What is the rpm at sprocket G if a 20-tooth sprocket turns at 10 rpm?

What is the rpm at sprocket G if a 20-tooth sprocket turns at 10 rpm?

• A. 5 rpm
• B. 10 rpm
• C. 15 rpm
• D. 20 rpm

Answer: (D)

To determine the rpm at sprocket G when a 20-tooth sprocket turns at 10 rpm, it's important to understand the relationship between sprocket sizes and their rotational speeds. The rpm of a sprocket is inversely proportional to the number of teeth on that sprocket when connected in a chain drive system. Given that the 20-tooth sprocket is rotating at 10 rpm, if sprocket G has fewer teeth than the 20-tooth sprocket, it will rotate faster. The formula used to relate the number of teeth and the speed of each sprocket is: \[ \text{Speed of Sprocket 1} \times \text{Number of Teeth on Sprocket 1} = \text{Speed of Sprocket 2} \times \text{Number of Teeth on Sprocket 2} \] In this scenario, if the teeth count on sprocket G is 10, for example, we can deduce the following: \[ 10 \, \text{rpm} \times 20 \, \text{teeth} = \text{Speed of Sprocket G} \times 10 \, \text{teeth} \] This results

To determine the rpm at sprocket G when a 20-tooth sprocket turns at 10 rpm, it's important to understand the relationship between sprocket sizes and their rotational speeds. The rpm of a sprocket is inversely proportional to the number of teeth on that sprocket when connected in a chain drive system.

Given that the 20-tooth sprocket is rotating at 10 rpm, if sprocket G has fewer teeth than the 20-tooth sprocket, it will rotate faster. The formula used to relate the number of teeth and the speed of each sprocket is:

[ \text{Speed of Sprocket 1} \times \text{Number of Teeth on Sprocket 1} = \text{Speed of Sprocket 2} \times \text{Number of Teeth on Sprocket 2} ]

In this scenario, if the teeth count on sprocket G is 10, for example, we can deduce the following:

[ 10 , \text{rpm} \times 20 , \text{teeth} = \text{Speed of Sprocket G} \times 10 , \text{teeth} ]

This results