Question

A racing car driver drives his car on a flat circular track of radius $\frac{25}{3}$ m having a coefficient of friction 0.5.
The magnitude of its tangential acceleration at an instant when car starts slipping at a speed of 5 m/s is

• A. $2m/s^2$
• B. $3m/s^2$
• C. $4m/s^2$
• D. $1m/s^2$

Answer 1

The correct option is C $4m/s^2$

F = ma
$\Rightarrow \mu g=m\sqrt{\left(\frac{v^2}{r}\right)+a_t^2}$
$\Rightarrow a_t=\sqrt{{\mu }^2{g}^2-{\left(\frac{v^2}{r}\right)}^2}=4m/s^2$