A circular wheel of radius 3.5 cm makes 600 rounds in 48 seconds, its speed is :

1. 275 cm/s

2. 27.5 m/s

3. 550 cm/s

4. 55 cm/s

Given:

Radius of circular wheel = 3.5 cm

Total rounds = 600

Total time = 48 seconds

As we know, the circumference of a circle = 2πr

$= 2 \times \dfrac{22}{7} \times 3.5\\[1em] = \dfrac{44}{7} \times 3.5\\[1em] = \dfrac{154}{7}\\[1em] = 22 \text{ cm}$

Total distance = The circumference of the circle x number of rounds

= 22 x 600

= 13200 cm

And, Speed = $\dfrac{\text{Distance}}{\text{Time}}$

= $\dfrac{13200}{48}$

= 275 cm/s

Hence, option 1 is the correct option.