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A railway tank wagon with its 2m diamete...

A railway tank wagon with its 2m diameter and 6m long horizontal cylindrical body, half full of petrol is driven around a curve of radius 100m, at a speed of `8.33 m//s`. The curve runs smoothly into a straight track and the train maintains a constant speed. Find the angular amplitude and frequency of subsequent oscillation of the petrol due to this change of motion. Neglect viscosity and consider petrol as a solid semi cylinder sliding inside the tank. Given: `tan^(-1) (0.07) =4^(@)`

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The correct Answer is:
Amplitude `=tan^(-1) (0.07)=4^(@);` frequency =0.46Hz.
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