alleryStart learning →Two clock hands separate an arc length of 1.0 m on a clock of radius 0.70 m. What angle of rotation, in degrees, separates them?
A40 degrees
B70 degrees
C81 degrees
D163 degrees
Answer & Solution
Correct answer: C. 81 degrees
1. delta theta = delta s / r = 1.0 m / 0.70 m = 1.43 rad.
2. Convert to degrees: 1.43 rad x (180/pi) degrees per rad.
3. 1.43 x 57.3 = 81.9 degrees, which rounds to about 81 degrees.
_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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