Question

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads). (a) Calculate the ideal speed in (m/s) to take a 110 m radius curve banked at 15°. 16.99 Correct: Your answer is correct. m/s

Answer 1

ideal speed(v)≅17m/s

Step-by-step explanation:

Given: Radius, r = 110 m

Angle(α) = 15°

g=9.81m/
`s^(2)`

Find; (a) The ideal speed, v.

tanα=
`(v^(2) )/(rg)`

make V subject of the formula;

v=
`√(rgtan\alpha )`

v=
`√(110 * 9.81* tan15)`

v=
`√(289.144)`

v≅17m/s