A water bottle is rotating with an angular velocity of 5 radians/sec, which is the resultant of two velocities along x and y axis. then,
A
The X-component of angular velocity is 5cosθ, θ is the angle between the resultant angular velocity and X axis
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B
The X-component of angular velocity is 5sinθ , θ is the angle between the resultant angular velocity and X axis
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C
The Y-component of angular velocity is 5cosθ , θ is the angle between the resultant angular velocity and Y axis
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D
The X-component of angular velocity is 5tanθ , θ is the angle between the resultant angular velocity and X axis
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Solution
The correct options are A The X-component of angular velocity is 5cosθ, θ is the angle between the resultant angular velocity and X axis C The Y-component of angular velocity is 5cosθ , θ is the angle between the resultant angular velocity and Y axis The resultant angular velocity 5 radians/sec can be resolved in to two parts along X and Y axis. If θ is the angle made by the resultant vector, then the X-component of angular velocity is 5cosθ AND Y-component of angular velocity is 5sinθ