Calculate the angular acceleration of the wheel, Mechanical Engineering

Assignment Help:

Calculate the angular acceleration of the wheel:

A locomotive wheel of radius r = 0.8 m is illustrated in Figure. At the given instant, the speed of the locomotive is 1.6 m/sec and is accelerating at the rate of 2 m/sec2. Calculate the angular acceleration of the wheel and the acceleration of the points P1, P2, P3 and P4 lying on the vertical and horizontal diameters.

1608_Calculate the angular acceleration of the wheel.png

Solution

We have v A  = r ω . P2 is instantaneous centre of rotation.

∴ ω = vA / r= 1.6/0.8 = 2 rad / sec

a A  = r α

∴ α = a A / r =   2/0.8 = 2.5 rad / sec2

Supposing the wheel to be moving towards the right as illustrated ω and α will be in the clockwise direction.

Accelerations of P1, P2, etc. can be calculated very easily from the equations derived above.

aA t^ = a α = 2 m/sec2

a A n^ = a ω2 = 3.2 m / sec 2

Point P1

2100_Calculate the angular acceleration of the wheel1.png

tan θ =2/1.2 = 1.67

θ = 59.03o

∴ a p2 n = 3.2 m/sec2

Likewise for point P2, acceleration of P3 and P4 can be calculated in the same way.


Related Discussions:- Calculate the angular acceleration of the wheel

Plastics-reinforced plastics and adhesives, Plastics, Reinforced Plastics A...

Plastics, Reinforced Plastics And Adhesives Introduction Organic materials particularly that occur in nature like wood and leather have been employed for engineering caus

Defects involving inadequate bonding, Defects Involving Inadequate Bonding ...

Defects Involving Inadequate Bonding Lack of fusion Involves lack of complete melting and fusion of some portion of the weld metal in a joint. It may occur either bet

Throttling process - thermodynamics, Throttling Process: The expansion...

Throttling Process: The expansion of gas through an orifice or partly opened valve is called as throttling. q 1 -2 = 0 and w 1 -2  = 0 Now              The throt

Tension in the string and acceleration of body, Tension in the string and a...

Tension in the string and acceleration of body: The two bodies weighing 300N and 450N are hung to two ends of the rope passing over an ideal pulley as shown in the figure giv

Kkleins constraction, What is the limition of kkleins constraction?

What is the limition of kkleins constraction?

Equilibrium conditions - non concurrent force system, Equilibrium condition...

Equilibrium conditions: What are equilibrium conditions for non concurrent force system? Sol.: For the Equilibrium of non concurrent forces there are three conditions:

Handling tools and equipment for skid, Q. Handling tools and equipment for ...

Q. Handling tools and equipment for skid? Lifting or pulling and provisions for transportation of skid shall be in accordance with GS-904-0103, other relevant parts of contract

Military and civil aircraft, Military and Civil Aircraft: Military air...

Military and Civil Aircraft: Military aircraft can be of several types such as : (a) Cargo carriers, with capacity to carry heavy loads, such as trucks and tanks. (b) Fi

Draw a diagram of a simple carburettor, a) Draw a diagram of a simple carbu...

a) Draw a diagram of a simple carburettor and briefly explain its function. b) What are the basic characteristics of fuels for CI engines.

Ignition, how does catalytic ignition operate

how does catalytic ignition operate

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