A car traels at 61.4 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 65.2 cm. Relative to a woman riding in the car an in unit vector notation.

Question

What are the velocity at the

a. center

b. top

c. bottom of the tire and the magnitude a of the acceleration at the

d. center

e. top and

f. bottom of each tire?

Relative to a hitchhiker sitting next to the road and in unit-vector notation, what are the velocity at the

g. center

h. top

i. bottom of the tire and the magnitude a of the accélération at the

j. center

k. top and

l. bottom of each tire

Answer 1

Hi Andrea Marie O.,

Easy. If you haven't already had it solved in class: for a. - f., just do circular motion of the tire. You know the tangential speed (car speed), so use circular motion equations.

For g. - i., take the vector quantities in a. - c., and add the woman in the car's velocity vector relative to the hitchhiker. For accelerations, ask yourself, is there any acceleration of the car taking place? No; so the accelerations stand as is for j.- l. The constant velocity vector added to the velocities disappears on differentiation! That's true of differentiation of any added constant property, by the way.