A curve in a stretch of highway has radius R. The road is not banked in any way. The coefficient of static friction between the

Question

3 years ago

11

tires and the road is . What is the fastest speed that a car can safely travel around the curve

1 answer:

adelina 88 [10] · Answer 1 · 2022-02-26T02:33:20+03:00

Answer:

maximum possible velocity = $\sqrt{ugR}$

Explanation:

centripetal acceleration when the car is going in the circle must be less than the maximum friction for the car to not slip.

centripetal acceleration $\frac{mv^{2}}{r}$

where v is the velocity of car and r is the radius of circle

maximum friction = umg

where u is the coefficient of static friction.

therefore $umg\geq \frac{mv^{2}}{R}$

therefore maximum possible velocity = $\sqrt{ugR}$