Question

If $a_{r}$ and $a_{t}$ represent radial and tangential accelerations, the motion of a particle will be uniformly circular if:

• A. $a_{r}=0$ and $a_{t}=0$
• B. $a_{r}=0$ but $a_{t}\ne 0$
• C. $a_{r}\ne 0$ but $a_{t}=0$
• D. $a_{r}\ne 0$ and $a_{t}\ne 0$

Answer 1

Answer: (C)

$a_{r}\ne 0$ but $a_{t}=0$

Answer 2

(a) If $a_{r}=0$ and $a_{t}=0$, then motion is uniform translatory (b) If $a_{r}=0$ but $a_{t} \neq 0$, then motion is accelerated translatory (c) If $a_{r} \neq 0$ but $a_{t}=0$, then motion is uniform circular (d) If $a_{r} \neq 0$ and $a_{t} \neq 0$, then motion is $a$ non-uniform circular