Question

A particle moves in a circle of radius $1.0cm$ with a speed given by $v=2t$ where $v$ is in $cm/s$ and $t$ in seconds. Find the radial acceleration of the particle at $t=1s$ :

• A. $2.0cm{s}^{-2}$
• B. $3.0cm{s}^{-2}$
• C. $4.0cm{s}^{-2}$
• D. $5.0cm{s}^{-2}$

Answer 1

Answer: (C)

$4.0cm{s}^{-2}$

Velocity depends on time as, $v\left(t\right)=2t$ cm/s

$\therefore$ $v{|}_{t=1s}=2\times 1=2cm/s$

Radial acceleration of the particle at $t=1s$; $a_r=\frac{v^2}{r}=\frac{2^2}{1}=4$ $cm/s^2$