Question

The diameter of the wheel of a heavy vehicle is 91cm. Find the distance traveled by the vehicle when the wheel rotates 1000 times​

Answer 1

Answer :

286000 cm

Step by step explanation :

and if u want this answer in "m" or "km" so convert it .

Answer 2

Answer:

When the wheel is rotated 1000 times the distance covered by the vehicle is 286000cm.

Step-by-step explanation:

We are given that, the diameter of the wheel of a heavy vehicle is 91cm.

With this information, we are asked to find out the distance traveled by the vehicle when the wheel rotates 1000 times.

In-order to find out the distance traveled by the vehicle when the wheel is rotated 1000 times, first we must calculate the circumference of the wheel.

Since the wheel is in the shape/form of a circle.

The circumference of a circle is the product of pi and length of the diameter of a circle.

$\boxed{\bf{Circumference_{(circle)} = \pi{D}}}$

By substituting the given values in the formula, we get the following results:

$\implies Circumference_{(wheel)} = \dfrac{22}{\cancel{7}} \times \cancel{91} \\\\\\ \implies Circumference_{(wheel)} = 22 \times 13 \\\\\\ \implies Circumference_{(wheel)} = 286$

When the wheel is rotated 1000 times, we can find the distance traveled by the vehicle by multiplying the circumference of the wheel by 1000 revolutions.

$\boxed{\bf{Distance = Circumference_{(wheel)} \times Rotations}}$

So, the distance traveled by the vehicle when the wheel is rotated 1000 times will be:

$\implies Distance = 286 \times 1000 \\\\\\\ \implies \boxed{\bf{Distance = 286000}}$

So our final answer is:

When the wheel is rotated 1000 times the distance covered by the vehicle is 286000cm.