mtproblems1

__**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 20.0cm. Show your calculations to earn credit.

What is the circumference of the wheel? 6.4cm x 3.14 = 20.1cm

What is the circumference of the traced circle? 20.0cm x 3.14 = 62.8 cm

How many wheel rotations are required to travel the circumference of the circle one time? . .  . 62.8cm = distance the wheel needs to go to travel the circle one time.
 * || __ Degrees of turn __ ||  || = ||   || __ Distance wheel needs to go __ ||   ||
 * || Degrees in a circle ||  ||   ||   || Circumference of the traced circle ||   ||
 * || __ 360 __ ||  || = ||   || __ Distance wheel needs to go __ ||   ||
 * || 360 ||  ||   ||   || 62.8cm ||   ||
 * (62.8) || __ 360 __ ||  || = ||   || (62.8) __ Distance wheel needs to go __ ||   ||
 * || 360 ||  ||   ||   || 62.8cm ||   ||

Distance = (wheel circumference)(Rotations)

62.8cm = 20.1cm (Rotations)

How many degrees must be entered into the wait block for the robot to turn 360 degrees? 3.1 rotations * 360 = 1116 degrees
 * __62.8cm__ = ||  || __20.1cm(Rotation)__ = ||   || 3.1 rotations ||   ||
 * 20.1cm ||  || 20.1cm ||   ||   ||

What is the distance the wheel needs to go to make a 90 degree turn? 62.8cm/4= 15.7cm

How many degrees must be entered into the wait block for the robot to turn 90 degrees? 1116degrees/4 = 279 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? 4.2cm x 3.14 = 13.2cm

What is the circumference of the traced circle? 24cm x 3.14 = 75.4cm

How many degrees must be entered into the wait block for the robot to turn 100 degrees? .
 * || __ 100 __ ||  || = ||   || __ Distance wheel needs to go __ ||   ||
 * || 360 ||  ||   ||   || 75.4cm ||

20.9cm = Distance
 * (75.4cm) || __ 100 __ ||  || = || (75.4cm) || __ Distance wheel needs to go __ ||   ||
 * || 360 ||  ||   ||   || 75.4cm ||

20.9cm = 13.2cm x Rotations

1.6 = Rotations
 * || __20.9cm__ = || __13.2cm x Rotations__ ||  ||   ||   ||   ||
 * || 13.2cm || 13.2cm ||  ||   ||   ||   ||

1.6 x 360 = 570 degrees

What is the distance the wheel needs to go to make a 200 degree turn? 2 x 20.9cm = 41.8cm

2 x 570 = 1140 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? 7.5cm x 3.14 = 23.55cm

What is the circumference of the traced circle? 38cm x 3.14 = 119.32cm

How many degrees must be entered into the wait block for the robot to turn 120 degrees? (120)(119.32cm) = (360)distance . 39.8cm = distance
 * || __120__ = ||  || __distance__ ||   ||
 * || 360 ||  || 119.32cm ||   ||
 * || __120(119.32cm)__ = ||  || __(360)distance__ ||   ||
 * || 360 ||  || 360 ||   ||

distance = circumference x rotations

39.8cm = 23.55cm x rotations

1.69 = rotations
 * || __39.8cm__ = ||  || __23.55cm x rotations__ ||   ||
 * || 23.55cm ||  || 23.55cm ||   ||

1.69 rotations x 360 degrees = 608.4 degrees

What is the distance the wheel needs to go to make a 360 degree turn? 360 degrees is one circumference, so the wheel needs to go 119.32

How many degrees must be entered into the wait block for the robot to turn 360 degrees. 120degrees x 3 = 360 so this is why the degrees are multiplied by 3. 608.4 degrees x 3 = 1825.2 degrees