The diameter of the wheel of a cart is 1.05 m. How much distance will the cart cover in1000 rotations of the wheel?
Question
The diameter of the wheel of a cart is 1.05 m.
How much distance will the cart cover in 1000 rotations of the wheel?
Solution
To solve this problem, we need to understand that the distance covered in one rotation of the wheel is equal to the circumference of the wheel.
Step 1: Calculate the circumference of the wheel. The formula for the circumference of a circle is C = πd, where d is the diameter of the circle. In this case, the diameter of the wheel is 1.05 m. So, the circumference is C = π * 1.05 m.
Step 2: Calculate the distance covered in 1000 rotations. The distance covered in one rotation is the circumference of the wheel. So, the distance covered in 1000 rotations is 1000 times the circumference.
Let's calculate:
Step 1: C = π * 1.05 m ≈ 3.3 m (using π ≈ 3.14)
Step 2: Distance = 1000 * C = 1000 * 3.3 m = 3300 m
So, the cart will cover a distance of approximately 3300 meters in 1000 rotations of the wheel.
Similar Questions
A wheel travelled 55 km in 10001000 rotations. Find the diameter of the wheel to the nearest cm
Wheel of a cycle with diameter 56 cm completes 100 revolutions to reach the destination.Find the total distance covered.
The radius of a wheel is 20 cm. What is the distance it travelled after making 30 complete turns? (Take = 3.14.)
The radius of a cycle wheel is 35 cm. Find the number of turns required tocover 1540 m.
The ratio of the radii of two wheels is 4: 5. Find the ratio of theircircumference
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.