Count the teeth in the front and rear gears in speeds 1, 5, 6 and 10 for a ten-speed bike. Record your data in the table and figure the ISA (speed advantage) and the IMA (mechanical advantage)for each speed. (The diagram shows a rear gear with 34 teeth and front gear with 52 teeth.)

Sorry; my bike is 24 speed.

The front and rear gears usually have more than one sprocket, with different numbers of teeth on each.

This is an exercise you should do with your own bike.

I don't know of any derailleur bike that "numbers" its speeds.

To count the teeth in the front and rear gears of a ten-speed bike and calculate the ISA and IMA for each speed, you will need to follow these steps:

1. Identify the gears: In this case, you have the rear gear with 34 teeth and the front gear with 52 teeth.

2. Determine the gear combinations for each speed: A ten-speed bike typically has two or three front gears and five or six rear gears. You need to know which gear combinations are associated with speeds 1, 5, 6, and 10. Once you identify the gear combinations for each speed, note the specific gears involved.

3. Count the teeth: For each gear combination, count the number of teeth on both the front and rear gears. Let's assume you already have the specific gear combinations for the speeds mentioned.

4. Record the data in a table: Create a table with four columns: Speed, Gear Combination, Number of Teeth in Front Gear, Number of Teeth in Rear Gear. Fill in the table with the appropriate values obtained from step 3.

5. Calculate ISA (speed advantage): ISA stands for "Ideal Speed Advantage" and is the ratio of the number of teeth on the front gear to the number of teeth on the rear gear. For each speed, divide the number of teeth on the front gear by the number of teeth on the rear gear and record the result in the table.

6. Calculate IMA (mechanical advantage): IMA stands for "Ideal Mechanical Advantage" and is the inverse of the ISA. For each speed, divide the number of teeth on the rear gear by the number of teeth on the front gear and record the result in the table.

7. Analyze the data: Review the calculated ISA and IMA values for each speed to understand the speed advantage and mechanical advantage at different gear combinations.

Following these steps, you should be able to count the teeth in the front and rear gears, record the data in a table, and calculate the ISA and IMA for each speed on the ten-speed bike.