Using a maximum allowable shear stress of 70 MPa, find the shaft diameter needed to transmit 40 kW when (a) The shaft speed is 2500 rev/min. (b) The shaft speed is 250 rev/min

a

b

Explanation:

From the question we are told that

   The maximum allowable shear stress is  

    The power is  

considering question a

   The shaft speed is given as

Generally the torque experienced by the shaft is mathematically represented as

=>    

=>    

Generally the maximum torque experienced by the shaft is mathematically represented as

Generally diameter  =  2 *  radius (r)

So

Generally the maximum allowable shear stress is mathematically represented as

=>            

=>            

=>          

=>          

considering question b

   The shaft speed is given as

Generally the torque experienced by the shaft is mathematically represented as

=>    

Generally the shaft diameter is mathematically represented as

=>  

=>  

are there options? cause you ain’t. real specific