The Physics Of Basketball Engineering Essay

Basketball is a really popular game that can be played both out-of-doorss and indoors. The chief purpose of the game is to hit as many points as possible, in order to win. However, since it is a affair of acquiring the ball into the hoop in order to hit points, the participant has to find the approximative size of angle ?Y in which he needs to hit the ball so that he will hold a high opportunity of hiting. The angle ?Y really varies with the distance.

As we play basketball, we noticed that the farther the distance from the net, the angle ?Y in which the hoops travels to come in the cyberspace is smaller and the closer the distance from the net, the angle ?Y in which the hoops travels to come in the cyberspace is greater.

This is because the farther the taw stands off from the net, the less acute the angle in which the ball travels in.

The purpose of this survey was to happen out the relationship between the distance, vitamin D between the taw and the hoops cyberspace affects the angle, ?Y ( refer to Figure 1 below ) at which the hoops is released. We have to presume that the force asserted on the ball is changeless, the tallness at which the ball is being released is changeless and the air opposition is changeless.

List of Variables:

Independent Variable: The distance, vitamin D between the point of where the ball is released and the hoops hoop.

Dependent Variable: The angle, ?Y in which the hoops is released.

Variables to be kept changeless:

The tallness of the hoops hoop, H

The size and mass of the mini hoops, m

Distance from the get downing place of ball to land, H

Gravitational Field Strength, g

The force used to hit the ball, F

The velocity of the air current

Location of the experimental set-up ( Sonia ‘s life room )

Changeless variables that are measured:

Size and mass of the mini hoops, m = 17.0g

Height of hoops hoop, H = 28.5 centimeter

Distance from the get downing place of ball ( mention to Fig.1 ) to land, H = 0.0m

Gravitational Field Strength, g = Assumed to be 9.8N/kg

Force used to hit the ball, F = Maximum power of the hairdryer

List of Apparatus needed:

-Mini hoops hoop ( self-constructed )

-A mini-size hoops

-A long and heavy pole

-A rejoinder base with foreman and clinch

-Meter Ruler

-Hairdryer and power supply for it to run

-Protractor

The Question:

How does the distance, vitamin D between the taw and the basketball net affect the angle ?Y ( refer to Figure 1 below ) ?

Photographs of Set-up

Photograph 1 ( Side View of set-up )

Photograph 2 ( Side View of set-up which was taken from a different angle )

Photograph 3 ( Close-up position of Basketball Hoop )

Photograph 4 ( Close up position of the foreman and clinch back uping the pole )

Experimental Set-up ( Diagram )

Basketball Hoop

Pole

Ball

Power socket

Floor

Boss and Clamp

Retort Stand

?YEs

Hairdryer

d/m

Meter Ruler

Get downing place of the ball

Figure 1

Procedure:

We would put up a mini hoops tribunal ( as shown in Fig. 1 ) whereby we would utilize a little hoops hoop that we constructed ourselves and a smaller hoops alternatively of the existent hoops and hoop. We will put up this mini ‘basketball tribunal ‘ indoors ( in Sonia ‘s life room ) so there will be less of an intervention of air current and the air opposition will be reduced, or if non, remain changeless at all times.

We would so transport out the experiment utilizing the mini hoops tribunal. First, we will mensurate the distance, vitamin D to be 1.50m ( our get downing distance ) .

We will besides mensurate the angle, ?Y in which the ball will go to acquire into the hoop.

We will so place the ball in the pole, at its get downing place ( as shown in Figure. 1 ) and turn on the hairdryer to its maximal power.

By looking at the parabolic curve made by the ball after being shot out through the other terminal of the pole, we will judge whether the angle ?Y that we have set originally is suited or non. A suited angle ?Y would intend that the angle in which the ball is released allows it to go the needed distance, vitamin D to make the hoop successfully.

If the ball travels less than the needed distance, vitamin D, we will diminish the angle ?Y by traveling the foreman and clamp down, so as to cut down the slanting of the pole, therefore diminishing the angle ?Y . If the ball travels more than the needed distance, vitamin D, we will increase the angle ?Y by traveling the foreman and clamp up. This increases the angle of the pole, therefore increasing the angle ?Y .

We will go on changing the angle ?Y until we discover the optimal angle ?Y .

The optimal angle ?Y is the angle in which the ball is released such that it can go merely the right distance to successfully make the hoop and even score.

After reiterating the experiment four times with the optimal angle, we will merely enter this optimal angle in the tabular array below ( we will non enter other angles in which the ball did non come in the hoop ) .

We will reiterate this whole experiment with changing distances, as shown in our tabular array below.

Data aggregation and presentation

d/m

Optimum Angle ?Y /degree

1stTry

2ndTry

3rdTry

4thTry

Percentage of ball acquiring in/ %

1.50

45.0

Ball hits the hoop, did non acquire into the hoop

Ball did acquire into the hoop

Ball did acquire into the hoop

Ball did acquire into the hoop

75

1.30

49.0

Ball did acquire into the hoop

Ball hits the hoop, did non acquire into the hoop

Ball did acquire into the hoop

Ball hits the board and bounced outwards, did non acquire into the hoop

50

1.10

54.0

Ball hits the hoop. Did non acquire into the hoop

Ball did acquire into the hoop

Ball did acquire into the hoop

Ball hits the hoop, did non acquire into the hoop

50

0.90

60.0

Ball hits the hoop, did non acquire into the hoop

Ball hits the hoop, did non acquire into the hoop

Ball hits the hoop, did non acquire into the hoop

Ball did acquire into the hoop

25

0.70

65.0

Ball hits the hoop, did non acquire into the hoop.

