892m/s Acceleration 0 0 Momentum 1.448(kg)(m/s) 4.461(kg)(m/s) Angular Momentum 0.056 0.156 Torque 0 0 Total Force 0.932 N 49.033N Kinetic Energy 11.168 1.992

After Contact

 Dodge Ball Anthony"s Head Velocity 15m/s 0.606m/s Acceleration 0 2.942m/s2 Momentum 1.469(kg)(m/s) 3.030(kg)(m/s) Angular Momentum 0.056 -1.847 Torque 0 -20.594N-m Total Force 0.932 N 14.711N Kinetic Energy 11.489J 1.266J
Interactive urbanbreathnyc.com showed the design of just the ball and also Anthony"s head. Because there was no neck or shoulders top top the model in interactive urbanbreathnyc.com, the outcomes were a tiny bit various than the persons we gained from the high rate video. Another factor we have to take in account the is the reality that my face can absorb some the collision. Therefore the impact is different in between the 2    CONCLUSION

We learned many things throughout this urbanbreathnyc.com that sportsproject. Not just did we find out to usage a new program referred to as tracker, however we nowknow every one of the investigate of throwing and getting struggle in the challenge with adodge ball. The greatest component of this task was utilizing the high rate film toanalyze ours data. We would certainly love to do an additional project prefer this the couldrecord in ~ 1000 frames per second instead that 500.