Question

For helted Pulley, the speed of the pulley very inversly as their radio. If a pulley with a radioof 4 inches turning at 1452 resolutions per minute is helted to a pulley with a radiousof 6 inches what will be the speed of a largee pulley?

pls help meee​

Answer 1

Answer: The speed of the larger pulley is 242 rpm.

Step-by-step explanation: We can use the fact that for a belt and pulley system, the linear velocity of the belt is constant. This means that the product of the radius and the angular velocity of each pulley must be the same.

Let's call the angular velocity of the 4-inch pulley "w". Then we have:

4w = 1452

Solving for w, we get:

w = 1452/4 = 363 revolutions per minute (rpm)

Now let's use the fact that the product of the radius and angular velocity is constant to find the angular velocity of the larger pulley. We have:

4w = 6x

where "x" is the angular velocity of the larger pulley. Solving for "x", we get:

x = (4/6)w = (2/3)w

Substituting the value of "w" that we found earlier, we get:

x = (2/3)363 = 242 revolutions per minute (rpm)

Therefore, the speed of the larger pulley is 242 rpm.