Question

The wheel of a cycle has a diameter $1\text{m}$. If the wheel has an angular speed of $5\text{rad/s}$, then calculate the speed of cycle in $\text{m/s}$.

• A. $5\text{m/s}$
• B. $2.5\text{m/s}$
• C. $7\text{m/s}$
• D. $7.5\text{m/s}$

Answer 1

The correct option is B $2.5\text{m/s}$

We have, $v=r\omega$
where, $v\to$ Linear speed
$\omega \to$ Angular speed
$r\to$ Radius of the wheel
Given,
$\omega =5\text{rad/s},r=0.5\text{m}$
$v=r\omega =0.5\times 5=2.5\text{m/s}$
$v=2.5\text{m/s}$