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A gear is mounted using a parallel key that is 15 mm wide and 10 mm high. The length of the gear hub is 38

A gear is mounted using a parallel key that is 15 mm wide and 10 mm high. The length of the gear hub is 38 mm. The shaft where the gear is mounted has a diameter of 50 mm. The gear transmits 20 kilowatts. The shaft is rotating at a speed of 120 rpm. Calculate the shear stress through the key. 

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