A torque i= 3t2 + 4t acts on a rotating solid
sphere, then what is the change in the angular
momentum of the sphere in the time interval
t= 0 to t= 4 s?
(1) 96 kg-m2 s-
(2) 64 kg-mas-1
(3) 32 kg-mas-1 (4) 28 kg-mas-1
Answers
Answered by
3
Answer:
torque=change in angular momentum / time
Explanation:
(3t^2+4t)dt=change in momentum
3t^3/3 +4t^2/2
t^3 + 2t^2
t=4
answer will be 96
Answered by
0
Given,
Torque i=3t²+4t
To Find,
Change in the angular momentum of the sphere.
Solution,
We know that,
torque=change in angular momentum / time
(3t²+4t)dt=change in momentum
Change in momentum=3t³/3 +4t²/2
=t³ + 2t²
Time interval t=0 to t=4s
Change in momentum=4³+2×4²
=64+32
=96kgms^-1
Hence, change in the angular momentum between the time interval is 96kgms^-1(Option 1).
Similar questions