A superspeedway in New Delhi has among the highest super-elevation rates of any track on the Indian Grand Prix circuit. The track requires drivers to negotiate turns with a radius of $335$ m and $33^{\circ}$ banking. Given this information, the coefficient of side friction required in order to allow a vehicle to travel at $320$ km/h along the curve is

1. $1.761$
2. $0.176$
3. $0.253$
4. $2.530$