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Calculate the Effect size of the Design (T2)d. Calculate the Effect size of the Interaction of the Paper type and Design (€1*2)=Determine the coded equation (...

Question

Calculate the Effect size of the Design (T2)d. Calculate the Effect size of the Interaction of the Paper type and Design (€1*2)=Determine the coded equation (use the variables €1, T2 and €1*2): yIf you use the Starwing design with Heavy paper; how far would you expect the plane to travel?:

Calculate the Effect size of the Design (T2) d. Calculate the Effect size of the Interaction of the Paper type and Design (€1*2)= Determine the coded equation (use the variables €1, T2 and €1*2): y If you use the Starwing design with Heavy paper; how far would you expect the plane to travel?:



Answers

(a) Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for $t \geq 0$ are $$ x=t-2 \sin t, \quad y=3-2 \cos t $$ (b) Assuming that the plane flies in a room in which the floor is at $y=0$, explain why the plane will not crash into the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle. $]$ (c) How high must the ceiling be to ensure that the plane does not touch or crash into it?

Mhm. For this exercise we have to use our graphing utility. So we'll have t minus sign key minus 2 70. And then we have 3 -2 code sign people. So we end up with this crap here, we want to assume the paper airplane uh flies in a room in which the floors white was zero. So we want to explain why the plane will not crash into the floor. So if we let this be 10, we see that it's never touching the floor because why go zero and it will never hit the white go zero line. Then um We want to know how much, how high must the ceiling be to ensure the plane does not touch every crash into it. So we see that it would barely touch five. So as long as the ceiling is slightly higher than five, we know that the plane would not touch it. But if it's at five, it will touch it every single time it reaches that maximum point.

For this problem, we want to graph the given parametric equations, so we'll have the X. Is equal to G -2 Sci Fi, And then we'll also have that y equals 3 -2 coats MP. So with this in mind since t We can increase its, its value will go from zero to say 100 when we do this. We see that it just keeps creating these loops and were asked in part B. Um To assume that the floor, it's flying in a room and the floor is Y equals zero. It's well we see that based on this it will never hit the floor because it never goes down that far The farthest it goes down as to why equals one. So what in the floor? And then we see that the ceiling, if the ceiling is Y equals five, it'll barely hit it every time. So we just want to make sure our ceiling is slightly higher than Y equals five.

All right. For part A Here. We need to find the tort due to the weight of the engine. So we need to find the force that's going perpendicular here. We'll call that F W, um too. So we need to use a triangle here, right? Triangle here. Now, if this angle is 32 degrees here, then that means this angle here is also going to be 32 degrees, which means this angle here is going to be 32 degrees here. So now, using trigonometry. So the force, they'll be you here. Well, will have co sign of 32 1st 32 degrees or sorry, not co sign, but signed because its opposite of that angle sign of 32 degrees it's going to be the forest w divided by W. Um, yeah, we'll call this for some of you. Uh, w where'd so forced w is going to be equal to W, which is 10,200 needles and then times, um, sign of 32. So this is going to be 5410 Newtons now to find the torque. The torque is going to be that force times the length of the liver arm. So the torch is going to be equal to 5410 Newtons times 2.50 meters. So our answer is going to be 135,000 for 13,500 newton meters now for part B, and we need to find the angle. We need to use this angle here. Okay, if we extend that out like, uh, sorry triangle like this here. Okay, so we have that the thrust. Um, you get the angle. Be angle. Here should also be 32 degrees. And since it's adjacent to this line here, we're going to use co sign. So we have a co sign of 32 degrees this is equal to. And now, instead of force W, we'll call this force T force T Force t like, so divided by the thrust. So the forced T is going to be the thrust, which is 100 or so. 623,000 623 or sorry. 62,300 Newtons and then times co sign of 30 32 degrees. This is gonna give us a force of 52,800 noodles. So the torque here it's force to thrust times the length of the lever arm. So we have 524 52,800 noodles times 2.50 meters, which gives us a total torque of AH, 100 32,000 Newton meters.

Hello I. So in this question we have to write an equation and solve it. So the question is the scale on a blueprint is 2.5 metre end to 10 ft in actual room length. Find the length of the room that is in three age long on the blue team blueprint. So and here is the length of the room. So the question is very easy. Two point play phone then equals two three point and no, we just have to solve it by cross multiplication. So 2.5 equals two 30. And early was to do what? 2.5 which is do it? So around there is 12.


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