Question

A wheel of radius $0.5m$ rolls without sliding on a horizontal surface, starting from rest, the wheel moves with constant acceleration $6rad/s^2$. The distance travelled by the centre of the wheel from $t=0$ to $t=3s$ is:

• A. $27m$
• B. $13.5m$
• C. $18m$
• D. $zero$

Answer 1

Answer: (B)

$13.5m$

We know that in case of no slipping,

$a=r\alpha =\left(0.5\right)\left(6\right)=3m/s^2$

Distance travelled is $S=\frac{1}{2}a{t}^2=\frac{1}{2}\times 3\times \left(3^2\right)=13.5m$