The angular displacement made by the minute hand of a watch after 5.0 minutes is:
Correct answer: A. 30 degrees
- A. 30 degrees
- B. 120 degrees
- C. 180 degrees
- D. 360 degrees
Explanation
In a full hour, the minute hand of a watch completes a 360-degree rotation, which is equivalent to 2π radians. Since there are 60 minutes in an hour, the minute hand moves at a rate of 6 degrees per minute (360 degrees / 60 minutes = 6 degrees per minute). Therefore, in 5 minutes, the minute hand moves 5 * 6 = 30 degrees.The correct answer is 30 degrees because this corresponds to the angular displacement of the minute hand over 5 minutes. The other options represent angular displacements for different time periods: 120 degrees for 20 minutes, 180 degrees for 30 minutes, and 360 degrees for a full hour.
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About Angular Displacement
Angular displacement measures the change in a body’s angular position and is expressed in radians or degrees, with anticlockwise and clockwise directions assigned signs. It connects to arc length, angular velocity and angular acceleration, and must be distinguished from ordinary linear displacement in rotational motion.
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