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

Design a helical spring, A semi elliptical spring has 10 leaves in all, wit...

A semi elliptical spring has 10 leaves in all, with the two full length leaves extending 625 mm. It is 62.5 mm wide and is prepared by strips 6 mm thick. Prepare a design of helica

Surging, what is surging in turbo machines subject

what is surging in turbo machines subject

Calculate the safe load using eulers formula, A 1.5m long column has circul...

A 1.5m long column has circular cross-section of 5cm diameter. One of the end of the column is fixed in the position and direction and other end is free. Taking factor of safety as

Calculate the component of this vector, (a) Describe a vector and scalar ? ...

(a) Describe a vector and scalar ? (b) What is meant by line of action of vector ? (c) What are displacement vectors and position vector ? (d) Calculate the component of t

Calculate quantity of steam in the vessel - thermodynamics, Calculate quant...

Calculate quantity of steam in the vessel - thermodynamics: A closed metallic boiler drum having capacity of 0.24m 3 contains steam at pressure of 11bar and a temperature

What are the types of boundary layer, What are the types of Boundary Layer ...

What are the types of Boundary Layer and what do you understand by separation of Boundary layer. Can you Derive Hagen Poiseulle formula. Aslo illustrate Reynold's No.

Introduction to welding processes, INTRODUCTION TO WELDING PROCESSES We...

INTRODUCTION TO WELDING PROCESSES Welding is a material joining process used in making welds and a weld is a localised coalescence of metals or non metals produced either by he

Explain the study of readial drilling machine with spindle, Explain the stu...

Explain the study of readial Drilling machine with spindle The objective of this study is to study of readial Drilling machine with spindle. As in Radial Drilling machine th

Can you implement compatibility test, Q. Can you implement Compatibility te...

Q. Can you implement Compatibility test ? This test indicates the decrease in height of a mass of sand in a specimen tube with respect to its original height, under the actio

welding, types of welding, pressure and non pressure weldin

types of welding, pressure and non pressure welding

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