alleryStart learning →A clock has a radius of 0.2 m. What is the approximate arc length between the hour hand and the minute hand when the clock shows 10:00 a.m.?
A0.1 m
B0.2 m
C0.3 m
D0.6 m
Answer & Solution
Correct answer: B. 0.2 m
1. At 10:00, the hour hand is at 300 degrees and the minute hand is at 0 degrees, 60 degrees apart.
2. Convert 60 degrees to radians: 60 x (pi/180) = pi/3 rad.
3. Arc length = r x angle = 0.2 m x (pi/3) = 0.21 m, which rounds to about 0.2 m.
_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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