Engineering Answers

A disk 254 mm in diameter accelerates uniformly from a speed of 1000 r/min to 2000

r/min in 20 s. Find (a) the angular acceleration in radians per second squared and (b) the

revolutions of the disk during the 20-s interval.

An automobile accelerates from a speed of 32.2 km/h to 96.6 km/h in a distance of 89.3

m, which requires 5 s.

(a) If the acceleration is constant, find the acceleration in meters per second squared.

(b) Same as part (a) except the acceleration is not constant. What is the average

acceleration in meters per second squared?

Its shown in physics that the temperature ( ) , u x t at time t at the point x of a long,

insulated rod that lies along the x -axis satisfies the one-dimensional heat equation

2

2

u u

k

t x

 

=

 

, ( k is a constant).

Show that the function ( ) ( ) ( ) 2 u = u x, t = exp −n kt sin nx satisfies the one dimensional

heat equation for any choice of constant n

Generate a Cosine signal and one unit step signal using MATLAB codes

1. Write MATLAB codes to find the EVEN and ODD parts of the signal x(t)=e^2t

2. Write MATLAB codes to find the energy and power of the signal x(t)= 10 sin(10 πt)

Write a Matlab program to perform Amplitude scaling, Time Scaling and Time Shifting on the signal x(t)= 1+t, for t=0 to t=2.( Imagine arbitrary scaling factor)

X(t) = t-2 for -2<=t<=0

= 2-t for 0<=t<=+2

= 0 otherwise

Find out the Energy and power of the signal. Also check whether the signal is energy signals and power signals

Determine the Energy and power of del(t)

Determine the Energy and power of the signals.

X(t)=e^i(2t+π/2)

Extract the even part and odd part of the given signals,

1) x(t)=e^t

2) x(t)= 3+2t+5t^3