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The width of belt is 15 cm and maximum tension per cm width is not to exceed 12 kg. T1/T2=2.25. Diameter of driver=1m and it makes 220 rpm. Find the horse power that can be transmitted.

The width of belt is 15 cm and maximum tension per cm width is not to exceed 12 kg. T1/T2=2.25. Diameter of driver=1m and it makes 220 rpm. Find the horse power that can be transmitted.
a) 11.35 HP
b) 10.23 HP
c) 12.12 HP
d) 9.86 HP

Answer: b
Explanation: Maximum tension = 12 * 15 = 180kg
We know that
T = T1 + TC = 180
And, Tc = T/3
Tc = 180/3 = 60 kg
T1 = T-Tc = 180 – 60 = 120kg
T2 = T1/2.5 = 120/2.25 = 53.33 kg
P = (T1-T2) v = (T1 – T2) * 2π Nr
P = (120 – 53.33) * 2\pi * \(\frac{220}{75*60}*\frac{1}{2} \)
P = 10.23 HP.

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