Question

A gear with 200 teeth is being driven by a gear with ( x ) number of teeth. If the speed of rotation of the driven gear is 2000 rpm and the speed of rotation of the driver gear is 1600 rpm, determine ( x ).

A. ( x = 160 )
B. ( x = 240 )
C. ( x = 120 )
D. ( x = 200 )

Answer 1

The number of teeth on the driver gear is 240.

Step-by-step explanation:

To determine the number of teeth (x) on the driver gear, we can use the formula:

Speed of driven gear / Speed of driver gear = Number of teeth on driver gear / Number of teeth on driven gear

Plugging in the given values, we have:

2000 rpm / 1600 rpm = x / 200

Simplifying this equation, we find:

x = 240

Therefore, the number of teeth on the driver gear is 240. So, the correct option is (B) x = 240.