A body moves on a circular path subtending an angle of 2 radians at the center of a circle of radius 3.5 meters. The linear displacement of the body is _.
Correct answer: B. 7 m
- A. 6.5 m
- B. 7 m
- C. 7.5 m
- D. 1.75 m
Explanation
The linear displacement of a body moving along a circular path can be determined using the formula:Linear Displacement = 2 × Radius × sin(θ/2)Here, the radius (r) is 3.5 meters, and the angle (θ) is 2 radians. Plugging in the values, we apply:Linear Displacement = 2 × 3.5 × sin(2/2) = 2 × 3.5 × sin(1) ≈ 7 metersTherefore, the correct linear displacement of the body is 7 meters. All other options (6.5 m, 5.8 m, 7.5 m, and 1.75 m) do not match the computed value from the provided formula and parameters.
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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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