Manual Knex 78890 - Education Amusement Park Experience Teachers Guide (page 55 of 80) (All languages)

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LESSON 8

8: U

NDERSTANDING

ISPLACEMENT

Am usement Par k Ex perienc e

2. Students will determine the circumference of the circle traveled by the smaller arms of different

izes. In order to carry out this experiment, the students will first need to complete some

mathematical calculations.

. Determine the circumference of the circle that a seat travels through as it makes a complete

rotation:

) Place a sheet of paper under a seat with a yellow Rod forming its small arm.

ii) One member of the student group looks directly down onto the seat being investigated

and directs his/her partner to place a dot on the paper directly below the Rod that hangs

from the larger arm. (This point represents the center of the circle that the small arm

traces as it turns.)

iii) The observer then directs his/her partner to place a dot directly under the location of one

of the seats on the small arm. The distance between the two dots represents the radius

of the circle that the seat travels as it rotates.

iv) Students will determine the distance the seat travels using the formula: C = 2πr, then enter

the data, calculations and distances in their journals.

v) Students will determine the distance the other seat travels by repeating the above steps

for one of the seats on a red Rod.

b. Students can now determine the exact distance that each of the two different sized smaller

arms travel during one revolution of the large arms.

i) Refer to the data collected in Activity # 1. List the value measured for the number of

times a small arm with a red Rod turns in one rotation of the large arms. List the value

measured for the small arm with the yellow Rod.

ii) Multiply the number of turns made by the small arm with the red Rod by the

circumference of the circle traced by the seats on that same small arm of the ride.

The resultant value is the distance through which a seat on the small arm with the red

Rod travels during one rotation of the large arms.

iii) Repeat step # 2b.ii for the small arm with the yellow Rod.

iv) Compare the findings for the two different small arms.

Whole Class

3. Discuss the findings with students.

a. Have students describe their experimental techniques.

b. Have students present their results.

c. Did experimentation support their original predictions or not? Explain.

d. Were the students surprised by their results? Explain.

e. Students should record any pertinent information from the class discussion in their journals.

Just for Fun

A popular toy, found in cereal boxes, is a small plastic device that makes different spirals on paper.

Surprisingly, the Scrambler acts just like this toy. Place the Scrambler model on a piece of butcher

paper and attach a Sharpie

marker, (using a rubber band or piece of tape), to one of the seats

attached to a short arm of longer length. Activate the ride and watch the design it traces out.

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Knex 78890 - Education Amusement Park Experience Teachers Guide Manual

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