Calculating Distance Using Pi, Diameter, and Degrees

Use the constant Pi (3.14) and Diameter measurements to calculate the degrees needed to rotate wheels to move the robot a set distance or make accurate turns.

Two numbers to know when calculating distance and degrees:

 Diameter of NXT Wheel Distance between Wheels  Key Formulas:

Circumference = Pi x Diameter

 C = 3.14 * D C = 3.14 * 56 mm

Distance / Circumference = Rotations

 D --  =  R C

Degrees = Rotations x 360

 Deg = R x 360

Exercise 1: Given the Diameter of a Mindstorms NXT Robot Tire, calculate the number of degrees rotation needed to travel 60 centimeters.

 (Diameter of Mindstorms Robot Tire = 56 millimeters) Circumference =   3.14  *  __________________  (Diameter) Circumference =    _________________________ Distance / Circumference = Rotations __________  / ____________  =  _____________ Degrees = Rotations * 360 _______  = _________  * 360 Degrees = __________

Exercise 2:  Given the Diameter of a Mindstorms NXT Robot Tire and the distance between the two wheels, calculate the degrees rotation needed to make the robot do a Swing Turn of 90 degrees. (Diameter of Mindstorms Robot Tire = 56 millimeters)
(Distance between Robot wheels = ? -> You will need to measure)

 (Diameter of Mindstorms Robot Tire = 56 millimeters) Circumference of Tire =   3.14  *  __________________  (Diameter) Circumference of Tire = _________________________ 90 Degree Swing Turn = 1/4 of Circle Created by robot swinging around on tire.  Diameter of Robot Circle = Distance Between Wheels * 2 Circumference of Robot Circle = 3.14 * Distance Between Robot Wheels * 2 _______________________  =  3.14 * _________________________ * 2 Circumference of Robot Circle / 4 = Distance Wheel needs to travel. ________________________ / 4 = Distance Wheel needs to travel. _________________________ = Distance Wheel needs to travel Distance Wheel needs to travel / Diameter of Wheel = Rotations _________________________ / ________________  = Rotations Rotations = ___________________ Rotations * 360 = Degrees __________  * ___________ = ____________  Degrees = ______________

Exercise 3: Given the Diameter of a Mindstorms NXT Robot Tire and the distance between the two wheels, calculate the degrees rotation needed to make the robot do a Point Turn of 90 degrees. (Diameter of Mindstorms Robot Tire = 56 millimeters) Circumference of Tire =   3.14  *  __________________  (Diameter) Circumference of Tire = _________________________ 90 Degree Swing Turn = 1/4 of Circle Created by robot turning both wheels in opposite directions.  Diameter of Robot Circle = Distance Between Wheels Circumference of Robot Circle = 3.14 * Distance Between Robot Wheels _______________________  =  3.14 * _________________________ Circumference of Robot Circle / 4 = Distance Wheel needs to travel. ________________________ / 4 = Distance Wheel needs to travel. _________________________ = Distance Wheel needs to travel Distance Wheel needs to travel / Diameter of Wheel = Rotations _________________________ / ________________  = Rotations Rotations = ___________________ Rotations * 360 = Degrees __________  * ___________ = ____________  Degrees = ______________ (Both wheels need to turn these degrees in opposite directions.)