EASYUPES B.Tech Admissions 2025
ApplyRanked #42 among Engineering colleges in India by NIRF | Highest Package 1.3 CR , 100% Placements | Last Date to Apply: 28th April
Work, Energy And Power For Rotating Body - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
-
16 Questions around this concept.
Solve by difficulty
If 'I' is the moment of inertia of a body and 'w' is its angular velocity, the rotational kinetic energy of the body is
A body of M.I. 3 kg $m^2$ rotating with an angular velocity 2 rad/s has the same K.E. as a mass of 12 kg moving with a velocity of
A thin hollow sphere of mass m is completely filled with an ideal liquid of mass m. When the sphere rolls with a velocity v kinetic energy of the system is equal to
JEE Main 2025: Session 2 Result Out; Direct Link
JEE Main 2025: College Predictor | Marks vs Percentile vs Rank
New: JEE Seat Matrix- IITs, NITs, IIITs and GFTI | NITs Cutoff
Latest: Meet B.Tech expert in your city to shortlist colleges
A wheel of mass 2 kg having practically all the mass concentrated along the circumference of a circle of radius 20 cm, is rotating on its axis with an angular velocity of 100 rad/s. The rotational kinetic energy of the wheel is
Concepts Covered - 1
Work, Energy and Power for Rotating Body
-
Work-
For translation motion
$
W=\int F d s
$
So for rotational motion
$
W=\int \tau d \theta
$
-
Rotational kinetic energy-
The energy of a body has by virtue of its rotational motion is called its rotational kinetic energy.
|
Rotational kinetic energy |
Translatory kinetic energy |
|
|
1 |
|
|
|
2 |
|
|
|
3 |
|
|
-
Power =Rate of change of kinetic energy
For translation motion $P=\vec{F} \cdot \vec{V}$
So for rotational motion
$
P=\frac{d\left(K_R\right)}{d t}=\frac{d\left(\frac{1}{2} I \omega^2\right)}{d t}=I \omega \frac{d \omega}{d t}=I \alpha \omega=\tau \cdot \omega
$
Or $P=\vec{\tau} \cdot \vec{\omega}$
Study it with Videos
Work, Energy and Power for Rotating Body"Stay in the loop. Receive exam news, study resources, and expert advice!"
Get Answer to all your questions
JEE Main Articles
Apr 22, 2025
Back to top