Question 608950
Convert the linear velocity (25 km/hr) of a car going around a round-about to angular velocity in rad/s. Assume the radius of the circle the car is travelling is 10 m. 
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By qualitative analysis method:
(25km/hr)(1000m/km)(hr/3600 sec)(rev/2πr(m)(2π rad/rev)
km, hr, m, rev, 2π cancel out, leaving:
25*1000/3600r≈.694 rad/sec
same answer you got