Usual Tire
Classical Mechanics
Level
1
The diameter of a tire is 64.8 cm. A tack is embedded in the tread of the right rear tire. What is the magnitude and direction of the tack's angular velocity vector if the vehicle is traveling at 10.0 km/h?
The answer is 8.58.
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1 solution
Hello and peace be upon you,
As diameter = 64.8 cm = 0.648m, r = 0.324m,
linear velocity, v = 10 km/h = 10 000 m / 3600s = 25/9 m/s ,
By applying ,
v = rw , where w = angular velocity,
w = v / r = 25/9 / 0.324 ~ = 8.573 rad/s...
Thanks...