Question

A rod of length 2 m is pivoted at one end A and freely rotated in
horizontal plane at an angular velocity of 6 rad s=1, about vertical axis
passing point A. Suddenly temperature of system is increased by 200°C.
The percentage change in its angular speed is nearly
(a = 3 x 10-4K-1)

18.6%
41%
12%
36%

Don't give irrelevant or wrong answers!!​

Answer 1

Answer:

As the temperature is increased there will be change in length of rod due to molecular expansion.

$initial \: rod \: length = l \\ final \: rod \: length = l(1 + \alpha (del \: t))$

where del t = change in temperature

REFER THE ATTACHMENT FOR SOLUTION...

as we take assumptions in binomial theorem and Kelvin temp. so the answer will differed by 1-2%

☆reasons for change in angular speed

• as the length increased of rod mass is also get distributed more far from the axis
• so its inertia will get increased as its directly proportional to length
• Hence to conserve the angular momentum the onega will decrease to counter the effect of inertia
• as angular momentum L=IW(w=omega)

Hey.! check your options..

i think the 1) option might be 28.6

bcz i m sure that...by solution answer coming is correct.

hope it helps!

Answer 2

12% RIGHT ANSWER OF THE FOLLOWING GIVEN QUESTION!!❤