A wheel is at rest. Its angular velocity increases uniformly and becomes 60rad/sec after 5 sec. The total angular displacement is
Correct answer: D. 150rad
- A. 600rad
- B. 300rad
- C. 75rad
- D. 150rad
Explanation
The correct answer is Option D: 150rad.Initial angular speed, ω0 =0 rad/sFinal angular speed, ω=60 rad/sTime taken, t=5sFrom kinematics:ω−ω0 =αt60=α×5α= 60/5 =12 rad/s2where α is angular acceleration.Also, θ=ω0t+1/2αt2 θ=0+1/2×12×25θ=150 radThe other options are incorrect as they do not correctly apply the kinematic equations or consider the provided data accurately, leading to incorrect results.
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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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