Question

Without steering, a car (mass 1501 kg) can travel with a certain speed around a banked frictionless corner angled at 25.0° to the horizontal and with radius 201 m. What is this speed? Draw a diagram with labelled vectors for forces/acceleration to assist in calculations.

Answer 1

30.30 m/s

Step-by-step explanation:

mass of car, m = 1501 kg

angle of banking, θ = 25°

radius, r = 201 m

Let the speed is v.

The relation for the speed is given by

`tan\theta =(v^(2))/(rg)`

`tan25 =(v^(2))/(201*9.8)`

v = 30.30 m/s