Home › Maharashtra HSC Class 12 (Science) › physics › Rotational Dynamics › The relation between linear velocity v, angular …
The relation between linear velocity v, angular velocity ω and radius r in circular motion is
Av = ω/r
Bv = ω²r
Cv = ωr
Dv = ωr²
Answer & Solution
Correct answer: C. v = ωr
1. For a particle moving on a circle of radius r with angular velocity ω, the arc length per unit time equals v.
2. Arc length ds = r dθ, so v = ds/dt = r(dθ/dt) = ωr.
3. Hence v = ωr.
_Source: Maharashtra Balbharati Std XII Physics, Ch 1 "Rotational Dynamics" §1.2.1_
Related questions
A solid sphere and a hollow sphere of equal mass and radius roll without slipping with theA wheel of moment of inertia 2 kg·m² is accelerated from rest to 60 rad/s in 10 s. The torMoment of inertia of a thin uniform rod of mass M and length L about an axis through its cA 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