Question

(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) \( 1,759 \mathrm{~m} \).

Ask by Ramos Hammond. in South Africa
Feb 03,2025

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Answer

Belt speed is 2.1 m/s. The ratio of belt tensions is \( T_1 = 2.25 \, T_2 \). Tension in the slack side is 11.428 kN, and in the tight side, it's 25.713 kN. The length of the belt for the drive is 1.73 meters. If the drive is changed to a crossed-belt drive, the belt length becomes 1.759 meters.

Solution

Hello! I see you've listed several parts of a problem along with your answers: **Problem Parts:** (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. **Your Answers:** - (a) \( 2.1 \, \text{m/s} \) - (b) \( T_1 = 2.25 \, T_2 \) - (c) \( T_2 = 11.428 \, \text{kN} \) - (d) \( T_1 = 25.713 \, \text{kN} \) - (e) \( 1.73 \, \text{m} \) - (f) \( 1.759 \, \text{m} \) To provide accurate feedback or verification of these answers, I would need the full details of the problem, including any given data such as pulley sizes, diameters, motor speed, forces involved, angles, or other relevant information. **Could you please provide the complete problem statement?** This will help me understand the context and ensure that the answers align correctly with the questions. Looking forward to assisting you further!

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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!

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