A chain drive system has a driver sprocket with 24 teeth and a driven sprocket with 72 teeth. If the driver shaft has 633 ft-lbs torque, the torque on the driven shaft will be __________.

To determine the torque on the driven shaft in a chain drive system, it is essential to understand the relationship between the number of teeth on the sprockets and the torque applied.

In this scenario, the driver sprocket has 24 teeth and the driven sprocket has 72 teeth. The torque exerted by the driver sprocket is transferred to the driven sprocket, and the ratio of the number of teeth between the driver and driven sprockets plays a crucial role in calculating the torque on the driven side.

The torque ratio can be established by comparing the number of teeth on both sprockets. The relationship can be expressed as follows:

[

\text{Torque on Driven Shaft} = \text{Torque on Driver Shaft} \times \left(\frac{\text{Number of Teeth on Driven Sprocket}}{\text{Number of Teeth on Driver Sprocket}}\right)

]

Applying the values provided:

[

\text{Torque on Driven Shaft} = 633 , \text{ft-lbs} \times \left(\frac{72}{24}\right)

]

The ratio of the teeth is:

[

\frac{72}{24} = 3

]

Thus, the