An object is moving along a circular path of radius 4m. What will be its displacement if it moves 14m on this circular path?
Correct answer: C. 3.5 radians
- A. 5.5 radians
- B. 5.0 radians
- C. 3.5 radians
- D. 4.5 radians
Explanation
The following is the solution:Given that the radius of the circular path is 4m, and the object moves 14m on this path, we can calculate the angle (in radians) subtended by this arc. The formula to calculate the angle (θ) in radians is: θ = arc length/radius Plugging in the values, we have: θ = 14m / 4m θ ≈ 3.5 radians Therefore, the displacement of the object along this circular path would be approximately 3.5 radians.
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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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