Question

MC2. A car equipped with four tires with radius R drives around an unbanked curve at a linear speed of v. What is the linear speed of the top (highest point) of each of the four tires? (a) 0 (6) V2v (c) V (a) (e) 20

Answer 1

car speed = v

center of the tire also moves withe same speed - v.

angular speed of the center point with respect to the ground $\omega$ = v/R.

The diameter through the contact point , the center and the top point rotates with angular speed $\omega$ wrt the contact point., the contact point is instantaneously at rest.

linear velocity of the top point v_top = $\omega$ *2R = 2v

answer (e)