Measured Turns

1. The left wheel spun.
2.
i. It was a circle.
ii. The right wheel is at the center.
iii. The left wheel ran on the circumference.
iv. Yes, they are.
3.
i. 28.5 cm
ii. 89.5 cm in circumference.
iii. angle turned/360= distance traveled/89.5
4.
i. The circumference of the wheel is the linear measurement of the distance traveled in one rotation of the wheel. The circumference of the circle traced by the robot is the distance traveled by the robot as it turns. It is dependent on the width of the robot.
ii. the circumference of the wheel
iii. the circumference of the circle drawn by the robot
5.  90/360=x/89.5
22.375=28.5(x/360)
x= 442.07 degrees
6.
i. Yes, it turned about 90 degrees. Some factors that could have influenced the distance would be traction, the size of the wheels, and accuracy of the calculations.
ii. Yes, our calculations predicted a fairly accurate outcome.
iii. No. We need to conduct more tests with various wheels and measures of angles.
7.
i. 885.2 degrees
ii. 1327.7 degrees
iii.  1770.3 degrees
iv. 3540.7 degrees
8.
i.-iv. done
v. The first two were pretty close but the last two were slightly off. However, they still support the hypothesis.
9.
i. 6 cm
ii. It was very close to 90 degrees.
iii. Yes, it was a good estimate.
iv. 14 cm radius
10.
i. Since it is a gradual turn, the object has the possibility of running into obstacles directly in front of it. The length of the vehicle affects the turning radius.
ii. A car's turning radius would be about 15-25 feet.
iii. They have to use a swing turn.
11. (210/360)* pi *2*12.4= pi*4.5(x/360)
    x= 1157 degrees.
12. (180/360)*pi*2*9= pi*2.5(x/360)
   x = 1296 degrees
13.
i. (180/360)*pi*2*10.8= pi*d(760/360)
d = 5.1
Therefore, the wheels with the diameter of 4.6 will be the best.
ii. He could shorten the number of degrees on the wait block. He could also increase the distance between the wheels.