(a) Belt speed. (b) Ratio of belt tensions. (c) Tension in slack side of belt. (d) Tension in tight side of belt. (e) Length of belt for the drive. (f) Length of belt if the drive is changed to a crossed-belt drive. Answers: (a) \( 2,1 \mathrm{~m} / \mathrm{s} \); (b) \( \mathrm{T}_{1}=2,25 \mathrm{~T}_{2} \); (c) \( \mathrm{T}_{2}=11,428 \mathrm{kN} \); (d) \( \mathrm{T}_{1}= 25,713 \mathrm{kN} \); (e) \( 1,73 \mathrm{~m} \); (f) \( 1,759 \mathrm{~m} \).
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Did you know that belt drives have been used since the Industrial Revolution? These systems initially powered everything from mills to factories, and their efficiency helped spur the growth of industries around the world. Today, we continue to use belt drives in everything from bicycles to high-speed conveyor systems, proving that some concepts stand the test of time! When working with belt tension, a common mistake is neglecting to consider factors like friction and alignment. An improperly aligned belt can lead to uneven wear and unnecessary tension, which might cause slippage or system failure. To avoid these problems, regularly check the alignment and tension of your belts, and ensure they are suited to the load they will carry. Happy belt driving!