Question

A wheel of $50\text{cm}$ radius rotates through ${360}^{\circ }$ around its axis. What is the distance travelled by a point on the edge of the wheel?

• A. $6.28\text{m}$
• B. $5\text{m}$
• C. $1.5\text{m}$
• D. $3.14\text{m}$

Answer 1

The correct option is D $3.14\text{m}$

Given :
Radius $\left(r\right)=50\text{cm}=0.5\text{meters}$
Angle $\left(\theta \right)={360}^{\circ }=2\pi =6.28$ radians $\because \pi =3.14$
We know that,
$l=r\theta$
$l=\left(0.5\text{m}\right)\left(6.28\text{rad}\right)$
$l=3.14\text{meters}$