A wheel whose moment of inertia is 24kgm2 starts from rest. Net torque acting on wheel τ varies with respect to time as shown in the graph. Find the work done by torque in the first 6 seconds.
A
6.75 J
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
3.75 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4.25 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9.75 J
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 6.75 J K.E=L22I
Area bounded by τ−t= change in L 12×12×4−12×6×2=Lf−Li 24−6=L−0 L=18 K.E=L22×I=18×182×24=274=6.75
Work done ΔK.E=K.Ef−KFi=6.75−0=6.75J