If ${a_r}$ and ${a_t}$represent radial and tangential accelerations, the motion of a particle will be uniformly circular if
${a_r} = 0$ and ${a_t} = 0$
${a_r} = 0$ but ${a_t} \ne 0$
${a_r} \ne 0$ but ${a_t} = 0$
${a_r} \ne 0$ and ${a_t} \ne 0$
car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true
The angular speed of seconds needle in a mechanical watch is
A particle is moving with uniform speed along the circumference of a circle of radius $R$ under the action of a central fictitious force $F$ which is inversely proportional to $R ^{3}$. Its time period of revolution will be given by
A car changes speed from $18\,km/h$ to $36\,km/h$ in $5\,s$. The diameter of its wheel is $0.8\,m$ . The angular acceleration of the wheel is ........ $rad/s^2$
A car is moving on a circular path of radius $500\ m$ with speed $30\ m/s$ and speed is increasing at rate $2\ m/s^2$ net acceleration will be ......... $m/s^2$