Question

For the simple harmonic motion equation D=4 sin(8pit) , what is the period? If necessary, use the slash (/) to represent a fraction.

Answer 1

What have you tried so far?

Answer 2

i think is 1/2 but i'm not sure

Answer 3

i mean 1/4

Answer 4

and you are right

Answer 5

so is 1/4?

Answer 6

y

Answer 7

?

Answer 8

yes

Answer 9

thanks ;)

Answer 10

Yup.
Look at what is in parenthesis for sin
8pi*t
set equal to 2pi and solve for t
8pi*t = 2pi
t = (2pi)/(8pi) = (1/4)

Answer 11

More generally if period of \( f(x) \) be \(T\) then \( kf(ax+b)\) will have a period of \(\huge \frac T {|a|} \)