If the automobile traveling at 80.0 km/h has tires of 75.0 cm diameter , then the angular speed of the tires about their axles is 59.3 rad/sec .
In the question ,
it is given that ,
the speed of the automobile is = 80 km/h
converting it into m/s we get ,
Speed of the automobile as = 80 × (1000/3600) = 22.2 m/s .
the radius of the tire = (0.750/2) m = 0.375 m
let the angular speed of the tire about their axles = ω .
Angular speed (ω) = velocity(v) / radius(r)
substituting the value of velocity and radius ,
we get ,
ω = 22.2/0.375
= 59.3 rad/sec .
Therefore , the angular speed is 59.3 rad/sec .
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