Answer: To calculate the distance covered by the wheel in half an hour, we need to determine the total number of revolutions the wheel makes in that time and then convert it to the distance covered.
Given:
Diameter of the wheel = 35 cm
Radius of the wheel = Diameter/2 = 35/2 = 17.5 cm = 0.175 m (converting to meters)
Number of revolutions in 1 minute = 100
First, let's calculate the circumference of the wheel:
Circumference = 2 * π * radius
Using the value of π as 22/7:
Circumference = 2 * (22/7) * 0.175
Circumference = 1.1 m
Now, we can find the number of revolutions the wheel makes in half an hour:
Number of revolutions in 30 minutes = 100 revolutions/minute * 30 minutes
Number of revolutions in 30 minutes = 3000 revolutions
Finally, we can calculate the distance covered by the wheel:
Distance covered = Circumference * Number of revolutions
Distance covered = 1.1 m * 3000
Distance covered = 3300 m
Converting the distance to kilometers:
Distance covered = 3300 m / 1000 = 3.3 km
Therefore, the wheel covers a distance of 3.3 km in half an hour.
Explanation: