Question

How many times a wheel of radius 28
cm must rotate to cover a distance of
352 m?​

Answer 1

Answer:

Let us consider a wheel A of radius 28 cm. Let us assume the number of rotations required by wheel A to cover 352 m  distance be n.

Total distance covered, d = 352 m

As we know that the circumference of any circle represents the length of the outer boundary of the circle and the  circumference of any circle having radius r is given by,

Circumference of circle = 2πr

The radius of the given wheel A, r = 28 cm

Circumference of wheel A = 2πr = 2 × $\frac{22}{7}$ × 28 = 176 cm

Since, 1 cm = $\frac{1}{100}$ m

⇒ Circumference of wheel A = $\frac{176}{100}$ = 1.76 m

Also we know that the total distance covered in one rotation of a circular wheel of radius r is equal to the circumference  corresponding to that wheel (i.e., 2πT).

When a circular wheel of radius r takes n rotations,  the total distance covered by the wheel will be equal to the product  of the circumference of the wheel and the total number of rotations undertaken by the wheel,

i.e., Total distance covered = (Circumference of the wheel) × (Total number of rotations)

⇒ 352 = 1.76 × n

⇒ n = $\frac{352}{1.76}$ = 200

Therefore, 200 total rotations are required for the given wheel A to go 352 m.

Hope it helps you!!♥♥♥