MorePractice


 * __Turn Angle__ || = || __Wheel Distance__ ||  ||   ||   ||   ||   ||   ||
 * 360 ||  || Traced Circle ||   ||   ||   ||   ||   ||   ||

Distance = Circumference x Rotations

................................................ __ **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?

Problem 4a A robot has a wheel diameter of 6.25cm and a T-Circle diameter of 31cm. How many program degrees must be entered into the wait block for the robot to turn 60 degrees?

Wheel Circumference = 6.25cm x 3.14 = 19.625cm T-Circle Circumference = 31cm x 3.14 = 97.34cm


 * __Turn Angle__ || = || __Wheel Distance__ ||  ||   ||   ||   ||   ||   ||
 * 360 ||  || T-Circle-Circ ||   ||   ||   ||   ||   ||   ||

Wheel Distance (360) = (60)(97.34cm)
 * __60__ || = || Wheel Distance ||  ||   ||   ||   ||   ||   ||
 * 360 ||  || 97.34cm ||   ||   ||   ||   ||   ||   ||

__Wheel Distance (360)(1/360__) = (60)(97.34cm)(1/360)

Wheel Distance = 16.22cm

Distance = (Wheel Circ)(Rotations)

16.22cm = 19.625cm (Rotations

0.8267 = Rotations
 * __16.22cm__ || = || __19.625cm(Rotations)__ ||  ||   ||   ||   ||   ||   ||
 * 19.625cm ||  || 19.625cm ||   ||   ||   ||   ||   ||   ||


 * 0.8267rots || x || __360degrees__ || = || 297.6 Program degrees ||  ||   ||   ||   ||
 * ||  || 1rots ||   ||   ||   ||   ||   ||   ||

How many program degrees must be entered into the wait block to turn the above robot 120 degrees, 180degrees, 240degrees, 300degrees or 360degrees?

How many program degrees for a 100 degree turn? Wheel diameter = 8cm T-Circle diameter = 40cm

W-Circ = 8cm(3.14) = 25.12cm T-Circle-Circ = 40cm(3.14) = 125.6cm

Wheel distance(360) = (100)125.6cm
 * __100__ || = || __wheel distance__ ||  ||   ||   ||   ||   ||   ||
 * 360 ||  || 125.6cm ||   ||   ||   ||   ||   ||   ||

Wheel distance = 34.89cm
 * __wheel distance(360)__ || = || __(100)(125.6cm__ ||  ||   ||   ||   ||   ||   ||
 * 360 ||  || 360 ||   ||   ||   ||   ||   ||   ||

34.89cm = 25.12cm(Rotations)

1.389 = Rotations

1.389 X 360 = 500 program degrees.