alleryStart learning →An earth mover has tires of radius 1.20 m and travels at the same 15.0 m/s as a car with 0.300 m tires. What is the earth mover's tire angular speed?
A4.50 rad/s
B12.5 rad/s
C18.0 rad/s
D50.0 rad/s
Answer & Solution
Correct answer: B. 12.5 rad/s
1. omega = v / r = 15.0 m/s / 1.20 m.
2. omega = 12.5 rad/s.
3. The larger tire needs a smaller angular speed to keep the same linear speed as the smaller car tire.
_Source: OpenStax Physics (CC BY 4.0), Ch 6 "Circular and Rotational Motion", section 6.1 Angle of Rotation and Angular Velocity_
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