Concept of centrifugal tension, Mechanical Engineering

Assignment Help:

Concept of centrifugal tension:

Explain concept of centrifugal tension in any belt drive. What is main consideration for taking maximum tension?

Sol: The belt continuously runs over both the pulleys. In tight side and slack side of belt tension is increased because of presence of centrifugal Tension in belt. At lower speeds centrifugal tension can be ignored but at the higher speed its effect is considered.

The tension caused in the running belt by the centrifugal force is known as centrifugal tension. Whenever particle of mass 'm' is rotated in circular path of radius 'r' at uniform velocity 'v', a centrifugal force is acting outward radially and its magnitude is equal to mv2/r

i.e.,        Fc = mv2/r

The centrifugal tension in belt can be computed by considering forces acting on an elemental length of the belt(that is length MN) subtending an angle dq at the center as shown in the given figure

Let

v = Velocity of belt in m/s

r = Radius of pulley over which belt run. M = Mass of elemental length of belt.

m = Mass of belt per meter length

T1 = Tight side tension

Tc = Centrifugal tension acting at points M and N tangentially

Fc = Centrifugal force acting radially outwards

The centrifugal force R which is acting radially outwards is balanced by components of Tc acting radially inwards. The elemental length of belt is

MN = r. δθ

Mass of belt MN = Mass per meter length X Length of MN M = m X r X δθ

Centrifugal force = Fc  = M X v2/r = m.r.δθ.v2/r

Now by resolving force horizontally, we get

Tc.sinδθ/2  + Tc.sinδθ/2 = Fc

Or       2Tc.sinδθ/2 = m.r.δθ.v2/r

At the angle δθ is very small, thus = sinδθ/2 = δθ/2

Then above equation becomes as

2Tc.δθ/2 = m.r.δθ.v2/r or  

Tc= m.v2


Related Discussions:- Concept of centrifugal tension

Process of alloy materials sampling, Q. Process of Alloy Materials Sampling...

Q. Process of Alloy Materials Sampling? The following alloy-materials require a minimum of 10% per lot representative PMI sampling. If any incorrect material is found in repres

Explain the tool angle, What is Tool Angle? The several angles influenc...

What is Tool Angle? The several angles influence tool performance to a considerable extent & therefore their value should be selected with great care & consideration. a) It

Opportunity cost, whats the example of opportunity cost?

whats the example of opportunity cost?

Discover the angle of twist - uniformly varying shaft, Discover the angle o...

Discover the angle of twist - uniformly varying shaft: A uniformly varying shaft of length 2 m is subjected to a torque of 2 kN-m. The diameter at the ends shall be 60 mm and

Describe crank-pin effort, Describe the following terms:- a) Gyroscope ...

Describe the following terms:- a) Gyroscope b) Crank-pin effort c) Piston Effort d) Crank effort e) Thrust on crank shaft bearings.  f) Brake and Dynamometer g

Evaluate the actual over all efficiency of the turbine, (a) An engine uses ...

(a) An engine uses 6.5 Kg of oil per hr of a calorific value 30,000 kJ / kg. If the B. P. of the engine is 22KW and mechanical efficiency 85%. Calculate (i) Brake thermal eff

Find out the common velocity, Find out their common velocity: An aerop...

Find out their common velocity: An aeroplane weighing 40 kN horizontally moves with a velocity of 20 m/sec (72 kmph, that means 72 km per hour). A helicopter of weight 20 kN i

Classification of system - thermodynamics, Classification of system - Therm...

Classification of system - Thermodynamics: (1) Kitchen refrigerator, (2) Ceiling fan (3) Thermometer in mouth (4) Air compressor (5) Pressure Cooker (6) Carburetor (7) R

Deflection at the centre - maximum deflection, Deflection at the centre - m...

Deflection at the centre - maximum deflection: A simply supported beam of span 6 m is subjected to Udl of 24 kN/m for a length of 2 m from left support. Discover the deflectio

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd