Which one of the following statements relating to belt drives is corre...
Statement: The length of the crossed belt increases as the sum of the diameters of the pulleys increases.
Explanation:
Belt Drives:
Belt drives are a type of power transmission mechanism used to transmit power from one shaft to another. They consist of a belt that is wrapped around two pulleys. The power is transferred through the tension in the belt, which causes friction between the belt and the pulleys.
Length of the Crossed Belt:
The length of the crossed belt refers to the total length of the belt that is in contact with the pulleys. It is important to know the length of the crossed belt in order to properly design and select a belt for a specific application.
Relation with the Sum of Diameters:
The length of the crossed belt is directly related to the sum of the diameters of the pulleys. As the sum of the diameters increases, the length of the crossed belt also increases.
Reasoning:
When a belt is wrapped around two pulleys, the length of the belt is determined by the distance it travels along the circumference of the pulleys. The distance traveled by the belt is directly proportional to the sum of the diameters of the pulleys.
To visualize this, imagine two pulleys of different sizes. If the belt is wrapped around the smaller pulley, it will travel a shorter distance compared to if it is wrapped around the larger pulley. Therefore, the length of the crossed belt increases as the sum of the diameters of the pulleys increases.
Example:
Let's consider an example to further illustrate this concept. Suppose we have two pulleys with diameters of 10 cm and 20 cm. The sum of the diameters is 30 cm. If we wrap a belt around these pulleys, the length of the crossed belt will be greater compared to if we had two pulleys with diameters of 5 cm and 10 cm, where the sum of the diameters is 15 cm.
Conclusion:
In conclusion, the statement "The length of the crossed belt increases as the sum of the diameters of the pulleys increases" is correct. The length of the crossed belt is directly proportional to the sum of the diameters of the pulleys in a belt drive system.
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