With a sprocket ratio of 2:1 and a driver speed of 1750 rpm, the driven shaft speed will be ______ rpm.

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Study for the PMMI Mechanical Drives Test with engaging multiple choice questions and detailed explanations. Enhance your knowledge on mechanical drives and get ready for your exam!

Multiple Choice

With a sprocket ratio of 2:1 and a driver speed of 1750 rpm, the driven shaft speed will be ______ rpm.

Explanation:
In sprocket drives, the belt or chain speed is the same on both sprockets, so the rpm and sprocket sizes are inversely related: N1 × D1 = N2 × D2. A ratio of 2:1 in this context means the driven sprocket has twice as many teeth as the driver, so D2 = 2 × D1. Therefore N2 = N1 × (D1 / D2) = 1750 × (1/2) = 875 rpm. The driven shaft turns at half the driver speed, so 875 rpm is correct.

In sprocket drives, the belt or chain speed is the same on both sprockets, so the rpm and sprocket sizes are inversely related: N1 × D1 = N2 × D2. A ratio of 2:1 in this context means the driven sprocket has twice as many teeth as the driver, so D2 = 2 × D1. Therefore N2 = N1 × (D1 / D2) = 1750 × (1/2) = 875 rpm. The driven shaft turns at half the driver speed, so 875 rpm is correct.

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