Answer:
I am not able to know the answer because you have not given enough information about the problem.
Also, you did not say if it is moving. Only how big the diameter of the bike wheel is.
Step-by-step explanation:
To determine the rotational speed of a road bike wheel in revolutions per minute (rpm), we need to know its circumference and the speed at which it is traveling.
In this case, we are given the diameter of the wheel, including the tire, which is 70 cm. To find the circumference, we can use the formula:
Circumference = π * Diameter
where π (pi) is a constant approximately equal to 3.14159.
Circumference = 3.14159 * 70 cm Circumference ≈ 219.911 cm
Now, to calculate the speed at which the wheel is traveling, we need additional information such as the linear speed or distance traveled per unit of time.
Let's say the bike is traveling at a speed of v meters per second. The distance traveled in one revolution of the wheel is equal to the circumference.
So, the linear speed (v) is equal to the circumference times the number of revolutions per second:
v = Circumference * Revolutions per second
Now, to convert the linear speed to revolutions per minute (rpm), we multiply by 60 (since there are 60 seconds in a minute):
rpm = Revolutions per second * 60
Substituting the previously calculated circumference:
rpm = (219.911 cm Revolutions per second) 60
To simplify the calculation, we'll convert the circumference from cm to meters:
rpm = (2.19911 meters Revolutions per second) 60
Since we don't have the exact speed at which the wheel is traveling, we can't determine the specific rpm value at this point. However, if you provide the linear speed or any additional information, we can calculate the rpm accordingly.