CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A rigid spherical body is spinning around an axis without any external torque. Due to temperature its volume increases by 3%. Then percentage change in its angular speed is
  1. 2%
  2. 3%
  3. 1%
  4. 1%


Solution

The correct option is A 2%
The moment of inertia of a solid sphere,  I=25mR2
or  IR2

We know that volume =43πR3
i.e.,  VR3
or   ΔVV×100=3ΔRR×100
Percentage increase in volume is 3%
Percentage increase in radius will be 1%.

Percentage increase in moment of inertia will be 2%.    As, IR2

Now, since angular momentum L=Iω will remain conserved. Hence, the angular velocity ω will decrease by 2% to keep the angular momentum constant.

Hence option A is the correct answer

flag
 Suggest corrections
thumbs-up
 
1 Upvotes


Similar questions
View More


People also searched for
View More



footer-image