Question

How many times does a wheel of radius 42 cm rotate to cover a distance of 396 m?

Please ans in method​

Answer 1

Step-by-step explanation:

Concept - The distance covered by a wheel in one rotation is equal to its CIRCUMFERENCE!

So here, if the radius (R) = 42cm, the circumference (C) => 2TR = 2 x (22/7) x 48 = 264 cm.

The required distance (D) is 396 m = 396 x 100

cm [1m = 100cm].

Thus, the number of times the wheel must rotate

= Total Distance/Circumference

= D/C = 396 x 100/264 = 150.

Hope this helps ! :)

Answer 2

Answer:

The wheel would turn 150 times to cover the distance of 396m.

Step-by-step explanation:

Given the radius of wheel=42cm

Circumference of the wheel=2π×r

⇒Circumference of the wheel=2×$\frac{22}{7}$×42

⇒Circumference of the wheel=2×22×6

⇒Circumference of the wheel=264cm or 2.64m

Circumference tells us that in 1 turn it covers a distance of 2.64m.

So, the number of turns to cover 396m=$\frac{total disatance}{distance covered in 1 turn}$

⇒Number of turns=$\frac{396}{2.64}$

⇒Number of turns=150 turns.