Question

A 1840-kg car travels on a banked, horizontal curve of diameter 225 m. Find the maximum safe speed if the coefficient of friction between the tires and the road is 0.90 and the banking angle is 6.0°. Additionally, what net force does the car experience in this case?

Answer 1

Answer:

35 m/s

Explanation:

m = 1840 kg

2R = 225 m

R = 112.5 m

μ = 0.9

θ = 6 degree

use the formula for the banking of road

$v = \sqrt{\frac{Rg(Sin\theta +\mu Cos\theta )}{Cos\theta -\mu Sin\theta }}$

$v = \sqrt{\frac{112.5\times 9.8(Sin6 +0.9 Cos6 )}{Cos6 -0.9Sin6 }}$

v = 35 m/s