Question

Which one of the following statements is correct for the rotating shafts transmitting power?
1. Lower the frequency of shaft lower will be the torque
2. Higher the frequency of shaft lower will be the torque
3. Frequency of the shaft does not influence the torque
4. Higher the frequency of shaft higher will be the torque

Answer 1

Correct Answer - Option 2 : Higher the frequency of shaft lower will be the torque

Concept:

Angular velocity (ω) =  2πf; where f is the frequency 

The power transmitted by any solid shaft is given by,

\({\rm{P}} = {\rm{Torque\;}}\left( {\rm{{\rm T}}} \right) \times {\rm{Angular\;velocity\;}}({\rm{\omega }})\)

\({\rm{P}} = {\rm{T}} \times 2{\rm{\pi f}}\)

\(T=\frac{P}{2\pi f}\)

For a given Power (P); Torque is inversely proportional to frequency i.e. Higher the frequency of shaft, lower will be the torque.