alleryStart learning →A fly sits on the rim of a microwave plate of radius 0.15 m that turns at 6.0 rpm. What total distance does the fly travel in 2.0 min?
A75 m
B1.9 m
C12 m
D11 m
Answer & Solution
Correct answer: D. 11 m
1. Find the total angle first using theta = average omega times t.
2. Substituting, theta = (6.0 rpm)(2.0 min) = 12 rev.
3. Convert to radians, theta = (12 rev)(2 pi rad/rev) = 75.4 rad.
4. Then x = r theta = (0.15 m)(75.4 rad) = 11 m.
5. Answering 12 m would come from a rounding of the revolution count rather than the arc length.
6. This 11 m is total distance travelled, while the displacement over whole turns is zero.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.2 Kinematics of Rotational Motion_
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