Ball gets into the hoop

Ball hits the hoop, did non acquire into the hoop

Ball did non acquire into the hoop

25

0.50

70.0

Ball hits the hoop, did non acquire into the hoop

Ball gets into the hoop

Ball hits the hoop, did non acquire into the hoop

Ball did non acquire into the hoop

25

Datas Analysis

From the consequences, we have discovered that the distance, vitamin D varies linearly with the angle ?Y . As the distance, vitamin D additions, the angle ?Y will diminish consequently.

Through the consequences obtained from the experiment carried out, it shows that the further the distance the taw is from the hoops cyberspace, the higher the opportunities of the ball acquiring into the hoop, provided that the angle ?Y is the optimal angle in which the ball is released. This besides shows that the angle ?Y , the angle at which the ball is being released at is another factor, which affects the opportunities of the ball come ining the hoop.

Discussion

From this experiment, we have come to a decision that in order to hit from a farther distance, the best angle ?Y , to let go of the ball is 45Es , so that the ball will hold a higher opportunity of come ining the hoop. This cognition will come in ready to hand if person wants to specialise in three-points hiting. To hit a three-pointer, person has to stand a really far distance ( for illustration, 5.0m ) from the hoop and in order to hit, that individual has to cognize that he can non hit the ball excessively high up ( as in the angle ?Y being & gt ; 45Es ) or the ball will non go far plenty to even make the hoop. Whereas if you are person who wants to specialise in lay-ups and since you have to hit from under the basket, you have to hit the ball high up in order to hit, which means that the best angle ?Y will be rather big ( & gt ; 60Es ) . However, we have besides found out that when we shot the ball from a smaller distance off from the hoop, ( about 0.50m off from the hoop ) , it was really rather difficult for us to hit and in fact, the marking per centum is reduced greatly to around 25 % merely. Therefore, if person wants to hit the ball from under the basket, we would propose that the individual should hit the ball in from the side of the hoop. He can besides utilize the board to his advantage by hiting the ball in from the side of the hoop as the ball can resile off from the board easy and into the hoop.

This whole thought of the hoops traveling in a parabolic curve is known as projectile gesture. Projectile gesture is the gesture of an object ( most probably an object that is thrown in the air ) that is affected by gravitation moving on the object ( W ) . Even though gravitation plants on all organic structures, it besides plays a really large portion in lending to the parabolic curve observed when a ball is thrown upwards.

Gravity is a force that acts on objects ; it makes objects accelerate “ downwards ” as gravitation is drawing the object towards the centre of the Earth. When an object is thrown in the air, it will speed up downwards due to gravitation. The parabolic gesture of an object is due to both the horizontal speed and downwards acceleration of the ball. The ball will fall downwards due to the gravitative force moving on it ; nevertheless, the horizontal speed really remains changeless ( presuming that there is no air opposition ) .

Despite that, we have besides spotted some mistakes that could hold been present in our experiment. For illustration, the ball goes into the hoop besides depended on whether the pole was confronting directly at the hoop. To minimise this mistake, we made certain that for all experiments, the pole was positioned straight at the hoop. Another possible mistake would be the clip taken to exchange on the hairdryer to its maximal power. To minimise this mistake, we tried to exchange on the hairdryer to its upper limit at the fastest velocity that our custodies could run, we had besides dedicated the occupation of exchanging the hairdryer on to its maximal power to one peculiar individual ( Xin Ying ) so that the clip taken to exchange the hairdryer on to its maximal power would most probably be about the same.

Recommendations for Future Research

We can really prove our consequence findings in existent life by hiting a existent hoops and record the whole procedure, before utilizing picture tracker to analyse the picture being taken.

Bibliography

Physicss Learning Site. [ 2011 ] . Projectile Motion. [ on-line ] . hypertext transfer protocol: //www.physicslearningsite.com/projectile.html. ( 12 April 2011 )

Oracle ThinkQuest. [ 2011 ] . Projectile Motion. [ on-line ] .http: //library.thinkquest.org/28388/Mechanics/Motions/Projectile.htm. ( 18 April 2011 )

Douglas Brown. [ 2011 ] . Tracker Video Analysis and Modeling tool hypertext transfer protocol: //www.cabrillo.edu/~dbrown/tracker/ ( 18 April 2011 )

Lumosity. [ 2011 ] . Fear of Physics. [ on-line ] . hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” xunits=metersHYPERLINK “ http: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” h0=0.5HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” hunits=metersHYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” v0=10HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” vunits=msHYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” theta=55HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” phys=onHYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” animdetail=HighHYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” & amp ; HYPERLINK “ hypertext transfer protocol: //www.fearofphysics.com/cgi-bin/proj.cgi? x0=1.5 & A ; xunits=meters & A ; h0=0.5 & A ; hunits=meters & A ; v0=10 & A ; vunits=ms & A ; theta=55 & A ; phys=on & A ; animdetail=High & A ; mode=wrap ” mode=wrap ( 12 April 2011 )

Writing of Report content

Editing of Report content

Made experiment set-up

Editing of Proposal

Tabulation of experiment consequences

Writing of Proposal