Measured+Turns+Practice

Contents: Steps for calculating a turn Needed Formulas Example from the video Problem 1 Problem 2 Problem 3

........................................................ How to turn a robot an exact amount. In other words, determining the degrees to enter into a program to make a measured turn.

Needed Values: Determine the circumferences of the wheel and the turning circle. 1. Determine the distance the wheel must turn. (Dr. Turner's second hypothesis) 2. Determine the rotation amount to make the wheel go the correct distance. (Dr. Turner's first hypothesis) 3. Determine the degrees to enter into the program from the rotation amount. ........................................................

__Useful calculating information__:

Circumference = (3.14)(diameter)

Dr. Turner's first hypothesis: Distance = (Circumference)(Rotations)

Dr. Turner's second hypothesis: In other words: . . 1 rotation = 360 degrees
 * || __ Angle of turn __ ||  || = ||   || __ Distance Wheel Travels __ ||   ||   ||   ||   ||
 * || Full Circle ||  ||   ||   || Traced Circle Circumference ||   ||   ||   ||   ||
 * || __ Degrees of turn __ ||  || = ||   || __ Distance wheel needs to go __ ||   ||
 * || Degrees in a circle ||  ||   ||   || Circumference of the traced circle ||   ||

Proportion that gives the degrees to enter into a program:


 * __360 degrees__ ||  ||   || = ||   ||   || __degrees for programming__ ||
 * 1 rotation ||  ||   ||   ||   ||   || turn rotations ||

 __Example from the video__:

Information about the robot: Wheel Diameter = 5.74 cm Traced Circle Diameter = 22.93 cm

Problem: Determine how many motor degrees you need to set in your program to make the robot turn 90 degrees.

Wheel circumference = 5.73 cm * 3.14 = 18 cm Traced circumference = 22.93 * 3.14 = 72 cm

First: Determine the distance the wheel must go to make the turn.

This formula is used:
 * || __Degrees of turn__ ||  || = ||   || __Distance wheel needs to go__ ||   ||
 * || Degrees in a circle ||  ||   ||   || Circumference of the traced circle ||   ||

Put the values in the formula: Cross multiply:
 * || __90__ || = ||  || __Distance traveled by the wheel__ ||   ||   ||   ||   ||   ||
 * || 360 ||  ||   || 72cm ||   ||   ||   ||   ||   ||

(90)(72cm) = 360(Distance)

Divide both sides by 360: Multiply and then divide:
 * __(90)(72cm)__ = ||  || __360(Distance)__ ||   ||   ||   ||   ||   ||   ||
 * 360 ||  || 360 ||   ||   ||   ||   ||   ||   ||
 * __(90)(72cm)__ = ||  || __Distance__ ||   || = || 18cm distance traveled by the wheel ||   ||   ||   ||
 * 360 ||  ||   ||   ||   ||   ||   ||   ||   ||

Second Step: Determine the amount of rotation required to make the turn.

Here is the formula: Distance = (wheel circumference)(Rotations)

18cm = 8cm (Rotations)

Divide both sides by 8cm to get rotations by itself: 2.25 = Rotations
 * __18cm__ = ||  || __8cm(Rotation)__ ||   ||   ||   ||
 * 8cm ||  || 8cm ||   ||   ||   ||

Third Step: Multiply rotations by 360 to determine the program degrees:

360degrees ( 2.25) = 810 degrees is what the program 's wait block would be set to.

 ................................................ __**Problem 1**__ A robot has wheels with a diameter of 6.4cm and the outer wheel of swing turn traces a circle with a diameter of 20cm. Show your calculations to earn credit.

What is the circumference of the wheel?

What is the circumference of the traced circle?

A. How many wheel rotations are required to travel the circumference of the circle one time?

B. How many degrees must be entered into the wait block for the robot to turn 360 degrees?

C. What is the distance the wheel needs to go to make a 90 degree turn?

D. How many degrees must be entered into the wait block for the robot to turn 90 degrees?

 ........................................... A robot has wheels with a diameter of 4.2cm and the outer wheel of swing turn traces a circle with a diameter of 24cm. Show your calculations to earn credit.
 * __Problem__ __2__**

What is the circumference of the wheel?

What is the circumference of the traced circle?

How many degrees must be entered into the wait block for the robot to turn 100 degrees?

How many degrees must be entered into the wait block for the robot to turn 200 degrees?

A. How many wheel rotations are required for the robot to turn 100 degrees?

B. How many degrees must be entered into the wait block for the robot to turn 100 degrees?

C. What is the distance the wheel needs to go to make a 200 degree turn?

D. How many degrees must be entered into the wait block for the robot to turn 200 degrees?

 .............................................. A robot has wheels with a diameter of 7.5cm and the outer wheel of swing turn traces a circle with a diameter of 38cm. Show your calculations to earn credit.
 * __Problem__ __3__**

What is the circumference of the wheel?

What is the circumference of the traced circle?

A. How many wheel rotations are required for the robot to turn 120 degrees?

B. How many degrees must be entered into the wait block for the robot to turn 120 degrees?

C. What is the distance the wheel needs to go to make a 360 degree turn?

D. How many degrees must be entered into the wait block for the robot to turn 360 degrees?

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