Question

Which one of these is NOT equal to linear velocity?a.v2/r b.displacement/time c.2πfrd.ωr

Answer 1

The linear velocity in terms of the angular velocity is,

$v=\omega r$

where,

$\omega\text{ is the angular velocity, r is the radius of the circular motion}$

The angular velocity in terms of the linear frequency is,

$\omega=2\pi f$

Thus, the linear velocity in terms of linear frequency is,

$v=2\pi fr$

The linear velocity in terms of the displacement and time is,

$v=\frac{\text{displacement}}{\text{time}}$

The relation given in the first option is the expression for centripetal acceleration.

$a_c=\frac{v^2}{r}$

Thus, option a is the correct answer.