At what speed will a car round a 52-m-radius curve,banked at a 45 $\degree$ angle,if no friction is required between the road and tires to prevent the car from slipping? (g = 9.8 m/s²) A)27 m/s B)17 m/s C)23 m/s D)35 m/s

Question

Quizplus · Accepted Answer

The formula to calculate speed in a banked curve with no friction is
v = $\sqrt{rg	an	heta}$
Here, r = 52 m, g = 9.8 m/s$^2$ and $	heta$ = 45$^\circ$ = $\frac{\pi}{4}$ radians.
Substituting the values in the formula, we get
v = $\sqrt{52 \cdot 9.8 \cdot 	an(\frac{\pi}{4})}$ = 22.96 m/s $\approx$ 23 m/s (rounded to nearest whole number)
So, the correct option is C.

At What Speed Will a Car Round a 52-M-Radius Curve,banked °\degree°

At What Speed Will a Car Round a 52-M-Radius Curve,banked $\degree$