A Road Roller Takes 500 Complete Revolution To Move Once Over To Level A Road. Find The Of Road If The Diameter Of A Road Roller Is 84 Cm And Its Length Is 1 M

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Introduction

A road roller is a crucial piece of equipment used to level and compact surfaces, such as roads, sidewalks, and runways. It works by rolling over the surface, applying pressure and smoothing out any imperfections. In this article, we will explore the concept of a road roller taking 500 complete revolutions to move once over to level a road. We will calculate the circumference of the road roller and use it to find the length of the road.

Calculating the Circumference of the Road Roller

To calculate the circumference of the road roller, we need to use the formula:

Circumference = π x Diameter

where π is a mathematical constant approximately equal to 3.14, and Diameter is the diameter of the road roller.

Given that the diameter of the road roller is 84 cm, we can plug in the values to get:

Circumference = 3.14 x 84 cm Circumference = 264.36 cm

Converting the Circumference to Meters

To make the calculation easier, we will convert the circumference from centimeters to meters. There are 100 centimeters in 1 meter, so we can divide the circumference by 100 to get:

Circumference = 264.36 cm / 100 Circumference = 2.6436 m

Calculating the Length of the Road

Now that we have the circumference of the road roller, we can use it to calculate the length of the road. We know that the road roller takes 500 complete revolutions to move once over to level the road. This means that the length of the road is equal to 500 times the circumference of the road roller.

Length of road = 500 x Circumference Length of road = 500 x 2.6436 m Length of road = 1321.8 m

Calculating the Area of the Road

To calculate the area of the road, we need to use the formula:

Area = Length x Width

However, we do not have the width of the road. We only have the length and the diameter of the road roller. To find the width, we can use the formula:

Width = Diameter of road roller

Given that the diameter of the road roller is 84 cm, we can plug in the values to get:

Width = 84 cm Width = 0.84 m

Now that we have the width, we can calculate the area of the road:

Area = Length x Width Area = 1321.8 m x 0.84 m Area = 1111.572 m^2

Conclusion

In this article, we calculated the circumference of a road roller with a diameter of 84 cm and used it to find the length of the road. We also calculated the area of the road using the length and width of the road. The results show that the length of the road is approximately 1321.8 meters and the area of the road is approximately 1111.572 square meters.

References

Glossary

  • Circumference: The distance around a circle.
  • Diameter: The distance across a circle, passing through its center.
  • Length: The distance along a line.
  • Area: The amount of space inside a shape.
  • Width: The distance across a shape, perpendicular to its length.

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Introduction

In our previous article, we explored the concept of a road roller taking 500 complete revolutions to move once over to level a road. We calculated the circumference of the road roller and used it to find the length of the road. In this article, we will answer some frequently asked questions related to the topic.

Q: What is the purpose of a road roller?

A: A road roller is a crucial piece of equipment used to level and compact surfaces, such as roads, sidewalks, and runways. It works by rolling over the surface, applying pressure and smoothing out any imperfections.

Q: How does a road roller work?

A: A road roller works by using its weight and pressure to compact the surface. As it rolls over the surface, it applies pressure and smooths out any imperfections. The road roller can be powered by a motor or by manual effort.

Q: What is the significance of the diameter of a road roller?

A: The diameter of a road roller is significant because it affects the circumference of the road roller. The circumference is the distance around the road roller, and it is used to calculate the length of the road.

Q: How is the circumference of a road roller calculated?

A: The circumference of a road roller is calculated using the formula:

Circumference = π x Diameter

where π is a mathematical constant approximately equal to 3.14, and Diameter is the diameter of the road roller.

Q: What is the relationship between the circumference of a road roller and the length of the road?

A: The circumference of a road roller is used to calculate the length of the road. The length of the road is equal to 500 times the circumference of the road roller.

Q: How is the area of the road calculated?

A: The area of the road is calculated using the formula:

Area = Length x Width

However, we do not have the width of the road. We only have the length and the diameter of the road roller. To find the width, we can use the formula:

Width = Diameter of road roller

Q: What is the significance of the length of the road?

A: The length of the road is significant because it affects the area of the road. The area of the road is calculated using the length and width of the road.

Q: What is the significance of the area of the road?

A: The area of the road is significant because it affects the amount of material needed to build or repair the road.

Q: Can a road roller be used to level a road with a different diameter?

A: Yes, a road roller can be used to level a road with a different diameter. However, the circumference of the road roller will be different, and the length of the road will also be different.

Q: Can a road roller be used to level a road with a different length?

A: Yes, a road roller can be used to level a road with a different length. However, the circumference of the road roller will be the same, and the area of the road will also be different.

Conclusion

In this article, we answered some frequently asked questions related to the topic of a road roller taking 500 complete revolutions to move once over to level a road. We hope that this article has provided you with a better understanding of the concept and its significance.

References

Glossary

  • Circumference: The distance around a circle.
  • Diameter: The distance across a circle, passing through its center.
  • Length: The distance along a line.
  • Area: The amount of space inside a shape.
  • Width: The distance across a shape, perpendicular to its length.