Question

The fan pulley and alternator pulley are connected by a fan belt on an automobile engine. The fan pulley is 200cm in diameter, and the alternator pulley is 175cm in diameter. If the fan pulley turns at 300 rpm, how many revolutions per minute does the faster alternator pulley turn?

a) 240 rpm
b) 260 rpm
c) 320 rpm
d) 350 rpm

Answer 1

The faster alternator pulley turns at approximately 343 rpm.

Step-by-step explanation:

The fan pulley and alternator pulley are connected by a fan belt on an automobile engine. The fan pulley has a diameter of 200cm and turns at 300 rpm. The alternator pulley has a diameter of 175cm. To find the speed at which the alternator pulley turns, we can use the equation:

Speed 1 * Diameter 1 = Speed 2 * Diameter 2

Substituting the given values:

300 rpm * 200cm = Speed 2 * 175cm

Solving for Speed 2:

Speed 2 = (300 rpm * 200cm) / 175cm = 342.86 rpm

Therefore, the faster alternator pulley turns at approximately 343 rpm.