Wheels+Distance+Quiz+1

1. The circumference of a robot's wheels are 5.2 cm. i. How many cm does your wheel travel per 360 degree rotation?

ii. In order to travel 10 cm, how many degrees does the wheel need to turn? (Show your work.)

iii. In order to travel 20 cm, how many degrees does the wheel need to turn? Show your work.

iv. How many degrees to travel 30 cm?

v. Look back at the procedure you used to find the number of degrees in the last 3 questions. If you want the robot to travel X cm, describe what mathematical operations (e.g. add 2 then divide by 5, etc.) you must perform on X in order to find the number of degrees.

vi. Does the formula you found in part (v) work for any robot? If not, what robots will it work for?

2. Many wheels are constructed from a tire (black) and a hub (grey). The robot runs 540 degrees using the assembled (hub+tire) wheel. However, it will be ran using just the grey hub as a wheel, without the black tire.

i. How many // degrees // must the new hub-only wheel turn in order to go the same distance?

ii. What other issues might he encounter in using the hub as a wheel by itself?

iii. How would these other issues affect the actual distance the robot travels?

3. You are working as the mechanical engineer on your team, building a brand new wheeled robot to explore the Atacama Desert in Chile. You have just found a new wheel that seems to perform better on the rugged terrain of the // salars // there. You decide that this wheel will be used on the next prototype of the robot that will be deployed for testing. What information, if any, must you communicate to the other members on your team when you make this change to the design?

What might happen to the robot’s behavior if you do not make these points clear?

4. Jeanne’s robot travels 65 cm using the program shown below. Assume that the comment is correct.

i. What size are the wheels on her robot?

ii. Jack’s robot goes the same distance with the program below. Assume that the comment is correct. What size are his wheels?

5. You are your team’s lead programmer hard at work refining your robot’s movement code the day before it needs to compete in a hallway navigation challenge. Your friend, the team’s mechanic, stops by and informs you that he seems to have misplaced the wheels for your robot during cleanup last night. He also says the local Wheels R Us will not have any replacements in stock for at least two weeks. There are several sets of 3.3-inch diameter wheels lying around the workshop, but they are not the same as the 2.7cm diameter ones that you had been planning to use. Your old code is shown below. What must you do in order to get your robot in working order to perform the challenge tomorrow?



Wheels Distance