Question

A theme ride vehicle is moving uphill at a constant speed. The slope of the hill is 10○. The mass of the vehicle plus the riders is 2000 kg. The vehicle is powered by a WLIM (Wheeled Linear Induction Motor). The pole pitch of the motor is 0.5m. The friction coefficient of the surface is 0.01. The primary circuit resistance R1 is 0.5 Ω, and the secondary resistance referred to the primary circuit R2’ is 1.0 Ω. The equivalent inductance of the secondary circuits is 0.01H. The line-to-line voltage of the primary windings of the motor is 480V, and its frequency is 15 Hz. Assume that the drag force is 500N. Compute the speed of the vehicle.

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