A wheel rotating at 50 rad/s decelerates uniformly to rest in 10 s. Total angular displacement:
A500 rad
B250 rad
C1000 rad
D100 rad
Answer & Solution
Correct answer: B. 250 rad
Using omega² = omega0² + 2 alpha theta or theta = (omega0 + omega)/2 × t = (50 + 0)/2 × 10 = 250 rad. The average angular velocity is 25 rad/s for 10 s, giving 250 rad.
Related questions
A bicycle wheel of radius $R$ rolls without slipping at linear speed $v$. The angular speeAn ice skater spinning with arms outstretched at $\omega_1$ pulls arms in, halving her momA solid disc of mass $M$, radius $R$, rotating about its centre axis has moment of inertiaA child pushes a door of width $0.8$ m perpendicular to the door at the handle with $20$ NMoment of inertia of an annular disc (inner radius r1, outer r2) about perpendicular axis For a solid cylinder rolling without slipping, the friction force at the contact point:A merry-go-round (I = 1000 kg m²) rotates at 0.5 rad/s. A 50 kg child runs and jumps onto A solid cylinder (I = MR²/2) of mass 2 kg, radius 0.1 m, rolls without slipping at 6 m/s.