Explanation:
There are two ways to find out the equivalent impulse response of the system.
1. Convolution in time domain
2. Simple multiplication in Laplace domain
2nd method is efficient, easy and is less time consuming.
Step 1: Take the Laplace transform of the given three impulse response functions to convert time domain signals into s-domain
Step 2: Once we get signals in s-domain, multiply them algebraically to get the equivalent s-domain response.
Step 3: Take inverse Laplace transform of the equivalent impulse response to convert from s-domain into time domain.
Solution using Matlab:
Step 1: Take Laplace Transform
Ys1 = 1/(s + 1)
Ys2 = 1/s - exp(-s/2)/s
Ys3 = exp(-3*s)
Step 2: Multiplication in s-domain
Y = (exp(-(7*s)/2)*(exp(s/2) - 1))/(s*(s + 1))
Step 3: Inverse Laplace Transform (Final Solution in Time Domain)
h = heaviside(t - 7/2)*(exp(7/2 - t) - 1) - heaviside(t - 3)*(exp(3 - t) - 1)
Answer:4050 W
Explanation:
Given
Heat transfer Coefficient(h)=![20 W/m^2-K](https://tex.z-dn.net/?f=20%20W%2Fm%5E2-K)
Air temperature =75 F
surface area(A)=![7.5 m^2](https://tex.z-dn.net/?f=7.5%20m%5E2)
Temperature of hot tube is 102 F
We know heat transfer due to convection is given by
![Q=hA\left ( \Delta T\right )](https://tex.z-dn.net/?f=Q%3DhA%5Cleft%20%28%20%5CDelta%20T%5Cright%20%29)
![Q=20\times 7.5\left ( 102-75\right )=4050 W](https://tex.z-dn.net/?f=Q%3D20%5Ctimes%207.5%5Cleft%20%28%20102-75%5Cright%20%29%3D4050%20W)
Problem-Solving Tip: When cutting an FBD through an axial member, assume that the internal force is tension and draw the force arrow directed away from the cut surface. If the computed internal force value turns out to be a positive number, then the assumption of tension is confirmed.
Answer:
first is the parentheses, (3+2)=5 next is the exponent 5^2=25, next is the division 5 / 5 = 1, then the multiplication 4*1=4 and then you add 4+25=29. so the answer is 29.