The Canoe Race Investigation Essay Research Paper free essay sample

The Canoe Race Investigation Essay, Research Paper Introduction: ? ? ? ? ? ? ? ? ? ? ? The canoe race probe aims to research the relationship between the dimensions of a canoeing class ( consisting one fixed buoy and two other floats ) in the sea, with a current of 2ms-1? analogue to the shore ; which has a entire distance of 300m. ? I have chosen to look into the relationship uniting dimensions and clip? finally seeking to happen the quickest course.Simplified Premises: ? ? ? ? ? ? ? ? ? ? ? To do the probe easy to grok I have made the undermentioned premises that will non be changed over the class of the probe: # 220 ; The shoreline is straight. # 220 ; The current flows in a fixed way ( i.e. it will non alter ) # 220 ; Canoeists take no clip to turn # 220 ; The paddlers do non pall ( i.e. their velocity is changeless ) # 220 ; The paddlers start the race at their changeless velocity ( i.e. : 4ms-1 ) # 220 ; Apart from the current the H2O is still ( i. We will write a custom essay sample on The Canoe Race Investigation Essay Research Paper or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page e. there are no moving ridges ) The Model: ? ? ? ? ? ? ? ? ? ? ? There are many different types of circuit that the paddlers can utilize. Equilaterals, isosceles, right angled trigons and many others, including a consecutive class where the paddlers have to go up one side and back down the other. ? All of these forms can be altered to integrate the way of the current and the length of the side that is analogue to the shoreline. ? I will besides investigate whether clockwise and anticlockwise have any major differences in time. ? ? ? ? ? ? ? ? ? ? ? ? In all instances the length of sides A + B + C = 300m. ? The expression that I will utilize for ciphering the entire clip taken is = gt ; ( length A / RESs. velo ) + ( length B/ RESs. velo ) + ( length C / res. velo ) . ? ? ? ? ? ? ? ? ? ? ? Res. Velo = attendant speed, which is attained from the diagrams that I will draw.Equilateral Triangles: ? ? ? ? ? ? ? ? ? ? ? This first equilateral trigon has a side length of 100m analogues to the shore. The clip taken for the clockwise circuit is 112.5 seconds. ? ? ? ? ? ? ? ? ? ? ? However, the clip taken for the anticlockwise circuit is 104.86 seconds. ? It is clear from this that there is no considerable difference in clip between the waies of travel. ? I will therefore dressed ore on the clockwise circuits of isosceles triangles.Isosceles trigons: ? ? ? ? ? ? ? ? ? ? ? ? The isosceles triangle will be a more good form for the paddlers to utilize because they can diminish the length of the side where they travel analogues to the shore ( i.e. against the current ) .Isosceles ( base = 90 ) = gt ; 108.75 seconds Isosceles ( base = 80 ) = gt ; 105 secondsGraphical reading? ? ? ? ? ? ? ? ? ? ? A graph can be drawn, demoing the relationship between the shore side length and the clip taken to finish the circuit. ? From the above consequences we can anticipate the relationship to be straight proportional. ? ? ? ? ? ? ? ? ? ? ? To salvage clip I have calculated the times taken for each base length without pulling the diagram. ? The clip taken for the thirster sides will ever be 4ms-1 and the velocity against the current will ever be 1.6ms-1. ? The base length of 150m represents the circuit that is all three buoys in a heterosexual line analogue to the shore ( velocity for this is 5.6ms-1 with the current and 1.6ms-1 against it ) . Base Length ( m ) Time ( seconds ) 150 120.53 100 112.5 90 108.75 80 105 70 101.25 60 97.5 Decision: ? ? ? ? ? ? ? ? ? ? ? As the base length increases the clip taken to finish the circuit besides increases. ? This is due to the fact that when the paddlers are going in a clockwise way, the slowest leg of the circuit when paddling against the current. ? Therefore it makes sense that the quickest clip is when the shortest clip is spent against the current.Improvements: ? ? ? ? ? ? ? ? ? ? ? Should I repetition this theoretical account I would better the undermentioned points to do the theoretical account more accurate: ? Canoeists tire. ? This would do certain parts of the circuit a batch slower and would necessitate existent informations from experiments carried out. ? The race was meant to take topographic point in the sea? moving ridges, tide and air current would impact the velocity of the paddlers. ? Time is taken to turn the corners? once more experimental informations would be required? Sine/Cosine regulation could be used to do the computations more elaborate and improve truth. ? Canoeists take clip to make their upper limit velocity? i.e. there is no? turn overing start? ? Age and sex of the paddlers in the race may play an of import factor in velocity. ? Height and Weight may besides impact the velocity of each rival. ?