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Mechanical Engineering · Q259

Machine Design

Engineering and GATE · Mechanical Engineering · question 259

Q259

When the speed of belt increases,

A.
The coefficient of friction between the belt and pulley decreases
B.
The coefficient of friction between the belt and pulley increases
C.
The power transmitted will decrease
D.
The power transmitted will increase
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
When the speed of the belt increases

The power transmitted by a belt drive is directly proportional to the product of the belt tension and the belt speed

Power (P) = (T₁ - T₂) × v, where T₁ is the tension in the tight side, T₂ is the tension in the slack side, and v is the belt speed

As the belt speed increases, assuming the tensions remain constant, the power transmitted also increases

However, there's a practical limit to this, because at very high speeds, centrifugal force increases and reduces the effective friction and tension difference

But initially, with an increase in speed, the power transmitted increases