Home › Maharashtra HSC Class 12 (Science) › physics › Rotational Dynamics › A wheel of moment of inertia 2 kg·m² is accelera…
A wheel of moment of inertia 2 kg·m² is accelerated from rest to 60 rad/s in 10 s. The torque applied is
A12 N·m
B60 N·m
C6 N·m
D30 N·m
Answer & Solution
Correct answer: A. 12 N·m
1. Angular acceleration α = Δω/Δt = 60/10 = 6 rad/s².
2. Torque τ = Iα.
3. τ = 2 × 6 = 12 N·m.
_Source: Maharashtra Balbharati Std XII Physics, Ch 1 "Rotational Dynamics" §1.7_
Related questions
A solid sphere and a hollow sphere of equal mass and radius roll without slipping with theMoment of inertia of a thin uniform rod of mass M and length L about an axis through its cThe relation between linear velocity v, angular velocity ω and radius r in circular motionA car of mass 800 kg takes a turn of radius 40 m at 20 m/s on a level road. The minimum coCentrifugal force in a rotating frame is best described as aCentripetal force on a particle of mass m moving with speed v on a circle of radius r isA fan rotating at 90 rpm stops in 21 rotations under constant frictional torque. The time The direction of angular velocity vector of a rotating body is along the