Step $1$: Rotate Helicopter Blades: Trigonometry $[10$ Marks$]$

Purpose: Using the program to draw a Helicopter in Assignment $1$ Question $2,$ update the code to enable rotation

of the Helicopter$$s Blades at a constant speed.

Details: To complete your sketch should meet the following criteria:

$$ Use a canvas size of $500$ by $500.[1]$

$$ Based on the Trigonometry discussed in class, declare variables: delta and theta. $[2]$

o theta will be the initial angle of the propeller.

o delta is the angle by which theta would change each frame

to give Blades a rotating effect.

o Note: Depending on how the blade has been drawn, you

may need to declare more than one delta$/$theta$.$

$$ Initially, the blades should rotate with a constant speed.

$$ Use the primitive data types int and$/$or float $[2].$

$$ Other requirements:

o For this question, at all times, your Helicopter should be at

the center of the canvas, although it may not necessarily

fill the canvas.

o The setup and draw functions are required in this

question.

Step $2$: Add a speed controller to change the Helicopter speed

with mouse clicks. $[10$ Marks$]$

Purpose: Create a speed controller that will allow user to change the speed

of the Helicopter blades interactively.

$$ Draw a speed controller as shown in Figure $1.$ It should consist of two buttons: a button with UP displayed

on it and a button with a DN displayed on it$.$ The UP button will increase the speed of the Helicopter and

DN button will decrease the speed.

$$ You should create a function for this functionality. This function will then call the two functions that will

be added in step $3.$

$$ This function is only used to change the speed of the blades.

Step $3$: Enable scaling with the speed buttons: Common Scaling Problem $[10$ Marks$]$

Purpose: Update your program to give a flying effect to the Helicopter, so that it appears to be rising up out of the

canvas toward the user. When the program starts, the blades should be moving with constant speed and should be

drawn at the smallest scale. When the UP button is pressed, the blades should start to rotate and the size of the

Helicopter should increase. The rotation speed and the Helicopter$$s size should continue to increase every time the

top button is pressed. When the DN button is pressed, the speed and size should decrease.

Details:

$$ Declare four final named constants: This is to assign maximum and minimum values to the Helicopter$$s

scale and delta $($rotation speed$)$ individually. E$.$g$.,$ DELTA$\_$MAX, DELTA$\_$MIN, SCALE$\_$MAX and

SCALE$\_$MIN.$[4]$

o DELTA$\_$MAX should be adjusted to give the best maximum speed in terms of appearance. Higher

speeds may not appear visibly pleasing.

o DELTA$\_$MIN is the value at which your Blades are at the minimum speed.

o SCALE$\_$MAX is the value that will make your Helicopter fill the $500$x $500$ area. Note: Helicopter

may not be visible completely, but make your best judgement.

o SCALE$\_$MIN is the smallest scale possible that will give a good appearance.

$$ Declare methods as needed to achieve the following: $[6]$

These methods should be called to update the value of delta so that speed of the blades

increases or decreases when UP and DN buttons are pressed on the controller.

o Other purpose will be to take the value of delta in the range DELTA$\_$MAX to DELTA$\_$MIN and

provide the corresponding scale value in the range SCALE$\_$MAX to SCALE$\_$MIN.

o Use the formula explained in the common scaling problem slide to achieve the result.

o Again, this will ensure that the speed of the propeller scales according to the size of the

Helicopter. When the speed is maximum, the Helicopter should be scaled to fit the canvas. When

the blades stop moving, the Helicopter$$s scale should be the smallest.

$$ Use the primitive data types int and$/$or float where necessary.

$$ All the max and min values are final constants.

$$ Note: This is an active processing program $($with setup and draw$).$

Use A$2$Q$1.$mp$4$ for reference. Please note, the video is buggy. The rotation of blades at high speed appear as if

the blades are not rotating at all.