I did this earlier for a senior but believed I got it wrong based on that I fixed it to this : 62.5 was the percentage so 6250% so 18x 62.5 1125 HEY that’s reasonable please keep in mind I’m in middle school and you should double check this
From conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
The conservation of angular velocity states that the angular velocity for a conjugate system will be always equal to the angular velocity of a part of the same system.
Mathematically -
r1ω1 = r2ω2 = r3ω3 = ................. = rnωn
where r is the radius of the circular belts, ω is the angular velocity and n is the total number of segments in the conjugate system.
Given that a pair of belted pulleys have diameters of 18 in. and 12 in. Also given that the smaller pulley turns at 750 rpm.
The radius of the pulleys are 9 in. and 6 in. respectively.
Let x rpm be the speed of the larger pulley turn.
From conservation of angular velocity, we have
⇒ 6 * 750 = 9 * x
⇒ x = (6 * 750)/9
∴ x = 500 rpm
Therefore, from conservation of angular velocity the larger pulley will rotate at a speed of 500 rpm.
To learn more about conservation of angular velocity, refer -
https://brainly.com/question/14781359
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