Two shafts A and B are made of the same material. The diameter of shaft B is thrice that of shaft A. What is the ratio of power which can be transmitted by A to power that can be transmitted by shaft B?

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Two shafts A and B are made of the same material. The diameter of shaft B is thrice that of shaft A. What is the ratio of power which can be transmitted by A to power that can be transmitted by shaft B?

A1/81

B1/3

C1/9

D1/27

Answer:

D. 1/27

Read Explanation:

The power transmitting capacity of a shaft is given by $P =\frac {2\pi NT}{60}$ The ratio of power transmitted by shaft A to shaft B is $(D_{A} / D_{B}) ^ 3$ As the power is proportional to the diameter cubed, the power transmitting capacity is proportional to the diameter cubed. Given $D_{B} = 3D_{A}$ the ratio of power transmitted by A to B is $1/27$

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