the diameter of a wheel of a vehical is 0.70m long .How many rotation will it take complete in travelling a distance of 2.2km?
Answers
Answer:
- The wheel will rotate 1000 times to complete the distance of 2.2 km.
Step-by-step explanation:
Given that:
- Diameter of a wheel of a vehicle = 0.70 m
- Total distance = 2.2 km
To Find:
- How many rotations will the wheel complete in travelling a distance of 2.2 km?
Finding the circumference of the wheel:
We know that.
Circumference of a circle = π × Diameter
Circumference = (22 × 0.70)/7
Circumference = 2.2
∴ The circumference of the wheel = 2.2 m
Converting the total distance in m:
We know that.
1 km = 1000 m
2.2 km = (2.2 × 1000) m
2.2 km = 2200 m
Finding the number of rotations taken by wheel to complete the distance:
Number of rotation = (Total distance)/(Circumference)
Number of rotation = 2200/2.2
Number of rotation = 1000
∴ The number of rotations taken by wheel to complete the distance = 1000
Step-by-step explanation:
Given that:
- Diameter of a wheel of a vehicle = 0.70 m
- Total distance = 2.2 km
To Find:
- How many rotations will the wheel complete in travelling a distance of 2.2 km.
formulas used:
- Circumference of a circle = π × Diameter
- Number of rotation = (Total distance)/(Circumference)
Finding the circumference of the wheel:
We know that.
Circumference of a circle = π × Diameter
Circumference = (22 × 0.70)/7
Circumference = 2.2
➠ The circumference of the wheel = 2.2 m
Converting the total distance in m:
- We know that.
- 1 km = 1000 m
- 2.2 km = (2.2 × 1000) m
- 2.2 km = 2200 m
Finding the number of rotations taken by wheel to complete the distance:
- Number of rotation = (Total distance)/(Circumference)
- Number of rotation = 2200/2.2
- Number of rotation = 1000