# Numerical - Diameter of pulley, given - slip, power & thickness

Q.  Two pulleys of an open belt drive A and B transmit power of 100 kW from pulley A running at 1000 r.p.m to pulley B at 500 r.p.m. If diameter of pulley A is 150 mm and 3% is the slip at operating conditions then what is the diameter of pulley B? (Assume thickness of belt = 12 mm)
- Published on 23 Sep 15

a. 300.22 mm
b. 326.28 mm
c. 302.28 mm
d. 317.13 mm

#### Discussion

• Sravanthi   -Posted on 05 Oct 15
• Slip is the difference between linear speeds of belt and pulley rim.

• During analysis of speed ratio D and N are the parameters used for driven pulley and d and n are parameters for driving pulley irrespective of the sizes of the pulleys.

Given: Power = 100 kW, speed of pulley A (N) = 1000 r.p.m, speed of pulley B (n) = 500 R.p.m, dA = 150 mm, slip (s) = 3 %

Formula: Speed ratio (i) = N/n = [(d+t) / (D+t)][1 - (s/100)]

Substituting the given values we get,

Diameter of pulley B = 302.28 mm

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