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The figure shows the angular velocity ve...

The figure shows the angular velocity versus time graph of a flywheel. The angle, in radians through which the flywheel turns during 25 s is

A

120

B

480

C

600

D

750

Text Solution

Verified by Experts

The correct Answer is:
C
Angular rotated, `theta=` area under `omega-t` graph
area under `omega-t` graph = area of trapezium OABCO.
`because` of (OABCO) `= (1)/(2)` (Sum of parallel sides) `xx` distance between them

`=(1)/(2)(AB+OC)xxAD=(1)/(2)(15+25)xx30=600`.
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