2pir subtends an angle of
Correct answer: D. 2*pi radians
- A. 1 radian
- B. 2 radians
- C. 4 radians
- D. 2*pi radians
Explanation
The formula for calculating the angle subtended by an arc in radians is given by θ=s/r , where s is the length of the arc and r is the radius. In this case, the length of the arc is 2πr and the radius is r. So, θ=2πr/r =2π 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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