Question

Calculate the value of the linear velocity of a sphere revolving at a distance of $15cm$ from the axis of rotation, and having an angular speed of $15rad/s$.

• A. $22.5m/s$
• B. $0.225m/s$
• C. $2.25m/s$
• D. $0.025m/s$

Answer 1

The correct option is C

$2.25m/s$

$\text{Given: radius r = 15 cm = 0.15 m ( Using 1 cm = 0.01 m)}$

$Angularvelocity\omega =15rad/s$

$\text{We know that, v}$ = $\omega \times r$

$So,v$ = $15\times 0.15$

$v=2.25m/s$