If r=1 m and θ= 1 degree then what is the value of S:
Correct answer: A. 0.01745 m
- A. 0.01745 m
- B. 1 m
- C. 2 m
- D. None
Explanation
To calculate the value of S, we can use the formula: S = r × θ Given that r = 1 m and θ = 1 degree, we substitute these values into the formula: S = 1 m ×(1 degree) Now, we need to convert degrees to radians since the trigonometric functions use radians. We know that 1 degree is equal to π/180 radians. Substituting this value: S = 1 m ×(π/180 radians) Simplifying: S = π/180 m ≈ 0.01745 m Therefore, the value of S is approximately 0.01745 m, which corresponds to option A.
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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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