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Help me to compute the power spectrum for a sampled signal using Matlab

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Hi!
I have a question on MATLAB as follows:
The signal x(t) = sin(ω1t) , given ω1 = 5 , is sampled at 7 samples/sec during8 sec. Compute the power spectrum for the sampled signal.
Can any body help me with that?
thanks
 

Question on MATLAB

Unless some adjustment in frequency axis, you can start trying the code below.

>> w1=5;
>> t=0:1/7:8;
>> ws=7;
>> x=sin(w1*t);
>> Xw=abs(fftshift(fft(x)));
>> Ws=[-28:28]*ws;
>> plot(Ws,Xw)
 

Re: Question on MATLAB

correct Matlab Code is:

>> w1=5;
>> t=0:1/7:8;
>> ws=7;
>> x=sin(2*pi*w1*t);
>> Xw=abs(fftshift(fft(x)));
>> Ws=[-28:28]*ws;
>> plot(Ws,Xw)
 

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