A GEAR WITH 60 TEETH ROTATES 30 TIMES WHILE GEAR B ROTATES 20 TIMES, HOW MANY TEETH DOES GEAR B HAVE
in the gear system ... teeth * rotation speed = constant
To find the number of teeth on Gear B, we can set up a ratio using the information provided.
The ratio between the number of teeth on Gear A and the number of rotations it makes is the same as the ratio between the number of teeth on Gear B and the number of rotations it makes.
Let's denote the number of teeth on Gear B as 'x'.
The ratio can be set up as follows:
60 (number of teeth on Gear A) / 30 (number of rotations of Gear A) = x (number of teeth on Gear B) / 20 (number of rotations of Gear B)
To solve for x, we can cross-multiply and then divide:
60 x 20 = 30 x
1200 = 30x
Dividing both sides by 30, we get:
x = 1200 / 30 = 40
Therefore, Gear B has 40 teeth.