An object in shm oscillates with a period of 4.0s and an amplitude of 11 cm. part a how long does the object take to move from x = 0.0 cm to x = 6.5 cm.

If the Amplitud is 11*2=22cm and the wave was in shm then we can get the wavelength as 11*2=22s.

From the wave equation,

v=fλ Where v⇒speed

f⇒frequency and

λ⇒Wavelength

And we know that;

f=1/T

f = 1/4 = 0.25 Hz

∴v = 0.25 * 22 = 5.5 cm/s

Since we know know the speed of the object we can get its time it takes from (0-6.5) cm.

v = fλ = λ/T

∴T = λ/v

= 6.5/5.5

= 1 2/11

= 1.181818s

The time taken for the object to move from x = 0.0 cm to x = 6.5 cm is 1.181818s