Question

the radius of a car wheel is 18cm. how far would the wheel move after making 70 complete revolutions​

Answer 1

The unicycle will move exactly as far as the circumference of the wheel.

diameter 70 cm =

radius = 18 cm

so,

distance in one revolution = circumference of tyre

= 2r

= 2x(22/7)x18

= 2x22x5

= 220 cm

now,

distance in 50 volutions = 220x50 = 1000 cm = 11 m

Answer 2

The distance covered by the wheel after making 70 complete revolutions is 7920 cm or 79.20 m.

Given: The radius of a car wheel is 18 cm.

To Find: The distance covered by the wheel after making 70 complete revolutions​.

Solution:

• The distance covered by the wheel can be calculated by the formula,

      Distance covered = Number of revolutions × Circumference   ....(1)

• The circumference can be calculated by the formula,

         Circumference = 2πR             [ where R = radius of the wheel ]

Coming to the numerical, we are given;

         Radius = 18 cm

Hence, circumference = 2 × π × 18 cm

                                     = 113.14 cm

Now, distance covered in 70 complete revolutions = Number of revolutions × Circumference

Distance covered = 70 × 113.14 cm

                              = 7919.8 cm

                              ≅ 7920 cm

                              ≅ 79.20 m

Hence, the distance covered by the wheel after making 70 complete revolutions is 7920 cm or 79.20 m.

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