Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A circular platform is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity of <img alt="10 \mathrm{rad} / \mathrm{s}" src

A circular platform is rotating in horizontal plane, about an axis passing through its center and perpendicular to the plate, with an angular velocity of 10 \mathrm{rad} / \mathrm{s}. If by some mechanism, the moment of inertia of the system becomes four times of its initial value. Find the final Kinetic energy of the system, if initial Kinetic energy was 100 Joule.

Option: 1

75 Joule


Option: 2

100 Joule


Option: 3

50 Joule


Option: 4

25 Joule


Answers (1)

best_answer

using conservation of angular momentum

\begin{aligned} & I_1 \omega_1=I_2 \omega_2 \\ & \omega_2=\left(\frac{I_1}{I_2}\right) \omega_1=\frac{\omega_1}{4}=2.5 \mathrm{rad} / \mathrm{s} \\ & K_i =\frac{1}{2} I_1 \omega_1^2, \quad K_f=\frac{1}{2} I_2 \omega_2^2 \\ & \frac{K_i }{K_f}=\left(\frac{I_1}{I_2}\right)\left(\frac{\omega_1}{\omega_2}\right)^2=\left(\frac{1}{4}\right)(4)^2=(4) \\ & K_f=\frac{K_i}{4}=\frac{100}{4}=25 Joule\mathrm{} \end{aligned}

Posted by

manish

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

'PM Modi personally supervising the situation': Centre tells SC in NEET case
anam-khan

NEET Paper Leak Row: NTA informs SC of security overhaul, institutional reforms
anam-khan

Re-NEET 2026 City Intimation Slip LIVE: NTA MBBS admit card soon; direct link, login details, exam date

Latest Question