Fourier Transform of a sinc like equation

[InquiringM1nd]

I have been given this $$y(t)=\frac{sin(200πt)}{πt}$$

All I want is to find, is how the rectangular pulse will look like if I take the transformation of the above. That "200" kind of confusing me, because it isn't a simple $$sinc(t)=\frac{sin(πt)}{πt}$$

I need somehow to find the height of the pulse and frequency range.

If I had Y(f) after the Transformation, could I just use Fourier theorem below

$$y(0) = \int_{-\infty}^\infty Y(f)\,\mathrm df$$

to find the rectangle area? But also, I don't understand, at y(0) , it is supposed to be the whole area of the pulse or just the area at the center of the rectangle?

 

[Char. Limit]

I'm honestly not well versed in Fourier transforms, so I'm afraid I can't quite help you there. But isn't y(t) basically...

$$y(t) = \frac{sin(200\pi t)}{\pi t} = 200 \frac{sin(200 \pi t)}{200 \pi t} = 200 sinc(200t)$$

I don't suppose you could utilize that?

 

[InquiringM1nd]

I'm honestly not well versed in Fourier transforms, so I'm afraid I can't quite help you there. But isn't y(t) basically...

$$y(t) = \frac{sin(200\pi t)}{\pi t} = 200 \frac{sin(200 \pi t)}{200 \pi t} = 200 sinc(200t)$$

I don't suppose you could utilize that?

oh lol, I am tired a lot, I guess -.-

Thanks.