find the number of revolutions taken by the wheel of a truck to cover a distance of 78.5 km if the diameter of the wheel is 1m
25000
To find the number of revolutions taken by the wheel of a truck to cover a distance of 78.5 km, we first need to calculate the circumference of the wheel.
The circumference of a circle can be calculated using the formula:
C = π * d
Where:
C is the circumference
π (pi) is approximately 3.14
d is the diameter of the circle
In this case, the diameter of the wheel is given as 1m. Plugging this value into the formula, we get:
C = 3.14 * 1
C ≈ 3.14 meters
Now, to find the number of revolutions, we need to know how many times the wheel can cover the distance of 3.14 meters in 1 kilometer.
One kilometer is equal to 1000 meters. Thus, the number of revolutions per kilometer can be calculated by dividing the distance covered in one kilometer (1000 meters) by the circumference of the wheel (3.14 meters):
Number of revolutions per kilometer = 1000 / 3.14
Now, we can calculate the total number of revolutions to cover the distance of 78.5 km by multiplying the number of revolutions per kilometer by the total distance in kilometers:
Total number of revolutions = Number of revolutions per kilometer * 78.5
Plugging in the values, we have:
Total number of revolutions = (1000 / 3.14) * 78.5
To get the exact answer, we need to perform this calculation:
Total number of revolutions ≈ 25096.178
Therefore, the wheel of the truck will take approximately 25,096 revolutions to cover a distance of 78.5 km.
one rotation = 1π = π m
78.5 km = 78500 m
number of revs = 78500/π = appr 24987