Sure! Let's solve this problem step-by-step.
Step 1: Understand the given information
- The circumference of the wheel is 33 inches.
- The total distance the wheel travels is 1 mile.
- We know that 1 mile equals 5280 feet.
- We also know that 1 foot equals 12 inches.
Step 2: Convert the distance the wheel travels from miles to inches
- Convert 1 mile to inches:
[tex]\[ 1\ \text{mile} = 5280\ \text{feet} \][/tex]
[tex]\[ 5280\ \text{feet} \times 12\ \text{inches per foot} = 63360\ \text{inches} \][/tex]
So, the total distance the wheel travels in inches is 63,360 inches.
Step 3: Determine the number of revolutions
- Each revolution of the wheel moves it forward by its circumference, which is 33 inches.
- To find the number of revolutions, we divide the total distance traveled by the circumference of the wheel:
[tex]\[ \text{Number of revolutions} = \frac{\text{Total distance traveled}}{\text{Circumference of the wheel}} \][/tex]
[tex]\[ \text{Number of revolutions} = \frac{63360\ \text{inches}}{33\ \text{inches}} \][/tex]
[tex]\[ \text{Number of revolutions} = 1920 \][/tex]
Therefore, the wheel makes 1920 revolutions when it rolls 1 mile.
Answer:
○ A) 1920
