A circular turntable rotates with a constant angular velocity Ohm = 2.90 radians

Question

A circular turntable rotates with a constant angular velocity Ohm = 2.90 radians/s about an axis passing through center O that is perpendicular to the x-y plane. An insect at B moves toward the periphery in the slot as shown with a constant velocity of 3.00 m/s with respect to the rotating turntable. The insect is 2.00 m away from O. Find the i, j and k components of the absolute velocity v_B of insect B. Express your answers numerically in meters per second to three significant figures separated by commas.

Explanation / Answer

given that v = 3m/sec

omega = 2.9 rad/sec

VBx= V*cos(45) = 3*cos(45) = 2.12 m/sec

VBy = V*sin(45) = 3*sin(45) = 2.12 m/sec

VBz = R*omega = 2*2.9 = 5.8 m/sec

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