A car with a 65cm diameter wheel travels 3.0km. How many revolutions does the wheel make in this distance?
3*10^5cm * 1rev/(65π cm) = ? rev
To find the number of revolutions the wheel makes, we need to know the circumference of the wheel, which can be calculated using the formula:
Circumference = π * diameter
Given that the diameter of the wheel is 65 cm, we can substitute it into the formula:
Circumference = π * 65 cm
Next, we need to convert the distance traveled from kilometers to centimeters since the circumference is in centimeters. 1 kilometer is equal to 100,000 centimeters.
Distance in centimeters = 3.0 km * 100,000 cm/km
Now, we can use the circumference and the distance in centimeters to find the number of wheel revolutions:
Number of revolutions = Distance in centimeters / Circumference
Let's substitute the values and calculate the answer:
Circumference = π * 65 cm
Distance in centimeters = 3.0 km * 100,000 cm/km
Number of revolutions = Distance in centimeters / Circumference