Speeds of pulleys are inversely proportional to the length of their diameter. Diameter of pulley A is 20 cm. and diameter of pulley B is 10 cm. If B turns at 348 ​rpm, how fast does pulley A​ turn?

Respuesta :

Answer:

174 rpm

Step-by-step explanation:

The question says that the speed is inversely proportional to the length. Thus, Inverse means, as the diameter increases, the speed reduces, or as the diameter reduces, the speed increases.

Thus, from the question, if diameter A is 20, and B is 10, then definitely, the speed will increase from 348 to a higher rate. Mathematically, we have

20 / 10 = 348 / x, where x is the missing speed.

2 = 348 / x

x = 348 / 2

x = 174 rpm

Therefore, the pulley A must have been running at a speed of 174 rpm