Motion in a Plane - Result Question 57

60. A body is whirled in a horizontal circle of radius $20 cm$. It has an angular velocity of $10 rad / s$. What is its linear velocity at any point on circular path

[1996]

(a) $\sqrt{2} m / s$

(b) $2 m / s$

(c) $10 m / s$

(d) $20 m / s$

Show Answer

Solution:

  1. (b) Radius of circular path $=20 cm=\frac{2}{10} m$

Angular speed of body $=10 rad / s$

Linear velocity $=$ radius $\times$ Angular speed

$=\frac{2}{10} \times 10=2 m / s$