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

Answer:

30.30 m/s

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

$tan\theta =\frac{v^{2}}{rg}$

$tan25 =\frac{v^{2}}{201\times9.8}$

v = 30.30 m/s