Revo Axle

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Revo Axle

could someone check this for me? physics, rotational movement of a tire?


so, here's the prob

An automobile tire has a radius of 0.336 m, and its center moves forward with a linear speed of v = 15.5 m/s. (a) Determine the angular speed of the wheel. (b) Relative to the axle, what is the tangential speed of a point located 0.165 m from the axle?

for part (a), i found the revolutions per second by

15.5 meters / (circumference of tire)
15.5 m/ (2pi * .335m)
7.346 revo/sec

converted revo/sec to rad/sec

7.346 revo/sec * (2pi/1 revo)
angular speed "w" = 46.156 rad/s

for part (b), i used
V_tangential = w *r
46.156*.165m
=7.616 m/s

could someone confirm this for me??? THANKKKSSS!~~~~!

angular velocity = velocity/radius
15.5/0.336=46.13

velocity = angular velocityxradius
=46.13*0.165=7.611

you went the long way around on the first part so you have some rounding error but its all right =)

nice that someone has actually looked at a question before asking it on this site >.<

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