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Rotational Motion formula sheet

Every formula in the Rotational Motion chapter for JEE Main, with one line on when it applies. Topic 1 is open to everyone; sign in free to read all 40 and download the PDF.

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How we count: 7× asked means 7 past JEE Main questions in the PrepWiser bank needed that formula, and "last" is the latest year one appeared. ★ marks formulas asked 8 or more times.

Rotational kinematics and torque

Rotational kinematics
10× asked, last 2026
ω=ω0+αt,θ=ω0t+12αt2,ω2=ω02+2αθ\omega=\omega_0+\alpha t,\qquad \theta=\omega_0t+\tfrac12\alpha t^2,\qquad \omega^2=\omega_0^2+2\alpha\theta
Constant α\alpha. v=ωrv=\omega r, at=αra_t=\alpha r. 1 rpm =2π/60=2\pi/60 rad/s; turns =θ/2π=\theta/2\pi.
Torque about a point
8× asked, last 2026
τ⃗=r⃗×F⃗,∣τ⃗∣=rFsin⁡θ=F r⊥\vec\tau=\vec r\times\vec F,\qquad |\vec\tau|=rF\sin\theta=F\,r_\perp
r⃗\vec r from the point to where F⃗\vec F acts. In the plane: τz=xFy−yFx\tau_z=xF_y-yF_x.
Couple
τ=Fd\tau=Fd
Equal, opposite, parallel forces dd apart: zero net force, same torque about every point.

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37 more formulas in 6 topics

Moment of inertia, Parallel and perpendicular axis theorems, Rotational dynamics and energy, Angular momentum and its conservation, Rolling motion and Equilibrium of rigid bodies. Read the first part free. Sign in free with Google to read the rest and download the PDF.

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Moment of inertia

  • Moment of inertia; radius of gyration17×
  • Rod, ring, disc17×
  • Annular disc; tilted rod
  • Spheres and cylinders20×
  • Cylinder across its axis, plate, cone7×
  • Same material, different size8×

Parallel and perpendicular axis theorems

  • Parallel axis theorem9×
  • Perpendicular axis theorem7×
  • Tangent and rim axes6×
  • Composite bodies14×
  • Removed portion5×

Rotational dynamics and energy

  • Linear ↔ rotational
  • Torque and angular acceleration12×
  • Pulley with mass5×
  • Block falling off a wheel (energy)6×
  • Rotational KE, work, power7×
  • Rod hinged at one end, released5×

Angular momentum and its conservation

  • Angular momentum of a particle7×
  • Projectile about the launch point3×
  • Rigid body6×
  • Conservation of angular momentum8×
  • Two discs coupled7×
  • Particle striking a pivoted rod4×
  • Angular impulse4×

Rolling motion

  • Rolling without slipping3×
  • Kinetic energy of rolling11×
  • Values of k2/R2k^2/R^2
  • Rolling down an incline16×
  • Least friction for pure rolling
  • String unwinding (yo-yo)1×
  • Rolling up a slope5×
  • Force applied to a rolling body2×
  • Rolling with slipping2×

Equilibrium of rigid bodies

  • Conditions of equilibrium5×
  • Ladder against a smooth wall1×
  • Cylinder over a step1×
  • Block on an incline: tip or slide

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