A solid shaft is transmitting 2 MW at 270 r.p.m. Determine the diameter of the shaft. Take the maximum allowable shear stress as 72 MPa.

-

Question: A solid shaft is transmitting 2 MW at 270 r.p.m. Determine the diameter of the shaft. Take the maximum allowable shear stress as 72 MPa.

Answer:

Given data:

Power transmitted by the shaft (P) = 2 MW, 

Speed of the shaft (N) = 270 rpm,

The maximum allowable shear stress

 = 72 MPa.
To calculate mean torque.


Substitute 2 MW for P and 270 rpm for N  in the above equation.


Write the equation of the shear stress.
Here, d  is the diameter of the shaft.

Rearrange the above equation.

Substitute 70735.530 N-m for  , 72 MPa for  in the above equation.


Thus, the diameter of the shaft is 171.038 mm.




























Comments

Post a Comment

Popular posts from this blog

Differences between Ideal and Real Fluids

-
  Fluids are substances that flow and take the shape of their container. In physics, fluids can be idealized as either ideal or real. The difference between these two types of fluids lies in their behavior and properties. Ideal Fluids Ideal fluids are theoretical fluids that possess perfect fluidity. They are characterized by the following properties: Inviscid: Ideal fluids have zero viscosity and do not experience friction. Incompressible: Ideal fluids have a constant density and do not change volume under pressure. Continuity: Ideal fluids follow the principle of continuity, which states that the volume flow rate remains constant at all points in a pipe or channel. Real Fluids Real fluids, on the other hand, are actual fluids that exist in the real world. They have properties that differ from ideal fluids and include: Viscosity: Real fluids have viscosity and experience friction when they flow. Compressibility: Real fluids have varying densities and change volume under pressure. ...
Read more

A container, in the shape of a rectangle prism with dimensions l,w and h, is filled with an ideal gas and sealed. The average force exerted by the gas molecules on the bottom of the container is F. There are n moles of gas in the container and the temperature of the gas is T. What is h, the height of the container?

-
Image
Question: A container, in the shape of a rectangle prism with dimensions  , and , is filled with an ideal gas and sealed. The average force exerted by the gas molecules on the bottom of the container is . There are moles of gas in the container and the temperature of the gas is . What is , the height of the container? Answer: Here, the volume of the gas is equal to the volume of the container. So write the equation of the volume of the gas.   ......(1) Write the equation of the area of the bottom of the container.  ......(2) The ideal gas law equation is, Here, is the pressure of the ideal gas, is the volume of the ideal gas, is the number of the moles of the ideal gas, is the universal gas constant and is the temperature of the ideal gas. According to definition of the pressure, write the equation of the pressure in terms of and .  ......(3) From the above equation (1), (2), (3) and the ideal gas law equation.
Read more

A car accelerates uniformly at a rate of 10m/s² from an initial velocity of 36km/hr for 30s. What is the covered distance during this period?

-
Image
Question: A car accelerates uniformly at a rate of 10m/s² from an initial velocity of 36km/hr for 30s. What is the covered distance during this period? Answer: Given data: Acceleration of the car (a) = 10 m/s², Initial velocity of the car (u) = 36 km/h Time of travelling (t) = 30 s Step-1 To covert velocity in m/s from km/h. As we know that 1 km/h = 1000/3600 m/s Therefore, Step-2 To determine distance travelled by the car within t = 30 s. According to the equation of the constant acceleration motion. Distance travelled by the car can be written as,   Thus, the car will travel through 4800 m within 30 seconds.
Read more