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A car travels at 71.1 km/h on a level road in the positive direction of an x axi

ID: 1646541 • Letter: A

Question

A car travels at 71.1 km/h on a level road in the positive direction of an x axis. Each tire has a diameter of 73.3 cm. Relative to a woman riding in the car and in unit-vector notation, what are the velocity v Overscript right-arrow EndScripts at the (a) center, (b) top, and (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 v Overscript right-arrow EndScripts at the (g) center, (h) top, and (i) bottom of the tire and the magnitude a of the acceleration at the (j) center, (k) top, and (l) bottom of each tire?

Explanation / Answer

Solution:

let

v = 71.1 km/h

and

r = 73.3 cm => 0.000733 km

hence;

a) 0


b) v = 71.1 km/h

c)-v = - 71.1 km/h

d) 0

e) v2/r = 6896603.001 (the direction of the center of the wheel)

f) same as part (e)

g) v = 71.1 km/h

h) 2v = 142.2 km/h

i) 0

j) 0

k) v2/r

l) v2/r [same as part (e)]

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