A car goes on a horizontal circular road of radius $R = 1\,\text{m}$ with speed increasing at $\dfrac{dv}{dt} = 3\,\text{m/s}^2$. The friction coefficient between road and tyre is $\mu = 1/\sqrt{10}$. Find the speed (in $\text{m/s}$) at which the car will skid.