A circular turntable rotates with a constant angular velocity Omega_1 = 3.20 rad

Question

A circular turntable rotates with a constant angular velocity Omega_1 = 3.20 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

speed of the turn table at that point = d = 3.2*2 = 6.4 m/s in direction (-i+j)/2

its real speed is 3m/s in (i+j)/2 direction

so net velocity = {(3-6.4)/2 } i + {(3+6.4)/2 } j +0 k m/s = 2.4041 i + 6.6467 j +0k m/s

2.404,6.648,0 is the answer

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