Question

Q.5 Solve the following
1) How many times a wheel of radius 28 cm must rotate to cover a distance of 352 m?​

Answer 1

Given :

• Radius of wheel = 28cm
• Distance travelled = 352m

To Find :

• Number of rotations.

Solution :

★ Distance travelled :

Distance travelled = 352m

We know that 1m = 100cm

So, 352 × 100 = 35200

★ Circumference of wheel :

We've π = 22/7, r = 28cm

By using formula,

⇒ Circumference of wheel = 2πr

⇒ Circumference of wheel = 2 × 22/7 × 28

⇒ Circumference of wheel = 2 × 22 × 4

⇒ Circumference of wheel = 176cm

To find number of rotations, we should divide distance travelled by circumference of wheel.

So, We've

• Distance travelled = 35200
• Circumference of wheel = 176cm

⇒ Number of rotations = Distance travelled / Circumference of wheel

⇒ Number of rotations = 35200 / 176

⇒ Number of rotations = 200

•°• Hence, Number of rotations = 200