It is the ratio between the velocities of the driver and the follower or driven. It may be expressed, mathematically, as discussed below:

Let *d*1 = Diameter of the driver, *d*2 = Diameter of the follower,

*N*1 = Speed of the driver in r.p.m., and* N*2 = Speed of the follower in r.p.m.

Length of the belt that passes over the driver, in one minute = π *d*1*N*1

Similarly, length of the belt that passes over the follower, in one minute = π *d*2 *N*2

Since the length of belt that passes over the driver in one minute is equal to the length of belt that passes over the follower in one minute, therefore

π *d*1 *N*1 = π *d*2 *N*2

When the thickness of the belt (*t*) is considered, then velocity ratio,

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